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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 changes in quantities over time, such as price changes, growth rates, or performance 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 to get the relative change, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Change Calculation

Details: Percentage change helps compare relative changes across different scales and is widely used in finance, economics, science, and business analytics.

4. Using the Calculator

Tips: Enter both old and new values. The calculator handles both increases (positive result) and decreases (negative result).

5. Frequently Asked Questions (FAQ)

Q1: What does a negative percentage mean?
A: A negative percentage 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). The calculator will not show a result in this case.

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 changes?
A: Yes, you can rearrange the formula to find old or new values when the percentage change is known.

Q5: What are common applications?
A: Common uses include calculating price changes, investment returns, population growth, and performance improvements.

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