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Calculator Soup Percent Difference

Percentage Difference Formula:

\[ \text{Percentage Difference} = \frac{|V1 - V2|}{\frac{V1 + V2}{2}} \times 100 \]

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1. What is Percentage Difference?

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

Purpose: It's used to compare two values where neither is clearly a reference or "correct" value.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage Difference} = \frac{|V1 - V2|}{\frac{V1 + V2}{2}} \times 100 \]

Where:

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

3. When to Use Percentage Difference

Details: Use when comparing:

4. Using the Calculator

Tips: Enter any two numerical values. The calculator will show their percentage difference. Both values cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage change?
A: Percentage change compares to an original value, while percentage difference compares two values symmetrically.

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

Q3: Can I compare negative numbers?
A: Yes, the calculator handles negative values correctly.

Q4: What's the maximum possible percentage difference?
A: When comparing any number with zero, the percentage difference approaches 200%.

Q5: When would I use this in real life?
A: Useful for comparing prices, test scores, experimental results, or any two measurements where you want to know their relative difference.

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