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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 relative change between two values as a percentage of the original value.

Purpose: It helps analyze growth, decline, or variation between two quantities in business, finance, science, and everyday life.

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 of measurement.

4. Using the Calculator

Tips: Enter both original and new values. The calculator handles positive and negative changes automatically.

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 original value is zero (division by zero).

Q3: How is this different from percentage difference?
A: Percentage change compares to original value, while percentage difference compares to the average of two values.

Q4: Can I calculate reverse percentage?
A: Yes, if you know the percentage change and original value, you can calculate the new value.

Q5: What's considered a significant percentage change?
A: Significance depends on context - a 5% change in stock prices may be significant, while 5% in body weight certainly is.

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