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Change in Percent 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 an original value and a new value expressed as a percentage.

Purpose: It helps analyze growth, decline, or variation in values across different contexts like finance, statistics, and general mathematics.

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. Interpreting Results

Positive Percentage: Indicates an increase from the original value
Negative Percentage: Indicates a decrease from the original value
Zero Percentage: No change between values

4. Using the Calculator

Tips: Enter both original and new values. The original value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage change and percentage difference?
A: Percentage change compares new vs original, while percentage difference compares any two values without reference to original.

Q2: How do I interpret a negative percentage change?
A: A negative result means the new value is less than the original (a decrease).

Q3: What if my original value is zero?
A: Percentage change is undefined when original value is zero (division by zero).

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

Q5: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percentage change measures relative change.

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