Good day, dear guests! Did you do well at school? I'm doing great, but I also have situations when I need to brush up on school knowledge.
Unfortunately, among the entire amount of information it is very difficult to single out the one that may actually be needed.
Let's remember today how to find out the percentage of a number.
Mathematics is necessary in everyday life, because it teaches you to think outside the box and develops logic. Knowledge of computational manipulations simplifies life financially.
Here are examples of using %:
- This ratio allows you to improve the perception of information in order to compare certain parameters. For example, the human body consists of 70% water, and jellyfish - 98%.
- Such calculations are also applied in economics. This is necessary, for example, for calculating profits.
- Knowledge is also necessary for the analysis of specific quantities. For example, the difference between salaries in different months.
The concept of interest
Interestingly, the Hindus as early as the 5th century used percentages in their calculations. In Europe, decimal fractions were learned only after a millennium.
This concept was introduced by the Belgian scientist Simon Stevin. In the 16th century a table of values was published.
The word itself is of Latin origin. The word is translated as "from a hundred." This means one hundredth of a value.
% provide the ability to compare parts of the same whole without difficulty. The emergence of shares made it possible to simplify calculations, and they became a standard phenomenon.
Calculation methods
In the mathematics textbook for the 5th grade, you can find out that% is a hundredth of a number. To find out how much% of a certain value, you can use the proportion and draw up the rule of the cross.
For example, you need to find 500 from 1000. In this case, the data that are located opposite each other must be multiplied and then divided by the third number.
In this case, the numbers are written under the figures, and the percentages under the same indicators.
It turns out:
1000 – 100%;
500 - x%.
We get: X=(500*100)/1000.
X=50%.
You can also use Excel.
For example, you need to find the amount that is 15% of the integer 8500.
First, create an Excel sheet on your desktop.
Then open the document and in the highlighted line type:
- = (equal to);
- then 8500;
- then press * (multiply);
- then 15;
- then press the % key and Enter.
How to calculate the percentage on the calculator
Then you need to enter the requested data in the fields and get the result. In this case, you can find out how% of the total number, and how many percent is the value of one number from another.
Summing up, we can say that the calculator allows you to decide on the following questions:
- Calculate a specific % from a specific value. Or, if % is known, then add it to some number.
- What% is from a given indicator.
- How much % contains one value from another.
On a regular calculator, there is also a function for determining%. If there is an option, then there should be a key where %.
To do this, find on his keyboard a button with the image of a percentage (%).
For example, let's find out how much 12 is from 125.
To do this, we will carry out the following manipulations:
Enter 125 on the calculator.
Click multiply (*).
Press 12.
Then click the percentage button.
In this case, the result will be displayed on the screen - 9.6%.
Thus, any other values with two numbers can be found. You can also use the calculator on your mobile phone.
In a laptop or computer, a useful program can be found through the start menu.
Calculation using formulas
So, let's look at some formulas for calculating.
The formula for calculating the percentage of a certain value.
If the number A is known and the component of the percentage B, then the percentage of A is found as follows:
B=A*P/100%.
There is a special formula for calculating the percentage. In this case, you need to find out from what value%.
If B is known, which is P percent of the number A, then the amount of A is found as follows.
A=B*100%/R.
You can also calculate the percentage of one number from another. If two values \u200b\u200bof A and B are known, then you can find out what% contains B from A. In this case, such a formula is used. P=B/A*100%.
To find out how much the number has increased compared to the original, there is also a certain formula.
If the number A is known and it is necessary to find B, which is a certain percentage greater than the number A, then the following formula is applied: B=A(1+P/100%).
There is also a formula for calculations, which is less than the original by some given percentage.
If we know the number A and it is necessary to find B, which is P% less than A, then the following calculation is applied: B=A(1-P/100%).
I hope you find the information in my article helpful. If you want to add it, then write in the comments.
Remember school knowledge and use them in everyday life. Mathematical calculations greatly simplify life.
For today I have everything. Goodbye, dear fans of my blog!
A percentage is one hundredth of a number taken as a whole. Percentages are used to indicate the ratio of a part to a whole, as well as to compare quantities.
1% = 1 100 = 0,01
The 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 a 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. So 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 is p percent, then you can find 100 percent by multiplying the number x on the 100p
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:
5 · 100
20
= 5 5 = 25
We get that the process of copying all the photos takes 25 minutes.
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 up to the right amount 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 is p percent, then you can find 100 percent by multiplying the number x on the 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:
If you long time in school andforgot how to calculate the percentage of the amount, it does not matter -we will remind you of all the nuances this easy action. Regardless of what we take as a basis: percent of the amount of income, rent, loan or the percentage of traffic to your site or store, the calculation algorithm will be the same.Let's analyze the most common and, in combination, the simplest ways to extract the required percentage of a number.
Given that today the so-called "calculating machines" are on everyone's table student, salesperson and whether accountant, as well as on any phone and computer, we do notnothing else remainshow to calculate interest on a calculator. We are not in vain at the beginning of the article they remembered the school andyour friendly (or maybe not friendly) sixth grade. Throwing away these romantic experiences, let's move on to interest calculation.
How to calculate the percentage of the amount: 1 way
Let's find required percentage by using a simple example. Let's say you needfind 25% of the amount of 1000 rubles. Solving the next example:
1000*25:100= 250
How to calculate the percentage of the amount: 2 way
This calculation is even simpler:
How to calculate the percentage of the amount: 3 way
Well, the calculation for the very lazy:
So you learned simple ways how to calculate percentages on a calculator. We are sure that you knew about them.from school, and just reminded you. Now you can apply this knowledge and easily calculate the interest on a loan or on a deposit by independently calculating the amount of interest.
To how to calculate percentage in excel
E if you have a computer or laptop with an operating system at hand Windows, you don't it will be difficult to calculate the percentage of the required amount. Let's take a simple example for this.
We need to find 8% of 358 .
- Open Excel.
- We find a free line.
- We enter data.
- We put the sign "=" and do the calculation.
- We get 28.64.
Similar to calculating on a calculator, you can enter the % sign in Excel, and this will also be correct.
Sometimes we need find out the percentage of the amount.
- For example, we have a list of employees and the amount by which they made sales. In addition, the amount of returns is known. Based on this data, we calculate the percentage of returns on goods.
- Let's calculate the percentage for the first indicator in the list - the percentage of returns of a certain Petrov.
- To begin with, we draw up a proportion, where 100% is 35682 (the amount of Petrov's sales). x% - 2023 (sum of Petrov's returns).
- We solve this proportion according to the formula known to us from school.
- Write a formula in a cell D2 and go down a little: =C2*100%/B2.
- to the cell where the result is highlighted, apply the "Percentage" format. Select cells, right clickany of them and select "Format". In the "Number" tab, select "Percentage". System a will automatically write the % sign.
7. Applying our formula to all data, we get the result.
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, you can use more in a simple 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 size. tax deduction or the amount of the fee. 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.
