Finding a part of a number and a number from its part. Online calculator. Find a number, knowing what the specified percentage of it is equal to

we see quite often in everyday life. Let's take a bar of chocolate, a pack of ice cream on which it says “56% cocoa”, “100% ice cream”. What is a percentage?

Percentage called one hundredth part. Write it down briefly 1 % . Sign % replaces the word "percentage".

Whatever number or quantity we take, its hundredth part is one percent of the given number or quantity. For example, for the number 400 (0.01 of the number 400) is the number 4, so 4 is 1% of the number 400; 1 hryvnia (0.01 hryvnia) is 1 kopeck, so 1 kopeck is 1% of the hryvnia.

For example:

The puzzle contains 500 elements. How many elements are there in 1 percent of it? Let 500 puzzle pieces be 100%. Then 1% contains 100 times less of its elements. Hence 500: 100 = 5 (el.). So, 1% is 5 pieces of the puzzle.

Please note: to find 1% of a number A, you need to divide this number by 100. Knowing what number or value is 1%, you can find the number or value that is a few percent.

For example:

Marina needs to sew on a braid, 3 cm of which is 1% of her length. Marina sewed 50% of the braid. How many centimeters of braid did she sew? Since 50% is 50 times greater than 1%, Marina sewed braids 50 times larger than 3 cm. Hence 3.50 = 150 (cm). So, Marina sewed 150 cm of braid.

In practice, it often happens that both of the above problems must be solved together - first find what number or value is in 1%, and then in several percent. Such tasks are called problems to find the percentage of a number.

For example:

Sweet pears contain 15% sugar. How much sugar is in 3 kg of pears?

Let's make a short record of the task data.

Pears: 3 kg – 100%

Sugar: ? - 15%

1. How many kilograms corresponds to 1%?

Percentage of two numbers is their ratio expressed as a percentage. A percentage shows what percentage one number is of another.

Using a 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.

Interest calculator

clear form

How much is % of number

Calculation

0% of number 0 = 0

Interest calculator

clear form

What % is the number from the number

Calculation

Number 15 from number 3000 = 0.5%

Interest calculator

clear form

Add % to number

Calculation

Add 0% to the number 0 = 0

Interest calculator

clear form

Subtract % from the number

Calculation to clear everything

The calculator is designed specifically for calculating interest. Allows you to perform a variety of calculations when working with percentages. Functionally it consists of 4 different calculators. See examples of calculations on the interest calculator below.

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

Task 1. An individual entrepreneur receives 100 thousand rubles every month. He works in a simplified manner and pays taxes of 6% per month. How much tax does an individual entrepreneur have to pay per month?

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.

One of the basic concepts of mathematics is percentage. In order to understand what a percentage is, it is enough to divide the given whole value by one hundred. One hundredth would be one percent (denoted 1%). Both in the exact and economic sciences, and in other areas of life, percentages are used to indicate shares in relation to the whole. In this case, the whole itself is designated as 100%. In some cases, it is used when comparing two values: for example, sometimes the cost of goods is not compared in monetary units, but is estimated by how many% the price of one product is more or less than the price of another. The term has also become widespread in banking and is mostly used as a synonym for interest rate.

Rule for finding percentages of a number

Calculating percentages of a whole is one of the basic mathematical operations, and is also often used in everyday life. The rule for finding percentages of a number states that to solve such a problem, it must be multiplied by the amount of % specified in the conditions, after which the resulting result is divided by 100. You can also divide the number by 100, and the resulting result is multiplied by the specified amount of %. It is important to remember one more thesis: if the percentage specified by the conditions exceeds 100%, then the resulting numerical value is always greater than the initial (specified) one - and vice versa.

The rule for finding a number by its percentage

There is an inverse rule for finding a number by its percentage. In order to obtain the result of such a mathematical operation (the second of the three basic types of problems for percentage calculations), it is necessary to divide the number specified in the conditions by a given percentage value, after which the resulting result is multiplied by 100. In this case, the first action is to calculate the number of units of the original value in 1 %, and the second - in general (that is, 100%). If the number of % exceeds 100, then the result obtained will always be less than the numerical value specified by the conditions of the problem - and vice versa.

The rule for finding the percentage expression of a number from another

The third basic type of mathematical problems involving percentage calculations are those in which it is necessary to use the rule for finding the percentage expression of a number from another (or the ratio of two quantities). It says that to solve it is necessary to divide the second number by the first, after which the resulting result is multiplied by one hundred. Such a ratio shows how many % one numerical value is from another (that is, in fact we are talking about the relationship between two numerical values, expressed in %).

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The simplest and most obvious method is to draw up a proportion. All further calculations take place on its basis. It looks like this:

• 45 is a known number equal to 100%.
• ? – a number that is 15% of 45.

Next, the fraction is simplified to an equation with one unknown. According to mathematical laws, cross-sectional data are equal in proportion, that is: 45*15%=?*100%. To find “?”, we use a simple rule and get the following.

The calculation of the proportion formula always occurs on the principle of multiplying known data located on the diagonal and dividing them by a third number.

You can create a formula with any unknown in . To avoid confusion as to whether a percentage or a number is the result, we recall the rule of reduction in fractions - if the percentage sign (%) or monetary symbol (rub) is present both above and below, it is reduced. Example:

The result of the calculation is a monetary amount.

How to find the percentage of a number. Options

Let us consider in order the situations of finding interest.

How to find 100%. It is necessary to calculate the number, 15% of which is equal to 45. We make up the proportion:

We calculate using the formula: (45*100)/15=300

If you don't know how much 100% is. Sometimes calculations are carried out regarding the same initial data, but their exact value is unknown. For example: yesterday 15% of the total quantity of cookies worth 450 rubles, and today 25%.

How much did you sell for today? Since the amount for 100% is the total value for both 15% and 25%, you can carry out calculations without searching for the full cost.

We calculate using the formula: (25*450)/15=750

You can complicate the task if you are not sure of the calculations, or there is a need to check the result. To do this, first find 100%, based on complete data (15% costs 450 rubles), and then count 25% from 100%.

How much less a number is than another as a percentage

For example: the usual cost of powder is 500 rubles. According to the promotion, the price was reduced to 480 rubles. How much is the share price less than the original price as a percentage? First, find the percentage component of the promotional price from the base price, and then find their difference. Let's make a proportion:

We calculate using the formula: (480*100)/500=96. 100%-96%=4%. The stock price is 4% less than the original price.

How much more a number is than another as a percentage. Example: a keyboard cost 300 rubles, and after the dollar increased, the price increased to 390 rubles. How much has the price of the keyboard changed in percentage? First, find the total interest rate of the new price relative to the original one, then calculate their difference. Let's make a proportion:

We calculate using the formula: (390*100)/300=130. 130%-100%=30%. The price increased by 30%.

The unknown number is greater than the known number by a certain percentage. Example: a product in a store is 15% more expensive than a product in a warehouse. The price of sugar in the warehouse is 50 rubles and is equal to 100%. Store price – 100%+15%=115%. We calculate using the formula: (115*50)/100=57.5

The unknown number is less than the known number by a given percentage. Example: wholesale is 5% cheaper. The price for retail is 60 rubles and is equal to 100 percent, for wholesale – 100% -5% = 95%. Let's make a proportion:

We calculate using the formula: (60*95)/100=57

Percentage between two numbers. A situation where a number is known that is 100% and a number that is a certain fraction of the original. Example: a shipment of 60 boxes was expected, but 53 were delivered. What percentage of the plan was fulfilled? Let's make a proportion:

We calculate using the formula: (53*100)/60=88.3

The most difficult “task” is not to get confused in drawing up the proportion.

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The ability to calculate a percentage of a number when you need to find out a late fee, the amount of an overpayment on a loan, or a company’s profit if its turnover and markup are known.

• How to find a number by its percentage?

Rule. To find a number by its specified percentage, you need to divide the given number by the given percentage value, and multiply the result by 100.

With this calculation, we first determine how many units of this number are contained in 1%, and then in the whole number (100%).

For example:
A number whose 23% is 52 is found like this:
52: 23 * 100 = 226.1

This means that if the number 226.1 is equal to 100%, then the number 52 is equal to 23% of this number.

We find a number whose 125% is 240 as follows:
240: 125 * 100 = 192.

When determining a number by its percentage, remember that:

- if the percentage is less than 100%, then the number obtained as a result of calculations is greater than the specified number (if 23%< 100%, то 226,1 > 52);
— if the percentage is greater than 100%, then the number obtained as a result of the calculation is less than the specified number (if 125% > 100%, then 192< 240).

Therefore, when calculating a number by its percentage, for self-control you need to check:

— the percentage specified in the condition is greater or less than 100%;
— the result of a calculation is greater or less than a given number.

• 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?

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 A be the principal amount equal to 100%, and B be the amount whose relationship with A as a percentage we need to know. 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:

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:

1. 12.5% ​​- 1/8, that is, you need to divide by 8;
2. 20% - 1/5, that is, you need to divide by 5;
3. 25% - 1/4, that is, divide by 4;
4. 50% - 1/2, that is, it needs to be divided in half;
5. 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, which is a certain amount of percent, from an already known amount, 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 an 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 how to calculate percentage from amount, The solution is very simple:

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 percentage of amount: all user operations are reduced to entering the required numbers into the windows (or moving the sliders to obtain 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.

Online interest calculator:

calculator.ru - allows you to perform various calculations when working with percentages;

mirurokov.ru - interest calculator;

A source of information:

• nsovetnik.ru - article on how to calculate the percentage of the amount;