Percentage Change Calculator

Percentage Change Formula:

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

Percentage Change:

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1. What is a Percentage Change Calculator?

Definition: This calculator determines the percentage increase or decrease between two values.

Purpose: It helps analyze changes in quantities like prices, measurements, or performance metrics over time.

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:

New Value — The current or updated measurement
Old Value — The original or previous measurement

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

3. Importance of Percentage Change Calculation

Details: Percentage change provides a standardized way to compare changes across different scales and units of measurement.

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 does a negative percentage mean?
A: A negative percentage 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, as it would require division by zero.

Q3: How do I interpret a 100% increase?
A: A 100% increase means the new value is exactly double the old value.

Q4: Can I calculate percentage change between two negative numbers?
A: Yes, the formula works the same way with negative numbers.

Q5: What's the difference between percentage change and percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.