How to find out percentages of a number. Interest calculator

% of ?

what is this % of ?

This % of how much?

(Rise / Fall) from before ?

How to find the percentage of a number? How to calculate the percentage of the amount?

To find, for example, 5% of the number 123, you need to: multiply 5 by 123 and divide by 100.

How to calculate your body fat percentage?

There are many methods for determining the amount of fat in the human body. For these purposes, there are online diet percentage calculators that calculate Body Mass Index (BMI). To implement this method, which determines the percentage of body fat in a woman or man, body parameters such as height, weight and circumference are needed.

Calculating percentage formula

Interest calculator by deposit. Deposits are profitable storage of cash savings. To increase their liquidity and increase cash turnover, banks attract legal entities and individuals to place their cash savings in a deposit account. And since at the moment there are a huge number of banks, considerable competition is formed, in which each bank tries to attract customers using different methods. Some banking institutions offer an increased interest rate, others - monthly interest payments, and still others - the possibility of replenishment. Taking into account these manipulations, deposits can be classified into several types:

  • time deposits;
  • demand deposits;
  • savings deposits.

Time deposits - Deposit interest calculator

A time deposit in a bank means a bank deposit issued for a specified period, for example, 1 year. Having placed savings on such a deposit, the owner will not be able to partially or completely withdraw them from his personal account. Of course, it is possible to close a time deposit, but this will violate the terms of the agreement, which will result in penalties being assessed by the bank. They may consist in not accruing interest on the deposit or in accruing interest at the lowest rate. Also, in some banking institutions, in order to withdraw a deposit early, you must wait a certain period. For example, after writing an application to close a deposit, the client will be able to pick it up only after a week. In most cases, time deposits cannot be replenished either. As for interest rates, in this case they are the maximum.

Demand deposits - interest calculator

Keeping cash savings on demand deposit is advantageous because they can be replenished and withdrawn (in whole or in part) at any time. Sometimes such a deposit is also called a deposit with free use. Banks charge a lower interest rate on it, because in this case they cannot have the entire amount of money invested.

Savings deposits.

Savings deposits are banking services offered by the bank that involve opening a deposit for a set period of time with the possibility of replenishment. Thanks to the possibility of replenishing invested cash savings, the owner of a personal account will be able to preserve and increase personal funds.

Before investing your savings, you need to carefully familiarize yourself with what banking services banks offer. Calculate the amounts on the deposit interest calculator. And only after that, having chosen the most favorable conditions, you can open a deposit agreement.

A percentage is one hundredth of something. From the definition it follows that anything whole is taken as 100 percent. The percentage is indicated by the "%" sign.

How to solve problems in which you need to calculate percentages of a number? The percentage of a number can be calculated either by a formula or on a calculator.

  • Example task: The price of a basket of apples is 160 rubles. The price of a basket of plums is 20% more expensive. How many rubles is more expensive than a basket of plums?
  • Solution: In this task, we are required to do nothing more than find out how many rubles are 20% percent of the number 160.

Formula for calculating percentage:

1 way

Since 160 rubles is 100%, we first find out what 1% will be equal to. And then multiply this number by the 20% we need.

  • 160 / 100 * 20 = 1,6 * 20 = 32

Answer: a basket of plums is 32 rubles more expensive.

Method 2

The second method is a modified version of the first method. Let's multiply the number that is 100% by a decimal fraction. This fraction is obtained by dividing the number of percentages that need to be found by 100. In our case:

  • 20% / 100 = 0,2

We multiply 160 by 0.2 and get the same answer 32.

3 way

Method 3 - proportion.

Let's make a proportion of the form:

  • x = 20%
  • 160 = 100%

We multiply the parts of the proportion cross by cross and get the equation:

  • x = (160 * 20) / 100
  • x = 32

Calculating percentage of a number on a calculator

In order to calculate 20% of the number 160 on a calculator, you need:

  1. First, dial the number 160 on the screen - that is, our 100%
  2. Then press the multiply button "*"
  3. We will multiply by the number of percents that need to be found, that is, by 20. Press 20
  4. Now press the % key
  5. The answer should appear on the screen: 32

Read more about interest calculation algorithms in the article

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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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It may be useful not only for high school students. In everyday life, this skill is necessary in order to calculate the loan payment, calculate and check whether the accountants correctly calculated the amount of taxation for you when you receive your salary. And for many employees of various companies and enterprises, this skill is simply necessary for work.

What is this - percentage? From the school curriculum, everyone remembers that a percentage in the world is considered to be a hundredth part of something. That is, to put it another way, the expression “3 percent” should be understood as 3 hundredths of any number. For the sake of brevity, people have adopted the symbol "%" for the word "percentage".

And from school, we all know how to calculate the percentage of divided by one hundred, finding the value of one percent, and then the resulting quotient is multiplied by a number indicating the number of percents that need to be found.

For example, you need to find out what 28% of 500 is. The line of reasoning should be as follows:

  1. Find the size of 1% of 500 by division.
  1. We find the given number by multiplying the resulting quotient from division by 100.

That is, 28% of 500 is 28/100 of 500. Another way to write this action is:

500 X 28/100 = 140.

Since numbers are not always easy to remember, and pen and paper are not always at hand, many people today use calculators.

To calculate, you can use the described method: divide the given number by one hundred and multiply by the required number of percent.

There is a faster calculation option:

  1. The specified number is entered into the calculator. In our case - 500.
  2. Next, press the “multiply” key.
  3. Then we type the number of the required percentages - for our version it is 28.
  4. Instead of equality, select the % sign on the calculator.
  5. We get the result - this is 140 in our example.
  1. In the cell that displays the calculated percentage, enter the equal sign “=”.
  2. Next, write down a given number from which you need to look for a percentage, or the “address” of the cell where this number has already been entered. In our example we will enter the number 500.
  3. The third step will be to set the “multiply” or “*” sign.
  4. Now you should write down the number that reflects the amount of interest you are looking for. For us it's 28.
  5. The penultimate action will be to enter the “percentage” sign, which looks like “%”.
  6. To get the result, all you have to do is press the “Enter” button on your keyboard. The result - 140 - will immediately appear on the monitor.

Before starting to work in Excel, you should left-click to set the appropriate format in the table cells or use the “menu” function: “format - cells - number - percentage”.

For example, we are given the numbers 140 and 500. The question is posed this way: what percentage is 140 of 500?

  1. First, let's find what one percent of 500 is equal to. That is, we follow the old scheme and divide 500 by 100. We get 5.
  2. Now it remains to find out how many such percentages the given number 140 contains. To do this, 140 must be divided by 5. We get the same 28 percent!
  3. This calculation can be written in one formula as follows:

140: (500: 100) = 140: 500/100 = 140: 500 X 100 = 28.

That is, the number 140 out of 500 is 28 percent.

And in order to find out what percentage one number is of another, we should divide the smaller number by the larger one and multiply the quotient by 100.

These skills are extremely important for an entrepreneur who is engaged in trading. When setting prices for a product, it usually requires the ability to calculate the percentage of a number, since with the help of this action the necessary “markup” on the product is made. It is most convenient to mark up the entire assortment at the same percentage, for example, 15%.

But calculating net income requires another skill. For example, the daily revenue at the stall was 3,450 rubles. What is the net income from goods sold? Some novice entrepreneurs naively calculate 15% of gross revenue, and make a grave mistake! Having removed the “cheating” obtained in such an incorrect way from circulation, they then sit and puzzle over where the shortage came from.

And everything is very simple. After markup, the product began to contain not 100% of the cost, but 100% + 15% = 115%. Therefore, to find the amount of added value generated, 15% is calculated as follows:

  1. They find 1% of the revenue by dividing it not by 100, but by 115. That is, in our case
  1. And now you can look for added value, which you can bravely extract from circulation.

These numbers are taken out of thin air, so you should not take these data seriously. But the calculation methods themselves deserve attention; there are no errors in them.

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.