$Percentage Calculator$

Percentage Calculator

The percentage calculator finds a percentage of a number, adds and subtracts percentages, finds 100%, calculates the percentage ratio of two numbers and other operations with percentages.

What is the percentage of a number

What percent one number is of another

Add a percentage to a number

Subtract a percentage from a number

from

By what percent one number is greater than another

By what percent one number is less than another

Find 100 percent if

The percentage calculator finds a percentage of a number, adds and subtracts percentages, finds 100%, calculates the percentage ratio of two numbers and performs other operations with percentages.

For every calculation the calculator gives a fast and accurate answer, shows the formula and all intermediate steps, and a detailed answer.

Percent is a way of splitting a whole into parts. Percentages are written with the % sign and are most often measured from 0% to 100%.

100% is always the original whole. For example, a whole new pizza is 100%.
0% is nothing. For example, the whole pizza was eaten and 0% is left.
Then 50% is half. For example, half of the pizza.

School math usually treats percentages as whole numbers, but like any other numbers, percentages can be fractional. For example, 1.5% is one and a half percent, and 0.5% is five tenths of a percent.

We need percentage operations all the time in everyday life, so it is important to understand them well. Our percentage calculator will help you with that.

Examples of percentage calculations:

Find a percentage of a number

To find a percentage of a number, multiply them and divide the result by 100%.

Example
Find 10% of 50:
$\frac{10 % \cdot 50}{100 %} = 5$
Answer: 10% of 50 = 5

What percent one number is of another

To find the percentage ratio of two numbers, divide one number by the other and multiply the result by 100%.

Example
Find what percent 24 is of 200.
$\frac{24}{200} \cdot 100 % = 12 %$

Add a percentage to a number

To add a percentage to a number, multiply the number by a coefficient calculated with the following formula:

Example
The number 25 increased by 10%. Find the new number.
$\frac{100 % + 10 %}{100 %} \cdot 25 = 1.1 \cdot 25 = 27.5$
Answer: 25 + 10% = 27.5

Subtract a percentage from a number

To subtract a percentage from a number, multiply the number by a coefficient calculated with the following formula:

Example
The number 50 decreased by 10%. Find the new number.
$\frac{100 % - 10 %}{100 %} \cdot 50 = 0.9 \cdot 50 = 45$
Answer: 50 - 10% = 45

By what percent one number is greater than another

To find by what percent one number is greater than another, divide the larger number by the smaller one, multiply the result by 100% and subtract 100%.

Example:
Find by what percent 20 is greater than 10.
$\frac{20}{10} \cdot 100 % - 100 % = 200 % - 100 % = 100 %$
Answer: 20 is greater than 10 by 100%

By what percent one number is less than another

To find by what percent one number is less than another, subtract the ratio of the smaller number to the larger one, multiplied by 100%, from 100%.

Example:
Find by what percent 5 is less than 20.
$100 % - \frac{5}{20} \cdot 100 % = 100 % - 25 % = 75 %$
Answer: 5 is less than 20 by 75%

Find 100 percent

The calculator finds 100% when a number and its percentage are known.

Example:
Find 100% if 25 is 20%.
$\frac{25}{20 %} \cdot 100 % = 1.25 \cdot 100 = 125$
Answer: if 25 is 20%, then 100% is 125