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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 measures the percentage difference between an old value and a new value.

Purpose: It helps analyze growth, decline, or change in various metrics like prices, quantities, or performance indicators.

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 values is divided by the original value to get relative change, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Change Calculation

Details: Percentage change provides a standardized way to compare changes across different scales and units of measurement.

4. Using the Calculator

Tips: Enter both old and new values. The old value cannot be zero (division by zero is undefined).

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, as division by zero is impossible.

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

Q4: What are common applications?
A: Useful for financial analysis, sales tracking, scientific measurements, and performance metrics.

Q5: How to interpret a 100% increase?
A: A 100% increase means the new value is double the old value (100% of the original added to itself).

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