Step-by-step instructions on how to calculate the annual percentage of the deposit and loan amount. How to subtract percentages from a number: three effective ways to 5 percent from 10

Example 1

You go to the supermarket and see a promotion for . Its regular price is 458 rubles, now there is a 7% discount. But you have a store card, and according to it, a pack will cost 417 rubles.

To understand which option is more profitable, you need to convert 7% into rubles.

Divide 458 by 100. To do this, you simply move the comma separating the integer part of the number from the fractional part two positions to the left. 1% is equal to 4.58 rubles.

Multiply 4.58 by 7 and you get 32.06 rubles.

Now all that remains is to subtract 32.06 rubles from the regular price. According to the promotion, coffee will cost 425.94 rubles. This means that it is more profitable to buy it with a card.

Example 2

You see that the game on Steam costs 1,000 rubles, although it was previously sold for 1,500 rubles. You are wondering what percentage the discount was.

Divide 1,500 by 100. Moving the decimal point two places to the left gives you 15. That's 1% of the old price.

Now divide the new price by 1%. 1,000 / 15 = 66.6666%.

100% – 66.6666% = 33.3333%. This discount was provided by the store.

2. How to calculate percentages by dividing a number by 10

You first find the 10% rate and then divide or multiply it to get the percentage you need.

Example

Let's say you deposit 530 thousand rubles for 12 months. The interest rate is 5%, capitalization is not provided. You want to know how much money you will get in a year.

First of all, you need to calculate 10% of the amount. Divide it by 10 by moving the decimal place one place to the left. You will receive 53 thousand.

To find out how much 5% is, divide the result by 2. That's 26.5 thousand.

If the example was about 30%, you would need to multiply 53 by 3. To calculate 25%, you would have to multiply 53 by 2 and add 26.5.

In any case, it is quite easy to operate with such large numbers.

3. How to calculate percentages by making a proportion

Making proportions is one of the most useful skills taught to you in . You can use it to calculate any percentage. The proportion looks like this:

amount constituting 100% : 100% = part of the amount: share as a percentage.

Or you can write it like this: a: b = c: d.

Typically, proportion is read as “a is to b as c is to d.” The product of the extreme terms of a proportion is equal to the product of its middle terms. To find out the unknown number from this equality, you need to solve the simplest equation.

Example 1

For an example of calculations, we use the recipe. You want to cook it and bought a suitable 90 g chocolate bar, but you couldn’t resist taking a bite or two. Now you only have 70g of chocolate and you need to know how much butter to put instead of 200g.

First, calculate the percentage of chocolate remaining.

90 g: 100% = 70 g: X, where X is the mass of the remaining chocolate.

X = 70 × 100 / 90 = 77.7%.

Now we make a proportion to find out how much oil we need:

200 g: 100% = X: 77.7%, where X is the required amount of oil.

X = 77.7 × 200 / 100 = 155.4.

Therefore, you need to put approximately 155 g of butter in the dough.

Example 2

The proportion is also suitable for calculating the profitability of discounts. For example, you see a blouse for 1,499 rubles with a 13% discount.

First, find out how much a blouse costs as a percentage. To do this, subtract 13 from 100 and get 87%.

Make up the proportion: 1,499: 100 = X: 87.

X = 87 × 1,499 / 100.

Pay 1,304.13 rubles and wear the blouse with pleasure.

4. How to calculate percentages using ratios

In some cases, you can use simple fractions. For example, 10% is 1/10 of a number. And to find out how much it will be in numbers, just divide the whole by 10.

• 20% - 1/5, that is, you need to divide the number by 5;
• 25% - 1/4;
• 50% - 1/2;
• 12,5% - 1/8;
• 75% is 3/4. This means you have to divide the number by 4 and multiply by 3.

Example

You found trousers for 2,400 rubles with a 25% discount, but you only have 2,000 rubles in your wallet. To find out if you have enough money for a new thing, carry out a series of simple calculations:

100% - 25% = 75% - the cost of the trousers as a percentage of the original price after applying the discount.

2,400 / 4 × 3 = 1,800. That’s how many rubles the pants cost.

5. How to calculate interest using a calculator

If life is not pleasant for you without a calculator, all calculations can be done with its help. Or you can do it even simpler.

• To calculate a percentage of an amount, enter the number equal to 100%, the multiplication sign, then the desired percentage and the % sign. For the coffee example, the calculation would look like this: 458 × 7%.
• To find out the amount minus interest, enter a number equal to 100%, a minus, the size of the percentage and the % sign: 458 - 7%.
• You can add up similarly, as in the example with a deposit: 530,000 + 5%.

6. How to calculate interest using online services

The site contains various calculators that calculate not only percentages. There are services for lenders, investors, entrepreneurs and all those who do not like to do mental math.

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

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

After this there are two options:

1. If you want to find out what percentage another amount is from the original, you just need to divide it by the 1% amount obtained earlier.
2. If you need an amount that is, say, 27.5% of the original, you need to multiply the amount of 1% by the required amount of interest.

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

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

Let us have A - the principal amount equal to 100%, and B - the amount whose relationship with A as a percentage we need to find out. We write down the proportion:

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

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

Don't know your rights?

X = 100 * V / A

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

B = 100 * X / A

Now all that remains is to substitute known numbers into the formula - and you can make the calculation.

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

Finally, you can use a simpler method. To do this, just remember that 1% as a decimal 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 indicate 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% is 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, it needs to be divided 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 threes after the decimal point).

How to subtract a percentage from an amount without using a calculator

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

1. Calculate the unknown number using one of the above methods, and then subtract it from the original one.
2. Immediately calculate the remaining amount. To do this, subtract from 100% the number of percentages that need to be subtracted, and convert the resulting result from percentage to number using any of the methods described above.

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

1. We subtract 16 from 100 (the total number of percent). We get 84.
2. We calculate how much 84% of 4779 is. We get 4014.36.

How to calculate (subtract) a percentage from a sum 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 an amount is solved very simply:

1. The initial amount is collected.
2. The “-” sign is pressed.
3. Enter the number of percentages you want to subtract.
4. The “%” sign is pressed.
5. The “=” sign is pressed.

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

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

Finally, there are now quite a few sites on the Internet that implement the online calculator function. In this case, you don’t even need to know how to calculate the percentage of the amount: all user operations are reduced to entering the required numbers in the windows (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 tax deduction or the amount of state duty. The fact is that in this case the calculations are more complicated: you not only need to find the percentages, but also add a constant part of the amount to them. An 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.

In mathematics, a percentage is one hundredth of a number. For example, 5% of 100 is 5.
This calculator will allow you to accurately calculate the percentage of a given number. There are various calculation modes available. You will be able to make various calculations using percentages.

• The first calculator is needed when you want to calculate the percentage of the amount. Those. Do you know the meaning of percentage and amount?
• The second one is if you need to calculate what percentage X is of Y. X and Y are numbers, and you are looking for the percentage of the first in the second
• The third mode is adding a percentage of the specified number to the given number. For example, Vasya has 50 apples. Misha brought Vasya another 20% of the apples. How many apples does Vasya have?
• The fourth calculator is the opposite of the third. Vasya has 50 apples, and Misha took 30% of the apples. How many apples does Vasya have left?

Frequent tasks

Solution: We use the first calculator. Enter the bet 6 in the first field, 100000 in the second
We receive 6,000 rubles. - tax amount.

Problem 2. Misha has 30 apples. He gave 6 to Katya. What percentage of the total number of apples did Misha give to Katya?

Solution: We use the second calculator - enter 6 in the first field, 30 in the second. We get 20%.

Task 3. At Tinkoff Bank, for replenishing a deposit from another bank, the depositor receives 1% on top of the replenishment amount. Kolya replenished the deposit with a transfer from another bank in the amount of 30,000. What is the total amount for which Kolya’s deposit will be replenished?

Solution: We use the 3rd calculator. Enter 1 in the first field, 10000 in the second. Click on the calculation and we get the amount of 10,100 rubles.

A percentage is one hundredth of a number taken as a whole. Percentages are used to indicate the relationship of a part to the whole, as well as to compare quantities.

1% = 1 100 = 0,01

The interest calculator allows you to perform the following operations:

Find the percentage of a number

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

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

For example, a product costs 500 rubles and there is a 7% discount on it. Let's 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 what percentage the number 12 is from 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 what percentage of the entire book Vasya read.
200 340 · 100% = 0.59 · 100 = 59%
Thus, Vasya read 59% of the entire book.

Add percentage to number

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

Add 30% to the number 200:
200 (1 + 30 100 ) = 200 1.3 = 260
200 + 30% equals 260.

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

Subtract the percentage from the number

To subtract from a 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 it 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.

What percentage is one number greater than another?

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 300% greater than the number 5.

For example, the boss’s salary is 50,000 rubles, and the employee’s salary is 30,000 rubles. Let's find out how many percent the boss's salary is greater:
50000 35000 · 100 - 100 = 1.43 * 100 - 100 = 143 - 100 = 43%
Thus, the boss's salary is 43% higher than the employee's salary.

What percentage is one number less than another?

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 75% less than the number 20.

For example, freelancer Oleg completed orders worth 40,000 rubles in January, and 30,000 rubles in February. Let's find how many percent less Oleg earned 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 the number x This p percent, then you can find 100 percent by multiplying the number x on 100p

Let's find 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. In 5 minutes, 20% of the photos were copied. Let's find how long the copying process takes:
5 · 100 20 = 5 5 = 25
We find that the process of copying all photos takes 30 minutes.

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

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

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

Find the percentage of a number

To find the 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 is 36.

For example, a product costs 500 rubles and there is a 7% discount on it. Let's 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 what percentage the number 12 is from 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 what percentage of the entire book Vasya read.
200/340 100% = 0.59 100 = 59%
Thus, Vasya read 59% of the entire book.

Add percentage to number

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

Add 30% to the number 200:
200 (1 + 30/100) = 200 1.3 = 260
200 + 30% equals 260.

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

Subtract the percentage from the number

To subtract from a 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 it 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.

What percentage is one number greater than another?

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 300% greater than the number 5.

For example, the boss’s salary is 50,000 rubles, and the employee’s salary is 30,000 rubles. Let's find out how many percent the boss's salary is greater:
50000/35000 100 - 100 = 1.43 * 100 - 100 = 143 - 100 = 43%
Thus, the boss's salary is 43% higher than the employee's salary.

What percentage is one number less than another?

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 75% less than the number 20.

For example, freelancer Oleg completed orders worth 40,000 rubles in January, and 30,000 rubles in February. Let's find how many percent less Oleg earned 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 the number x This p percent, then you can find 100 percent by multiplying the number x on 100/p

Let's find 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. In 5 minutes, 20% of the photos were copied. Let's find how long the copying process takes:
6 100/20 = 6 5 = 30
We find that the process of copying all photos takes 30 minutes.

Online calculators and converters: