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Percentage Difference Calculator

Percentage Difference Formula:

\[ \text{Percentage Difference} = \frac{|Value1 - Value2|}{\frac{(Value1 + Value2)}{2}} \times 100 \]

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1. What is a Percentage Difference Calculator?

Definition: This calculator measures the relative difference between two values as a percentage of their average.

Purpose: It helps compare two values to understand how much they differ relative to their average magnitude.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage Difference} = \frac{|Value1 - Value2|}{\frac{(Value1 + Value2)}{2}} \times 100 \]

Where:

Explanation: The absolute difference between the values is divided by their average, then multiplied by 100 to get a percentage.

3. Importance of Percentage Difference

Details: This calculation is useful in comparing measurements, experimental results, price changes, and any scenario where relative difference matters more than absolute difference.

4. Using the Calculator

Tips: Enter any two numerical values. The calculator will show how much they differ as a percentage of their average. Both values cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage change?
A: Percentage change compares a new value to an old one, while percentage difference compares any two values symmetrically.

Q2: What does a 0% difference mean?
A: It means the two values are identical.

Q3: What's the maximum possible percentage difference?
A: When comparing any value with zero, the difference approaches 200%. Otherwise, the maximum is 200% when one value is positive and the other is its negative equivalent.

Q4: Can I compare negative numbers?
A: Yes, the calculator works with both positive and negative values.

Q5: When would I use this calculation?
A: Common uses include comparing experimental results, price differences, performance metrics, or any two measurements where relative difference is important.

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