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Percentage Change Calculator

Percentage Change Formula:

\[ \text{Change} = \left( \frac{\text{New}}{\text{Old}} - 1 \right) \times 100 \]

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1. What is a Percentage Change Calculator?

Definition: This calculator measures the relative change between two values as a percentage.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Change} = \left( \frac{\text{New}}{\text{Old}} - 1 \right) \times 100 \]

Where:

Explanation: The formula calculates the relative difference between the new and old values, expressed as a percentage.

3. Understanding Percentage Change

Details: Positive results indicate growth/increase, negative results show decline/decrease, and zero means no change.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does a positive percentage mean?
A: A positive percentage indicates an increase from the old value to the new value.

Q2: What does a negative percentage mean?
A: A negative percentage indicates a decrease from the old value to the new value.

Q3: Can I calculate percentage decrease?
A: Yes, the same formula works - a negative result shows the percentage decrease.

Q4: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage change calculation impossible.

Q5: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.

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