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Percentage Change Calculator by Percent

Percentage Change Formula:

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

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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 analyze growth, decline, or changes in various metrics like prices, quantities, or measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the relative difference between two values as a percentage of the original value.

3. Importance of Percentage Change Calculation

Details: Percentage change is crucial in finance, economics, business analysis, and scientific research to understand trends and performance.

4. Using the Calculator

Tips: Enter the original value and new value. The calculator will show the percentage increase (positive) or decrease (negative).

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: What's the difference between percentage change and percentage point?
A: Percentage change measures relative difference, while percentage points measure absolute difference between percentages.

Q3: Why do we divide by the original value?
A: Dividing by the original value standardizes the change relative to the starting point.

Q4: Can I calculate percentage change when original value is zero?
A: No, division by zero is undefined. The original value must be non-zero.

Q5: How is this different from percentage difference?
A: Percentage change compares to the original value, while percentage difference compares to the average of two values.

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