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Percentage Change Calculator Formula

Percentage Change Formula:

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

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1. What is a Percentage Change Calculator?

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

Purpose: It helps analyze growth rates, price changes, performance improvements, and other comparative metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

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

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, making it essential for financial analysis, scientific research, and business metrics.

4. Using the Calculator

Tips: Enter the original 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 original value to the new value.

Q2: Can the original value be zero?
A: No, division by zero is undefined. The original value must be non-zero.

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's considered a significant percentage change?
A: Significance depends on context. In finance, 5% might be significant, while in scientific measurements, 0.5% could be crucial.

Q5: How do I interpret a 100% change?
A: A 100% increase means the value doubled. A 100% decrease means the value reached zero.

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