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Percentage Change Calculator

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 percentage difference between an original value and a new value.

Purpose: It helps quantify changes in measurements, prices, quantities, or any numerical values over time or between different states.

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 measurements, and performance tracking.

4. Using the Calculator

Tips: Enter the original value and new value. The calculator will show the percentage change and indicate whether it's an increase or decrease.

5. Frequently Asked Questions (FAQ)

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

Q2: What if my original value is zero?
A: Percentage change is undefined when the original value is zero (division by zero). The calculator will not compute in this case.

Q3: How is this different from percentage difference?
A: Percentage change compares two values over time (before/after), 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, 0.1% could be crucial.

Q5: Can I calculate reverse percentage with this?
A: No, this calculates forward percentage change. For reverse percentage (finding original before change), you'd need a different calculation.

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