Percentage Calculator

Percentage Calculator 

Percentage calculator is used to find the percentage of various types. This percentage calculator uses the formula of percentage to evaluate the result.

What is the percentage?

A relative value representing the 100th part of any quantity is said to be the percentage. Ten percent is denoted as 10% and is the 10th part of 100. Hence, 100% denotes the whole of the given quantity.

Percentage formula

Percentage (%) = (part / whole) x 100

Types of percentage

There are various types of percentages used to find the 100th part of any type of quantity.

1. What is % of?
2. Is what % of?
3. Is % of what?
4. Out of what is %?
5. What is % of is?
6. % of what is?
7. % of is what?
8. Out of what is %?
9. What out of is %?

Note 

Remember how to convert percentage to decimal and decimal to percentage.

Percentage to decimal

Divide by 100 to remove the “%” sign. For example, 12% = 12/100.

Decimal to percentage

To add a percentage sign, multiply the number by 100. For example, 0.59 * 100 = 59%

How to solve the problems of percentage?

There are 9 different kinds of percentages to find the percentage or number. Follow the below examples to learn all the kinds of percentages. 

1. What is % of?

Percentage (P%) * U = V

Example 

What is 20% of 280?

Solution 

Step 1: Write the given problem according to the formula.

20% * 280 = V

Step 2: Convert the percentage into a fraction by taking 100 in the denominator.

20/100 * 280 = V

0.20 * 280 = V

Step 3: Multiply both terms.

56 = V

Hence, the 20% of 280 is 56.

2. Is what % of?

Percentage (P%) = V/U

The result will come in decimals, you have to multiply the decimal by 100 to get the percentage form.

Example

What percent of 200 is 30?

Solution

Step 1: Write the given problem according to the formula.

Percentage (P%) = 30/200

Step 2: Convert the fraction into a decimal.

Percentage (P%) = 0.15

Step 3: Now multiply the decimal by 100 to get the percentage.

Percentage (P%) = 0.15 x 100

Percentage (P%) = 15%

3. Is % of what?

U = V/P%

Example 

45 is 30% of what number?

Solution 

Step 1: Write the given problem according to the formula.

V = 45

P% = 30

U = 45/30%

Step 2: Convert the percentage into a fraction by dividing it by 100.

U = 45/(30/100)

U = 45/0.3

Step 3: Divide the above expression.

U = 45/0.3 = 150

Hence, 45 is 30% of 150.

4. Out of what is %?

P% = V/U

Example 

What percent of 340 is 60?

Solution 

Step 1: Write it according to the formula P% = V/U.

P% = 60/340

Step 2: Divide the above term to convert the fraction into a decimal.

P% = 0.1765

Step 3: Now multiply the decimal by 100 to get the percentage.

P% = 0.1765 * 100

P% = 17.65%

Hence, 60 out of 340 is 17.65%.

5. What is % of is?

P% = V/U

Example 

30 of what is 40%?

Step 1: Write the terms according to the formula.

P% = 40%

V = 30

U =?

P% = V/U

40% = 30/U

U = 30/40%

Step 2: Convert the percentage into a decimal.

U = 30/(40/100)

U = 30/0.4

Step 3: Divide the above expression.

U = 75

Hence, 30 of 75 is 40%.

6. % of what is?

U = V/P%

Example 

35% of what is 12?

Solution

Step 1: Write the terms according to the formula.

P% = 35%

V = 12

U =?

P% = V/U

35% = 12/U

U = 12/35%

Step 2: Convert the percentage into a decimal.

U = 12/(35/100)

U = 12/0.35

Step 3: Divide the above expression.

U = 34.29

Hence, 35% of 34.29 is 12.

7. % of is what?

V = P% * U

Example 

26% of 376 is what?

Solution 

Step 1: Write the terms according to the formula.

P% = 26%

U = 376

V =?

V = P% * U

V = 26% * 376

Step 2: Convert the percentage into a fraction.

V = 26/100 * 376

Step 3: Convert the fraction into a decimal.

V = 0.26 * 376

Step 4: Now multiply the above expression.

V = 97.76

Hence, 26% of 376 is 97.76

8. What out of is %?

V = P% * U

Example 

What out of 450 is 63%?

Solution 

Step 1: Write the terms according to the formula.

P% = 63%

U = 450

V =?

V = P% * U

V = 63% * 450

Step 2: Convert the percentage into a fraction.

V = 63/100 * 450

Step 3: Convert the fraction into a decimal.

V = 0.63 * 450

Step 4: Now multiply the above expression.

V = 283.5

Hence, 283 out of 450 is 63%.

9. What is % of out of?

P% = V/U

Example

What is % of 245 out of 678?

Solution 

Step 1: Write the terms according to the formula.

P% =?

U = 678

V =245

P% = V/U

P% = 245/678

Step 2: Convert the fraction into a decimal.

P% = 0.3614

Step 3: Now multiply the decimal by 100 to get the percentage.

P% = 0.3614 * 100

P% = 36.14%

Hence, 36.14% is the percent of 245 out of 678.