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Everyday Math · Calculator 007

Percentage Difference Calculator

Compare two values without treating either one as the starting point. The difference is measured against the average of the two, so swapping the inputs returns the same answer.

Calculation, not advice. Results are illustrative and depend entirely on the values entered.

Reviewed by the LikeOptions Editorial Team · Methodology in how the calculation works below

Worked exampleComparing 40 and 60 gives an absolute difference of 20 against a mean of 50, which is a 40% difference. The same pair measured as a percentage change from 40 to 60 is a 50% increase, because the base is different.

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Enter percentage difference calculator assumptions

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Percentage Difference Calculator estimate

Illustrative

Percentage difference

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Based on the assumptions entered

Relative magnitude of displayed valuesNegative values use absolute height

Important: This simplified estimate may exclude taxes, fees, timing differences, changing rates and other real-world conditions.

The concept

Percentage difference versus percentage change

Percentage difference compares two values that sit side by side, with neither one acting as the baseline. Because the denominator is their average, entering the values in either order gives the same result.

Percentage change is directional: it measures how far a value moved from a known starting point, so the original value is the denominator and reversing the inputs produces a different number. Use change when there is a clear before and after, and difference when there is not.

The method

How to calculate percentage difference

The absolute difference between the two values is divided by the mean of their magnitudes, then multiplied by 100. If both values are zero the mean is zero and the result is undefined.

Difference % = |a − b| ÷ ((|a| + |b|) / 2) × 100

The absolute difference is divided by the mean of the two magnitudes, which keeps the result symmetric.

Worked example

Percentage Difference Calculator example

Comparing 40 and 60 gives an absolute difference of 20 against a mean of 50, which is a 40% difference. The same pair measured as a percentage change from 40 to 60 is a 50% increase, because the base is different.

This example explains the method. It does not recommend a financial action or predict an outcome.

Frequently asked

Percentage Difference Calculator questions

Why does percentage difference give a smaller number than percentage change?

The average of the two values is usually larger than the smaller value, so dividing by the average produces a smaller percentage.

Does the order of the two values matter?

No. Percentage difference is symmetric; 40 against 60 and 60 against 40 both return 40%.

Can percentage difference be negative?

No. It measures the size of a gap, not a direction. Use the percentage change calculator when direction matters.

What happens when one value is zero?

The result is still defined as long as the other value is non-zero, and it will be 200% — the standard consequence of a mean-based denominator.