# Percentage Calculator

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## Percentage calculations

#### Percentage of a value calculation

What is 20% of \$60?

20% is mutiplied by \$60:

20% × \$60 = (20/100) × \$60 = 0.2 × \$60 = \$12

#### Percentage calculation

\$12 is what percent of \$60?

\$12 is divided by \$60 and multiplied by 100%:

(\$12 / \$60) × 100% = 20%

#### Whole value calculation

\$12 is 20% of what?

\$12 is divided by 20%:

\$12 / 20% = (\$12 / 20) × 100 = \$60

#### Percentage change calculation

What is the percentage change from \$40 to \$50?

The difference between \$50 and \$40 is divided by \$40 and multiplied by 100%:

[(\$50 - \$40) / \$40] × 100% = 0.25 × 100% = 25%

### Percentage Calculator

Percentage calculator is a tool that lets you do a simple calculation: what percent of X is Y? The tool is pretty straightforward. All you need to do is fill in two fields, and the third one will be calculated for you automatically. This method will allow you to answer the question of how to find a percentage of two numbers.

Percentage definition

A percentage (%) is a fraction expressed as a part of one hundred, instead of any other denominator. The word comes from the Latin per cent, meaning ‘out of one hundred’.

In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction 35/100.

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

1. Find P percent of X

2. Find what percent of X is Y

3. Find X if P percent of it is Y

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

1. Convert the problem to an equation using the percentage formula: P% * X = Y

2. P is 10%, X is 150, so the equation is 10% * 150 = Y

3. Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

4. Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

5. Do the math: 0.10 * 150 = 15

6. Y = 15

7 So 10% of 150 is 15

Check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

1. Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

2. Do the math: 12/60 = 0.20

The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

3. Converting 0.20 to a percent: 0.20 * 100 = 20%

4. So 20% of 60 is 12.

Check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%