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  1. Home
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  3. Percent Difference Calculator

Percent Difference Calculator

Calculate percent difference between two values using the average method. Compare measurements symmetrically with step-by-step solutions.

By Joseph Orduna·Reviewed January 15, 2026·How this works
Formula:Percent Difference = |V₁ - V₂| / ((V₁ + V₂) / 2) × 100%

Percent Difference Result

Percent Difference

18.18%

Absolute Difference20.00
Mean (Average)110.00
Ratio (Larger/Smaller)1.2000

Calculate Percent Difference

First value to compare (should be positive)

Second value to compare (should be positive)

Symmetric formula: Order of values doesn't matter

Step-by-Step Solution

Step 1: Identify the values

V1 = 100, V2 = 120

Step 2: Calculate the absolute difference

|V1 - V2| = |100 - 120| = 20

Step 3: Calculate the mean (average)

(V1 + V2) / 2 = (100 + 120) / 2 = 110

Step 4: Divide difference by mean and multiply by 100

20 / 110 x 100 = 18.18%

Percent Difference = 18.18%

Quick Reference: When to Use What

ScenarioUseWhy
Price went from $50 to $60Percent ChangeClear before/after relationship
Comparing two lab measurementsPercent DifferenceNeither is the "true" value
Measured 9.8, expected 9.81Percent ErrorComparing to known/accepted value
Comparing two estimatesPercent DifferenceBoth are equally valid estimates

Percent Difference Result

Percent Difference

18.18%

Absolute Difference20.00
Mean110.00

Common Percent Difference Examples

Quick-start with common scenarios

Practice Percent Difference Problems

Test your skills with practice problems

Practice with 4 problems to test your understanding.

?How Do You Calculate Percent Difference?

Percent difference measures how different two values are relative to their average. Formula: |V1 - V2| / ((V1 + V2) / 2) x 100%. For example, comparing 10 and 14: |10 - 14| / ((10 + 14) / 2) x 100% = 4 / 12 x 100% = 33.33% difference. Unlike percent change, this is symmetric - the order doesn't matter.

What is Percent Difference?

Percent difference calculates how different two values are relative to their average, expressed as a percentage. Unlike percent change, it is symmetric - swapping the two values gives the same result. This makes it ideal for comparing two measurements where neither is considered the 'correct' or 'reference' value, such as comparing two experimental results or two competing estimates.

Key Facts About Percent Difference

  • Formula: |V1 - V2| / ((V1 + V2) / 2) x 100%
  • Always positive - no direction (symmetric)
  • Order of values does not matter
  • Both values must be positive for meaningful results
  • Different from percent change (which has direction)
  • Maximum possible difference approaches 200% as values diverge
  • Used when neither value is the "true" reference
  • Common in comparing measurements or test results

Quick Answer

Percent difference measures how different two values are relative to their average. Formula: |V1 - V2| / ((V1 + V2) / 2) x 100%. For example, comparing 10 and 14: |10 - 14| / ((10 + 14) / 2) x 100% = 4 / 12 x 100% = 33.33% difference. Unlike percent change, this is symmetric - the order doesn't matter.

Frequently Asked Questions

Percent difference measures how different two values are, relative to their average. The formula is: |V1 - V2| / ((V1 + V2) / 2) x 100%. It is always positive and symmetric, meaning the order of the values does not affect the result.

Measures how different two values are relative to their average. Formula: |V1 - V2| / mean x 100%.

Percent change measures directional change FROM an original TO a new value, using the original as the reference. Percent difference compares two values without a reference point, using their average. Use percent change when you have before/after; use percent difference when comparing two measurements.

Change: directional, uses original as reference. Difference: symmetric, uses average as reference.

Percent error compares a measured value to a known/accepted value (the "truth"). Percent difference compares two values where neither is considered "correct" - for example, comparing two experimental measurements. Error uses theoretical value as denominator; difference uses average.

Error: compares to known/true value. Difference: compares two values, neither is "correct."

The formula works best with positive values because the mean (average) is used as the reference. If values have opposite signs, the mean could be zero or very small, leading to extremely large or undefined percent differences. The formula is designed for comparing magnitudes.

Mean could be zero or small with mixed signs, causing undefined or misleading results.

The percent difference approaches 200% as one value approaches zero while the other remains positive. For example, comparing 0.001 and 100: the difference is large relative to the mean. If both values are identical, percent difference is 0%.

Approaches 200% as values become extremely different. Minimum is 0% when values are equal.

Last updated: 2025-01-15

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How this works

Formulas follow standard definitions from the NIST Digital Library of Mathematical Functions and classical textbook derivations. Calculations run entirely in your browser. Where a closed-form solution exists, it is used; where an iterative or numerical method is required, the implementation is named on the page.

Sources

  1. [1]
    NIST Digital Library of Mathematical Functions
    Academic·dlmf.nist.gov·Accessed Apr 21, 2026
Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

Full bioLinkedIn

Percent Difference Result

Percent Difference

18.18%

Absolute Difference20.00
Mean (Average)110.00
Ratio (Larger/Smaller)1.2000