Percent Difference Calculator
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What is Percent Difference?
Percent difference measures the relative difference between two values as a percentage of their average. Unlike percent change, percent difference treats both values equally without considering one as the reference point. This calculation is essential for comparing two numbers when neither is considered the standard or original value.
Percent Difference Formula
Percent Difference = (Value 1 - Value 2) ÷ [(Value 1 + Value 2) ÷ 2] × 100%
Where:
- |Value 1 - Value 2| is the absolute difference
- (Value 1 + Value 2) ÷ 2 is the average of the two values
How to Calculate Percent Difference
- Find the absolute difference between the two values
- Calculate the average of the two values
- Divide the difference by the average
- Multiply by 100 to get the percentage
Examples of Percent Difference Calculations
Scientific Measurements
Value 1: 85 grams
Value 2: 95 grams
Percent Difference = |85 - 95| ÷ [(85 + 95) ÷ 2] × 100 = 11.1%
Price Comparison
Store A Price: $45
Store B Price: $55
Percent Difference = |45 - 55| ÷ [(45 + 55) ÷ 2] × 100 = 20%
When to Use Percent Difference
Use percent difference when:
- Comparing two measurements
- Neither value is considered "correct" or "original"
- Looking for relative variations
- Analyzing experimental results
- Comparing prices or rates
FAQ About Percent Difference
What's the difference between percent difference and percent change?
Percent difference compares two values equally using their average, while percent change uses one value as the reference point.
Can percent difference be negative?
No, percent difference is always positive because it uses absolute value in the calculation.
Why use the average in the denominator?
Using the average provides a fair comparison when neither value is considered the standard or original value.