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Change of Percentage Calculator

Percentage Change Formula:

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

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1. What is a Percentage Change Calculator?

Definition: This calculator measures the relative change between an old value and a new value, expressed as a percentage.

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The difference between new and old values is divided by the old value to get the relative change, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Change Calculation

Details: Percentage change is widely used in finance, economics, business analysis, science experiments, and performance tracking to understand growth or decline.

4. Using the Calculator

Tips: Enter both old and new values. 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 change mean?
A: A negative result 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 the old 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, while percentage difference compares two simultaneous values.

Q4: Can I calculate percentage increase and decrease separately?
A: The same formula works for both - positive results indicate increase, negative results indicate decrease.

Q5: What fields commonly use percentage change?
A: Finance (stock prices), economics (GDP growth), business (sales trends), science (experimental results), and more.

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