Percent Difference Calculator

Calculate Percent Difference

Enter two numbers below to calculate the percentage difference between them. We'll show you the result and provide step-by-step solutions.

Please enter a valid number for Value 1.
Please enter a valid number for Value 2.

How to Calculate Percent Difference

Percent difference is a measure of the relative difference between two values, expressed as a percentage of their average. It's commonly used in various fields, including science, finance, and statistics, to compare two quantities while taking into account their relative magnitudes.

Percent Difference Formula

The formula to calculate percent difference is:

\[ Percent Difference = \frac{|Value 1 - Value 2|}{\frac{Value 1 + Value 2}{2}} \times 100\% \]

Where:

  • |Value 1 - Value 2| is the absolute difference between the two values
  • (Value 1 + Value 2) / 2 is the average of the two values

Calculation Steps

  1. Calculate the absolute difference between the two values.
  2. Calculate the average of the two values.
  3. Divide the absolute difference by the average.
  4. Multiply the result by 100 to convert to a percentage.

Example Calculation

Let's calculate the percent difference between 100 and 150.

Step 1: Calculate the absolute difference

Absolute Difference = |100 - 150| = 50

Step 2: Calculate the average

Average = (100 + 150) / 2 = 125

Step 3: Apply the formula

\[ Percent Difference = \frac{50}{125} \times 100\% = 0.4 \times 100\% = 40\% \]

Step 4: Interpret the result

The percent difference between 100 and 150 is 40%.

Visual Representation

Visualizing 40% Difference Between 100 and 150 Value 1: 100 Value 2: 150 Difference: 50 Step 1: |150 - 100| = 50 (Absolute Difference) Step 2: (150 + 100) ÷ 2 = 125 (Average) Step 3: (50 ÷ 125) × 100% = 40% (Percent Difference) 0 50 100 150

This diagram illustrates the 40% difference between the values 100 and 150, showing their relative sizes and the gap between them.

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