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# Percentage Calculator

## Overview

Determinine the percentage increase or decrease between two numbers, and numbers as they relate to a percentage and vice versa. Common uses for this calculator include calculating taxes, statistics, investment returns or losses, and tips on a restaurant bill. More detailed breakdowns for each of these calculations are listed below.

## What is X Percent of Y

In order to explain each of these calculations in their simplest manner, we will replace X and Y with different figures and outline the steps used in making these calculations.

Replacing X and Y with different figures: What is 20% of 300?

The first step is to change the percentage into a decimal. You do this by dividing the figure by 100. So, 20% becomes 20 ÷ 100 = 0.20.

The next step is to multiply the decimal figure by the full amount. Therefore, 0.20 × 300 = 60.

This result is the answer. Therefore, 20% of 300 is 60.

In equation form, where Z is the answer, the equation is Z = (X ÷ 100) × Y.

## X is What Percent of Y

Replacing X and Y with different figures: 20 is what percent of 200?

The first step is to divide the X figure by the Y figure. So, in this case: 20 ÷ 200 = 0.10.

To convert this decimal figure into a percentage figure multiply by 100. Therefore, 0.10 × 100 = 10.

This result is the answer. Therefore, 10 is 20% of 200.

In equation form, where Z is the answer, the equation is Z = (X ÷ Y) × 100.

## What is The Percentage Increase or Decrease

Replacing X and Y with different figures: What is the percentage increase from 20 to 36?

The first step is to subtract X from Y and then divide it by X. So, in this case: (36 - 20) ÷ 20 = 0.80.

To convert this decimal figure into a percentage figure multiply it by 100. Therefore, 0.80 × 100 = 80.

This result is the answer. Therefore, the percentage increase from 20 to 36 = 80%.

In equation form, where Z is the answer, the equation is Z = (Y - X) ÷ X × 100.

## X is Y Percentage of What Number

Replacing X and Y with different figures: 4 is 10% of what number?

The first step is to change the Y percentage figure into a decimal by dividing the figure by 100. So, in this case: 10% becomes 20 ÷ 100 = 0.10.

The next step is to divide the X figure by the Y figure. Therefore, 4 ÷ 0.10 = 40.

This result is the answer. Therefore, 4 is 10% of 40.

In equation form, where Z is the answer, the equation is Z = X ÷ (Y ÷ 100).

### Disclaimer

Though every effort has been made to test this calculator, we are not to be held liable for any special, incidental, indirect or consequential damages or monetary losses of any kind arising out of or in connection with the use of any of the calculator tools and information sourced from this website. This calculator is provided as a service to you, please use at your own risk. Do not use calculations for anything where loss of life, money, property, etc could result from inaccurate calculations.

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