Home Back

What is the Percentage Change Calculator

Percentage Change Formula:

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

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is a Percentage Change Calculator?

Definition: This calculator measures the relative change between an old value and a new value expressed as a percentage.

Purpose: It helps analyze growth, decline, or change in various contexts like finance, statistics, business metrics, and scientific measurements.

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. Importance of Percentage Change Calculation

Details: Percentage change provides a standardized way to compare changes across different scales and units, making it easier to understand relative differences.

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 positive percentage indicate?
A: A positive percentage indicates an increase from the old value to the new value.

Q2: What does a negative percentage indicate?
A: A negative percentage indicates a decrease from the old value to the new value.

Q3: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.

Q4: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage change calculation impossible in this case.

Q5: How do I interpret a 100% change?
A: A 100% increase means the value has doubled. A 100% decrease means the value has gone to zero.

Percentage Change Calculator© - All Rights Reserved 2025