Last updated: June 06, 2026
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Percentage Difference Calculator

Calculate the percentage difference between two numbers (non-directional) or the percentage change from one value to another (directional). Choose the mode that fits your question.

Alpha Calculators Team

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Alpha Calculators Team

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Percentage Difference Calculator

Enter your values and the result updates automatically.

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Overview

Calculator overview

This calculator offers two modes. Use percentage difference when you want a symmetric comparison with no implied direction — for example, comparing the size of two companies or the prices of two products. Use percentage change when one value is a starting point and the other is a result, such as comparing this year's revenue to last year's.

Calculator with financial documents for comparing values and percentage differences

How to Use This Calculator

  1. 1

    Choose "% difference" for a symmetric comparison, or "% change" when the order V1 → V2 has meaning.

  2. 2

    Enter the first value in V1.

  3. 3

    Enter the second value in V2.

  4. 4

    Read the result and the raw difference below.

What Is Percentage Difference?

Percentage difference is a non-directional measure that compares two numbers without implying that one comes before the other. It answers "how different are these two values?" rather than "by how much did this value change?"

Because there is no inherent starting point, percentage difference uses the average of the two values as the reference. Swapping V1 and V2 produces the same result.

Example: company C has 93 employees and company B has 117. The percentage difference is |93 − 117| / ((93 + 117) / 2) × 100 = 24 / 105 × 100 ≈ 22.86%. It does not matter which company is listed first.

Percentage Difference Formula

The denominator is the average (midpoint) of the two values. The absolute value in the numerator makes the result always non-negative.

% difference = 100 × |V1 − V2| ÷ ((V1 + V2) / 2)

Percentage Change Formula

V1 is the reference (starting) value. The result is signed — positive means an increase, negative means a decrease.

% change = 100 × (V2 − V1) ÷ |V1|

Percentage Difference vs. Percentage Change

Property Percentage difference Percentage change
Direction Non-directional Directional (V1 → V2)
Reference point Average of V1 and V2 V1 only
Swapping V1 and V2 Same result Opposite sign
Sign in result Always positive Positive = increase negative = decrease
Best use Comparing two unordered values Before-and-after or time-series comparisons

Worked Example — Percentage Difference

Comparing 70 and 85:

Step 1 — absolute difference: |70 − 85| = 15

Step 2 — average: (70 + 85) / 2 = 77.5

Step 3 — divide: 15 / 77.5 ≈ 0.19355

Step 4 — multiply: 0.19355 × 100 ≈ 19.355%

The percentage difference between 70 and 85 is approximately 19.355%.

When to Use Percentage Difference vs. Percentage Change

Use percentage difference when neither value is the reference. Comparing prices of two competing products, test scores of two students, or employees at two companies — the comparison has no direction and no natural starting point.

Use percentage change when one value is the starting point and the other is the result. Revenue this year versus last year, a population now versus ten years ago, or a stock price before and after an announcement — these comparisons have a clear direction.

Confusing the two is one of the most common ways statistics mislead. A shift in unemployment from 10% to 4% can be described as a 6 percentage-point decrease, a 60% decrease, or an 85% percentage difference — all technically correct, yet they create very different impressions.

Unemployment Example — Same Data, Different Framings

Description Value Type
Unemployment 2010 10% Raw data
Unemployment 2018 4% Raw data
Arithmetic difference 10 − 4 = 6 pp Percentage points
Percentage decrease (10 − 4) / 10 × 100 = 60% Percentage change
Percentage difference |10 − 4| / 7 × 100 ≈ 85.7% Percentage difference

The percentage difference calculator compares two numbers using either the percentage difference formula (non-directional, uses the average as the reference) or the percentage change formula (directional, uses V1 as the reference). Choose the mode that matches your question.

FAQ

Frequently asked questions

What is the difference between percentage difference and percentage change?
Percentage difference is non-directional — it uses the average of the two values as the reference point, so swapping V1 and V2 gives the same result. Percentage change is directional — it uses V1 as the reference, so the order matters and the result has a sign.
What is the percentage difference formula?
% difference = 100 × |V1 − V2| ÷ ((V1 + V2) / 2). The denominator is the average of the two values.
What is the percentage difference between 20 and 30?
40%. Step 1: |20 − 30| = 10. Step 2: (20 + 30) / 2 = 25. Step 3: 10 / 25 × 100 = 40%.
What is the percentage difference between 70 and 85?
About 19.355%. Step 1: |70 − 85| = 15. Step 2: (70 + 85) / 2 = 77.5. Step 3: 15 / 77.5 × 100 ≈ 19.355%.
When is the percentage difference equal to 100%?
When one number is exactly three times the other. For example, 10 and 30, |10 − 30| = 20, average = 20, 20 / 20 × 100 = 100%.
Can the percentage difference be greater than 100%?
Yes. If one value is much larger than the other, the difference can exceed the average, making the percentage difference greater than 100%. This is a sign that the two numbers are too far apart for a meaningful comparison.
Is percentage difference the same as percent error?
No. Percent error compares an observed value to a known true value — the true value is the reference. Percentage difference has no known reference, so it uses the average instead.
Can I use percentage difference for values measured over time?
Technically yes, but percentage change is usually a better fit for before-and-after comparisons because it treats the earlier value as the starting point and shows the direction of the change.