# Percentage difference calculator

Here are the step-by-step instructions to use a percentage difference calculator:

1. Determine the two values: The first step is to determine the two values for which you want to calculate the percentage difference. For example, if you want to calculate the percentage difference between 50 and 75, these are the two values you need.
2. Calculate the difference between the two values: Subtract the smaller value from the larger value to find the difference. For example, if you are comparing 50 and 75, the difference is 75 – 50 = 25.
3. Determine the average of the two values: Add the two values together and divide by 2 to find the average. For example, if you are comparing 50 and 75, the average is (50 + 75) / 2 = 62.5.
4. Divide the difference by the average: Divide the difference you calculated in step 2 by the average you calculated in step 3. For example, if you are comparing 50 and 75, the calculation is 25 / 62.5 = 0.4.
5. Multiply the result by 100: Multiply the result you obtained in step 4 by 100 to get the percentage difference. For example, if you are comparing 50 and 75, the percentage difference is 0.4 x 100 = 40%.
6. Interpret the result: The result of the calculation is the percentage difference between the two values. In the example above, the result of 40% indicates that the second value (75) is 40% higher than the first value (50).

Using a percentage difference calculator can be useful in many situations, such as comparing prices of products or measuring differences in performance over time.

### The formula to calculate percentage difference between two values is:

Percentage Difference = |(New Value – Old Value) / ((New Value + Old Value) / 2)| x 100%

Where:

• “New Value” is the value after the change
• “Old Value” is the value before the change
• The absolute value (represented by the “|” symbol) is used to ensure the result is positive
• The denominator calculates the average value of the two values

For example, if the old value is 50 and the new value is 75, the percentage difference can be calculated as follows:

Percentage Difference = |(75 – 50) / ((75 + 50) / 2)| x 100% = |25 / 62.5| x 100% = 0.4 x 100% = 40%

The result of 40% indicates that the new value (75) is 40% higher than the old value (50).