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Calculator Soup Percent Change Calculator

Percent Change Formula:

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

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1. What is a Percent Change Calculator?

Definition: This calculator measures the percentage increase or decrease between an old value and a new value.

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Interpreting Results

Positive Result: Indicates an increase or growth
Negative Result: Indicates a decrease or reduction

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percent change and percent difference?
A: Percent change compares new vs old values over time, while percent difference compares two simultaneous values.

Q2: How do I calculate reverse percentage change?
A: To find the original value before a percentage change, divide the new value by (1 + percentage/100).

Q3: What if my old value is zero?
A: Percentage change is undefined when the old value is zero since you can't divide by zero.

Q4: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percent change measures relative change.

Q5: Can I use this for percentage increase calculations?
A: Yes, when new value > old value, the result shows the percentage increase.

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