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Percentage Change Calculator Soup

Percentage Change Formula:

\[ \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\% \]

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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 between two values in business, finance, science, and everyday life.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\% \]

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

Details: Percentage change standardizes comparisons between different scales and magnitudes, making trends easier to analyze.

4. Using the Calculator

Tips: Enter both old and new values. The calculator handles positive and negative values. Old value cannot be zero.

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 old value is zero (division by zero). Consider absolute change instead.

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

Q4: Can I calculate reverse percentage change?
A: Yes, swap the old and new values in the formula to see the reverse perspective.

Q5: How do I interpret a 100% change?
A: 100% means the new value is double the old value. -100% means the new value is zero.

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