Interest calculator online. How to find the percentage of a number

Learning how to calculate a percentage of an amount can always be required: for calculating taxes, credit, discounts, payments, commissions and much more.

To do this, you need to divide the whole number by 100 - this will be 1%.

Calculation using proportions

This method of calculation is known to everyone from the school curriculum.

The calculation is used in cases where it is necessary to calculate the percentage between two data. In other words, if one number represents 100%, how much will the second number be?

For example, X (x) is 100%, Y is n%. To calculate the value of n, you need to write an example in the following form:

Multiplying the numbers diagonally, we get the proportion:

500 = 100%, 25 = n%.
n = (25*100)/500 = 5%.

Note: in these cases, Y must be less than X, otherwise the result will be greater than 100%.

If you need to get a number that makes up any part, you will need to use the inverse formula:

Y = (5*500)/100 = 25.

Calculation using known ratios

If the above method is too complicated, you can use a simpler option. It is based on the fact that 1% = 0.01.

That is, to find a percentage, it is enough to multiply the number by the digit translated into a decimal fraction.

In formula form, it looks like this:

Example.

How much will be 15% of 300.

15%/100 = 0,15.
0,15*300 = 45.

In addition to decimal fractions, you can use translated simple fractions - for this, it is enough to write a percentage in the numerators of the fraction, and 100 in the denominator. For simplicity, some of the most popular fractions are given below:

1/8 = 12.5% - data divided by 8;
1/5 = 20% - divide by 5;
1/4 \u003d 25% - divisible by 4;
1/2 = 50% - divisible by 2.

Take note: some simple fractions cannot completely replace decimals: for example, 1/3 - 33, (3)%, that is, an infinite indivisible value, it will not work to completely replace it with 33%.

How to calculate with a calculator

Deriving a percentage using a calculator is unlikely to seem like a difficult task for someone.

Often there is a special "%" icon on it, which will automatically calculate the number.

If you need to add some part to the amount, you need to do:

Dial the original number on the calculator.
Press "+" and enter a percentage number.
Then click the “%” icon, after which the calculator will calculate the amount that will be the percentage, and immediately add it up.

In addition to addition, you can also subtract the percentage by pressing instead of "+" - "-" ("subtract").

Take into account: when multiplying or dividing, a decimal fraction will be used instead of a fraction: for example, when multiplying by 10%, it will be multiplied by 0.1.

Calculation using an online calculator

Calculating the percentage using a regular online calculator is not difficult.

Many of them are made according to the principle of standard devices, and therefore the calculations are carried out according to the above scheme.

If there is no “%” button on the online calculator, calculations can be done in two ways:

Divide the percentage by 100 and multiply by that number. Example: allocate 15% of 300. 15/100 = 0.15; 0.15*300 = 45.
Divide the number by 100 and multiply by the percentage: 300/100 = 3; 3*15 = 45.

If you need a location to pay a loan, mortgage, OSAGO or tax deductions, you can use specialized calculators. They are easy to find by searching.

They differ significantly from simple calculators: for example, when calculating the cost of OSAGO, you will need to select the type of car, engine power, indicate the length of service, age and region, and some other data. Based on these data, the calculator will calculate the approximate average cost in rubles of the policy.

It is worth noting: unfortunately, the amount received from such calculations is only approximate - the correct data will be calculated by a specialist upon personal contact.

How to calculate by what percentage the amount increased or decreased

This can be done in the way indicated in the first paragraph: calculate how much is 1%, then get the difference between the data (subtract the larger figure from the smaller one) and divide it by the result.

Example: you need to calculate how much 200 decreased if it became 150.

200 is 100%, 1% = 200/100 = 2.
200-150 = 50.
50/2 = 25, i.e. 150 increased by 25%.

150 is 100%, so 1% = 150/100 = 1.5.
200-150 = 50.
50/1,5 = 33,3%.

Worth considering: since in the first case the figure decreased, and in the second it increased, the results also turned out to be different.

To calculate the ratio between increasing numbers, you can use another method. To do this, the final value must be divided by the initial value and look at three digits after the decimal point. Rewriting them separately and putting a comma after the first two, we get the result.

The principle of action is best seen in an example: you need to find how much the number increased if it turned from 150 into 200.

200/150 = 1,33333…
Three decimal places is "333". Separating the first two digits, we get "33.3%".

Example 2: out of 100 it turned out 110.

110/100 = 1.1 or 1.100.
100 is 10.0%.

The calculation of interest may be required for various calculations: to determine the amount of tax, credit, to pay customers on the account, etc. You can carry out calculations in different ways, choosing the most understandable and simple.

Watch the video, which explains how to quickly calculate the percentage of the amount without a calculator:

One percent is a hundredth of a number. This concept is used when it is necessary to designate the ratio of a share to a whole. In addition, several values can be compared as percentages, while necessarily indicating which integer the percentages are calculated relative to. For example, expenses are 10% higher than income or the price of train tickets has increased by 15% compared to the fares of the previous year. A percentage above 100 means that the proportion is greater than the whole, as is often the case in statistical calculations.

Interest as a financial concept - payment, the borrower to the lender for the provision of money for temporary use. In business, there is an expression "to work for interest." In this case, it is understood that the amount of remuneration depends on profit or turnover (commission). It is impossible to do without calculating interest in accounting, business, banking. To simplify the calculations, an online percentage calculator has been developed.

The calculator allows you to calculate:

Percentage of the set value.
Percentage of the amount (tax on actual salary).
Percentage of the difference (VAT from ).
And much more...

When solving problems on a percentage calculator, you need to operate with three values, one of which is unknown (a variable is calculated according to the given parameters). The calculation scenario should be selected based on the given conditions.

Calculation examples

1. Calculate the percentage of a number

To find a number that is 25% of 1,000 rubles, you need:

1,000 × 25 / 100 = 250 rubles
Or 1,000 × 0.25 = 250 rubles.

To calculate on a regular calculator, you need to multiply 1,000 by 25 and press the% button.

2. Definition of an integer (100%)

We know that 250 rubles. is 25% of some number. How to calculate it?

Let's make a simple proportion:

250 rub. - 25%
Y rub. - 100 %
Y \u003d 250 × 100 / 25 \u003d 1,000 rubles.

3. Percentage between two numbers

Suppose a profit of 800 rubles was supposed, but they received 1,040 rubles. What is the overage percentage?

The proportion will be:

800 rub. - 100 %
RUB 1,040 – Y%
Y = 1040 × 100 / 800 = 130%

Overfulfillment of the plan for profit - 30%, that is, implementation - 130%.

4. Calculation not from 100%

For example, a store with three departments is visited by 100% of customers. In the grocery department - 800 people (67%), in the department of household chemicals - 55. What percentage of buyers come to the department of household chemicals?

Proportion:

800 visitors - 67%
55 visitors - Y %
Y = 55 × 67 / 800 = 4.6%

5. What percentage is one number less than another

The price of the goods fell from 2,000 to 1,200 rubles. By what percent did the commodity become cheaper, or by what percentage is 1,200 less than 2,000?

2 000 - 100 %
1 200 – Y%
Y = 1200 × 100 / 2000 = 60% (60% to 1200 of 2000)
100% − 60% = 40% (number 1200 is 40% less than 2000)

6. By what percentage is one number greater than another

Salary increased from 5,000 to 7,500 rubles. By what percent did the salary increase? How many percent is 7,500 more than 5,000?

5 000 rub. - 100 %
7 500 rub. - Y%
Y = 7,500 × 100 / 5,000 = 150% (in the figure 7,500 is 150% of 5,000)
150% - 100% = 50% (the number 7,500 is 50% greater than 5,000)

7. Increase the number by a certain percentage

The price of goods S is higher than 1,000 rubles. by 27%. What is the price of the item?

1 000 rub. - 100 %
S - 100% + 27%
S \u003d 1,000 × (100 + 27) / 100 \u003d 1,270 rubles.

The online calculator makes calculations much easier: you need to select the type of calculation, enter a number and a percentage (in the case of calculating a percentage, the second number), indicate the accuracy of the calculation and give a command to start actions.

Greetings! I am sure that I do not have to know and be able to do everything in the world. Yes, this is impossible in principle. But in the most important areas for a person, it is worth navigating at least at the level of a “teapot”.

I include work, business, family, health and, of course, money as vital areas. What am I leading to? To the fact that any investment requires. Even if it is a banal bank deposit or business development loan.

To be honest, I have not done such calculations manually for a very long time. For what? After all, there are a lot of convenient applications and online calculators. As a last resort, a “fail-safe” Excel spreadsheet will help out.

But it doesn’t hurt to know the elementary formulas for basic calculations! Agree, interest on deposits or loans can definitely be attributed to the "basic".

Below we will recall school algebra. It must come in handy somewhere in life.

We calculate the percentage of the deposit amount

Let me remind you that interest on a bank deposit can be simple and complex.

In the first case, the bank accrues income on the initial amount of the deposit. That is, every month / quarter / year the depositor receives the same “bonus” from the bank.

Of course, the calculation formulas for simple and compound interest are different from each other.

Let's consider them on a specific example.

Return on investment with simple interest

Amount % \u003d (deposit * rate * days in the billing period) / (days in the year * 100)

Example. Valera opened a deposit in the amount of 20,000 rubles at 9% per annum for one year.

Calculate the return on investment for a year, a month, a week and one day.

The amount of interest for the year \u003d (20,000 * 9 * 365) / (365 * 100) \u003d 1800 rubles

It is clear that in our example, the annual yield could be calculated much easier: 20,000 * 0.09. And as a result, get the same 1800 rubles. But since we decided to count according to the formula, then we will count according to it. The main thing is to understand the logic.

The amount of interest for the month (June) \u003d (20,000 * 9 * 30) / (365 * 100) \u003d 148 rubles

The amount of interest for the week \u003d (20,000 * 9 * 7) / (365 * 100) \u003d 34.5 rubles

The amount of interest per day = (20,000 * 9 * 1) / (365 * 100) = 5 rubles

Agree, the formula of simple interest is elementary. It allows you to calculate the return on the deposit for any number of days.

Return on investment with compound interest

Let's complicate the example. The formula for calculating compound interest is a little more “tricky” than in the previous version. The calculator must have a "degree" function. Alternatively, you can use the degree option in an Excel spreadsheet.

Amount % = contribution * (1 + rate for the capitalization period) number of capitalizations - contribution
Rate for the capitalization period = (annual rate*days in the capitalization period)/(number of days in a year*100)

Let's go back to our example. Valera placed the same 20,000 rubles on a bank deposit at 9% per annum. But this time - .

First, let's calculate the rate for the capitalization period. According to the terms of the deposit, interest is accrued and "plus" to the deposit once a month. This means that we have 30 days in the capitalization period.

Thus, the rate for the capitalization period = (9*30)/(365*100) = 0.0074%

And now we consider how much our contribution will bring in the form of interest for different periods.

The amount of interest for the year \u003d 20,000 * (1 + 0.0074) 12 - 20,000 \u003d 1,850 rubles

We raise to the power of "12" because the year includes twelve periods of capitalization.

As you can see, even with such a symbolic amount and a short term, the difference in the yield of a deposit with simple and compound interest is 50 rubles.

The amount of interest for six months \u003d 20,000 * (1 + 0.0074) 6 - 20,000 \u003d 905 rubles

The amount of interest for the quarter \u003d 20,000 * (1 + 0.0074) 3 - 20,000 \u003d 447 rubles

The amount of interest for the month = 20,000 * (1 + 0.0074) 1 - 20,000 = 148 rubles

Note! Capitalization of interest does not affect the profitability of the deposit for the first month.

The depositor will receive all the same 148 rubles with both simple and compound interest. Differences in yields will start from the second month. And the longer the term of the deposit, the more significant the difference will be.

Before we get too far away from the topic of compound interest, let's check how true one of the recommendations of financial consultants is. I mean the advice to choose not once every six months or a quarter, but once a month.

Suppose our conditional Valera made a deposit for the same amount, term and at the same rate, but with capitalization of interest every six months.

Rate = (9*182)/(365*100) = 0.0449%

Now we calculate the return on investment for the year.

The amount of interest for the year \u003d 20,000 * (1 + 0.0449) 2 - 20,000 \u003d 1,836 rubles

Conclusion: other things being equal, the semi-annual capitalization will bring Valera 14 rubles less than the monthly one (1850 - 1836).

I understand that the difference is very small. But after all, other initial data we have are symbolic. On large sums and long terms, 14 rubles will turn into thousands and millions.

We calculate the percentage of the loan

We are moving from deposits to loans. In fact, the formula for calculating a loan is no different from the basic one.

Example. Yuri took out a consumer loan at Sberbank in the amount of 100,000 rubles for 2 years at 20% per annum.

Amount % \u003d (balance of debt * annual rate * days in the billing period) / (number of days in a year * 100)

The amount of interest for the first month = (100000 * 20 * 30) / (365 * 100) = 1644 rubles

The amount of interest for one day \u003d (100000 * 20 * 1) / (365 * 100) \u003d 55 rubles

Note! Along with the balance of the debt, the amount of interest on the loan also decreases. In this regard, the differentiated scheme is much more "fair" than the annuity one.

Now let's say our Yuri paid off half of his loan. And now the balance of his debt to the bank is not 100,000, but 50,000 rubles.

How much will the interest burden be reduced for him?

The amount of interest per month = (50,000 * 20 * 30) / (365 * 100) = 822 rubles (instead of 1644)

The amount of interest for one day \u003d (50,000 * 20 * 1) / (365 * 100) \u003d 27 rubles (instead of 55)

Everything is fair: the debt to the bank has halved - the “interest” burden on the borrower has halved.

Do you calculate interest on loans and deposits for yourself? Subscribe to updates and share links to fresh posts with friends on social networks!

Percent is one hundredth of a number taken as an integer. Percentages are used to indicate the ratio of a part to a whole, as well as to compare quantities.

Using the mathematical percentage calculator you can make all kinds of calculations using percentages. Rounds results to the desired number of decimal places. What percentage is X of Y. What number is X percent of Y. Add or subtract percentages from a number.

The online interest calculator allows you to perform the following operations:

Find percentage of a number

To find a percentage p from a number, you need to multiply this number by the fraction p / 100

Let's find 12% of the number 300:
300 12/100 = 300 0.12 = 36
12% of 300 equals 36.

For example, a product costs 500 rubles and a 7% discount applies to it. Find the absolute value of the discount:
500 7/100 = 500 0.07 = 35
Thus, the discount is 35 rubles.

What percentage is one number of another

To calculate the percentage of numbers, you need to divide one number by another and multiply by 100%.

Let's calculate how many percent is the number 12 of the number 30:
12/30 100 = 0.4 100 = 40%
The number 12 is 40% of the number 30.

For example, a book contains 340 pages. Vasya read 200 pages. Let's calculate how many percent of the whole book Vasya has read.
200/340 100% = 0.59 100 = 59%
Thus, Vasya read 59% of the entire book.

Add a percentage to a number

To add to the number p percent, you need to multiply this number by (1 + p / 100)

Let's add 30% to the number 200:
200 (1 + 30/100) = 200 1.3 = 260
200 + 30% equals 260.

For example, a subscription to the pool costs 1000 rubles. From next month they promised to raise the price by 20%. Let's calculate how much the subscription will cost.
1000 (1 + 20/100) = 1000 1.2 = 1200
Thus, the subscription will cost 1200 rubles.

Subtract a percentage from a number

To subtract from the number p percent, you need to multiply this number by (1 - p / 100)

Subtract 30% from the number 200:
200 (1 - 30/100) = 200 0.7 = 140
200 - 30% equals 140.

For example, a bicycle costs 30,000 rubles. The store gave him a 5% discount. Let's calculate how much the bike will cost, taking into account the discount.
30000 (1 - 5/100) = 30000 0.95 = 28500
Thus, the bike will cost 28,500 rubles.

By what percentage is one number greater than the other?

To calculate how many percent one number is greater than another, you need to divide the first number by the second, multiply the result by 100 and subtract 100.

Let's calculate how many percent the number 20 is greater than the number 5:
20/5 100 - 100 = 4 100 - 100 = 400 - 100 = 300%
The number 20 is greater than the number 5 by 300%.

For example, the salary of a boss is 50,000 rubles, and an employee is 30,000 rubles. Find by how many percent the boss's salary is higher:
50000/35000 100 - 100 = 1.43 * 100 - 100 = 143 - 100 = 43%
Thus, the boss's salary is 43% higher than the employee's salary.

By what percentage is one number less than the other?

To calculate how many percent one number is less than another, you need to subtract from 100 the ratio of the first number to the second, multiplied by 100.

Let's calculate how many percent the number 5 is less than the number 20:
100 - 5/20 100 = 100 - 0.25 100 = 100 - 25 = 75%
The number 5 is less than the number 20 by 75%.

For example, freelancer Oleg in January completed orders for 40,000 rubles, and in February for 30,000 rubles. Let's find by what percentage Oleg earned less in February than in January:
100 - 30000/40000 100 = 100 - 0.75 * 100 = 100 - 75 = 25%
Thus, in February Oleg earned 25% less than in January.

Find 100 percent

If number x This p percent, then you can find 100 percent by multiplying the number x on 100/p

Finding 100% if 25% is 7:
7 100/25 = 7 4 = 28
If 25% equals 7, then 100% equals 28.

For example, Katya copies photos from her camera to her computer. 20% of photos were copied in 5 minutes. Let's find how much time the copying process takes:
6 100/20 = 6 5 = 30
We get that the process of copying all photos takes 30 minutes.

Online calculators and converters:

How to calculate the percentage of the amount, you need to know in many cases (when calculating the state duty, credit, etc.). We will tell you how to calculate the percentage of the amount using a calculator, proportions and known ratios.

How to find out the percentage of the amount in the general case?

After that, there are two options:

If you need to find out what percentage is another amount from the original, you just need to divide it by the amount of 1% received earlier.
If you need the size of the amount, which is, say, 27.5% of the original, you need to multiply the size of 1% by the required percentage.

How to calculate a percentage from an amount using a proportion?

But you can do it differently. To do this, you will have to use the knowledge of the method of proportions, which take place as part of the school mathematics course. It will look like this.

Let us have A - the main amount equal to 100%, and B - the amount, the ratio of which to A as a percentage we need to know. Write down the proportion:

(X in this case is the number of percent).

According to the rules for calculating proportions, we get the following formula:

Don't know your rights?

X \u003d 100 * B / A

If you need to find out how much the amount B will be with the already known number of percent of the amount A, the formula will look different:

B \u003d 100 * X / A

Now it remains to substitute the known numbers into the formula - and you can calculate.

How to calculate the percentage of the amount using known ratios?

Finally, there is an easier way. To do this, just remember that 1% in the form of a decimal fraction is 0.01. Accordingly, 20% is 0.2; 48% - 0.48; 37.5% is 0.375, etc. It is enough to multiply the original amount by the corresponding number - and the result will mean the amount of interest.

In addition, sometimes you can use simple fractions. For example, 10% is 0.1, that is, 1/10, therefore, finding out how much 10% will be is simple: you just need to divide the original amount by 10.

Other examples of such relationships would be:

12.5% - 1/8, that is, you need to divide by 8;
20% - 1/5, that is, you need to divide by 5;
25% - 1/4, that is, divide by 4;
50% - 1/2, that is, you need to divide in half;
75% is 3/4, that is, you need to divide by 4 and multiply by 3.

True, not all simple fractions are convenient for calculating percentages. For example, 1/3 is close in size to 33%, but not exactly equal: 1/3 is 33.(3)% (that is, a fraction with infinite triples after the decimal point).

How to subtract a percentage from an amount without the help of a calculator

If you need to subtract an unknown number from an already known amount, which is a certain percentage, you can use the following methods:

Calculate an unknown number using one of the above methods, and then subtract it from the original.
Immediately calculate the remaining amount. To do this, subtract from 100% the number of percentages that need to be subtracted, and translate the result obtained from percentages into a number using any of the methods described above.

The second example is more convenient, so let's illustrate it. Let's say you need to find out how much will remain if 16% is subtracted from 4779. The calculation will be like this:

Subtract from 100 (total percent) 16. We get 84.
We consider how much it will be 84% of 4779. We get 4014.36.

How to calculate (subtract) the percentage from the amount with a calculator in hand

All of the above calculations are easier to do using a calculator. It can be either in the form of a separate device or in the form of a special program on a computer, smartphone or regular mobile phone (even the oldest devices currently in use usually have this function). With their help, the question of how to calculate the percentage of the amount is solved very simply:

The initial amount is collected.
The "-" sign is pressed.
Enter the percentage to be subtracted.
The "%" sign is pressed.
The "=" sign is pressed.

As a result, the desired number is displayed on the screen.

How to subtract a percentage from the amount using an online calculator

Finally, now there are enough sites on the network where the online calculator function is implemented. In this case, you don’t even need to know how to calculate the percentage of the amount: all user operations come down to entering the required numbers in the boxes (or moving the sliders to get them), after which the result is immediately displayed on the screen.

This function is especially convenient for those who calculate not just an abstract percentage, but a specific amount of a tax deduction or the amount of a state duty. The fact is that in this case the calculations are more complicated: it is required not only to find the percentages, but also to add the constant part of the amount to them. The online calculator allows you to avoid such additional calculations. The main thing is to choose a site that uses data that complies with the current law.