# Percent Difference Calculator

Percent Difference Calculator is an online tool that helps to calculate the percentage difference of any two numbers. The absolute value of the ratio of the difference of two numbers to their average expressed as a percentage is called percent difference.

## What is a Percent Difference Calculator?

Percent Difference Calculator helps you to calculate the relative difference between two numbers and express the result as a percentage. Percent difference is used to represent the relative change in two quantities in the form of percentages. To use the * percent difference calculator* enter the values in the input boxes.

### Percent Difference Calculator

## How to Use Percent Difference Calculator?

Please follow the steps given below to find the percentage difference using the percent difference calculator:

**Step 1**: Use Cuemath's online percent difference calculator.**Step 2:**Enter the initial value and final value in the input boxes.**Step 3**: Click on "**Calculate**" to find the percentage difference.**Step 4**: Click on "**Reset**" to clear the fields and enter new values.

## How Does Percent Difference Calculator Work?

Suppose the initial and final values of a quantity are given. Then steps to calculate the percentage difference are as follows:

- Subtract the final value from the initial value.
- Take the average of the two values. Average can be calculated as the sum of the observations divided by the total number of observations.
- Divide the difference obtained in step 1 by the average from step 2.
- We then take the absolute value of the number obtained in step 3. Taking the absolute value of a number implies that we are removing the negative sign of the number. Thus, the absolute value will always be a positive quantity. The absolute value of a quantity, say x, is represented as |x|.
- The value obtained in step 4 is then multiplied by 100 to get the result as a percentage.

The formula for the percentage difference is given below:

Percentage Difference = \(\left | \frac{Initial Value - Final Value}{\frac{Initial Value + Final Value}{2}} \right |\times 100\)

## Solved Examples on Percent Difference

**Example 1:** Find the percent difference if the given values are 100 and 200. Verify it using the online percent difference calculator.

**Solution:**

Given: Intial value(a) = 100, final value(b) = 200

Percent Difference = |Difference / Average| × 100%

= |(a − b) / ((a + b)/2)| × 100%

= |(100 − 200) / ((100 + 200)/2)| × 100%

= |-100 / 150| × 100%

= |-0.666| × 100%

= 0.666 × 100%

= 66.666%

Therefore, the percent difference of the two values = 66.666%.

**Example 2:** Find the percent difference if the given values are 300 and 148. Verify it using the online percent difference calculator.

**Solution: **

Given: Intial value(a) = 300, final value(b) = 148

Percent Difference = |Difference / Average| × 100%

= |(a − b) / ((a + b)/2)| × 100%

= |(300 − 148) / ((300 + 148)/2)| × 100%

= |152 / 224| × 100%

= 0.678 × 100%

= 67.8%

Therefore, the percent difference of the two values = 67.8%

Similarly, you can try the percent difference calculator to find the percent difference for the following values.

- Initial value = 80, Final value = 280
- Initial value = 220, Final value = 120

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