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Percentage Change Calculator

Percentage Change Formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

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1. What is a Percentage Change Calculator?

Definition: This calculator determines the percentage increase or decrease between two values.

Purpose: It helps analyze growth, decline, or change in various contexts like finance, statistics, and business metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Where:

Explanation: The difference between new and old values is divided by the old value, then multiplied by 100 to get a percentage.

3. Importance of Percentage Change Calculation

Details: Percentage change helps compare relative growth or decline across different scales, making it essential for financial analysis, performance tracking, and data interpretation.

4. Using the Calculator

Tips: Enter the old value and new value. The calculator will show the percentage increase (positive result) or decrease (negative result).

5. Frequently Asked Questions (FAQ)

Q1: What does a negative percentage change mean?
A: A negative result indicates a decrease from the old value to the new value.

Q2: What if my old value is zero?
A: Percentage change is undefined when the old value is zero (division by zero error).

Q3: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.

Q4: Can I calculate reverse percentage change?
A: Yes, by rearranging the formula if you know the percentage change and one value.

Q5: What's considered a significant percentage change?
A: This depends on context - in finance, even 1-2% can be significant, while other fields may have different thresholds.

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