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Percent Increase and Decrease Calculator

Percentage Change Formula:

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

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1. What is a Percentage Change Calculator?

Definition: This calculator measures the relative change between two values expressed as a percentage.

Purpose: It helps determine increases or decreases between original and new values in finance, statistics, and general data analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Percentage Change Calculation

Details: Percentage change helps compare relative differences regardless of scale, useful for tracking growth, declines, and performance metrics.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: What if my original value is zero?
A: Percentage change is undefined when original is zero (division by zero error).

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

Q4: Can I calculate reverse percentage?
A: Yes, rearrange the formula: Original = New / (1 + (Percentage/100)).

Q5: Why use percentage instead of absolute numbers?
A: Percentages provide relative comparisons that work across different scales and magnitudes.

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