# Percentage Calculator

What is X Percent of Y?

of:

X is What Percent of Y?

% of:

What is The % Increase or Decrease?

to:

X is Y% of what Number?

is:

Round (decimal places):

## Overview

This percentage calculator is useful for determining 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

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