Percentage Difference Calculator

How do you calculate Percentage Difference manually?

You can calculate percentage difference manually when you want to compare two values without treating either value as the starting point or reference value. The calculation uses the absolute difference between the numbers and divides it by their average.

Formula

Use the percentage difference formula:

Where:

• $V_1$ = first value
• $V_2$ = second value
• $|V_1-V_2|$ = absolute difference
• $(V_1+V_2)/2$ = average of the two values

Step by step guide

1. Subtract the two values and use the absolute value: $|V_1-V_2|$
2. Add both values and divide by $2$ to find their average: $\frac{V_1+V_2}{2}$
3. Divide the absolute difference by the average value.
4. Multiply the result by $100$ to express the relative difference as a percentage. Practical Example

Suppose two store prices are $80 and$100.

First, calculate the absolute difference:

$|80-100|=20$

Next, calculate the average:

$\frac{80+100}{2}=90$

Now divide the difference by the average and multiply by $100$:

$\frac{20}{90}\times100=22.22$

The percentage difference between $80 and$100 is approximately |V_1-V_2|, so reversing the numbers does not change the result.

Average Value

Average value provides a neutral comparison base. Add the first and second values, then divide by $2$ to find their midpoint.