Home Back

Figure Out A Percentage Increase

Percentage Increase Formula:

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

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Percentage Increase?

Percentage increase measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used to track growth in financial, statistical, and scientific contexts.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

Explanation: The formula calculates the difference between new and old values, divides by the old value to get relative change, then converts to percentage by multiplying by 100.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is essential for analyzing growth rates, comparing changes across different scales, and making data-driven decisions in business, economics, and research.

4. Using the Calculator

Tips: Enter both new and old values as positive numbers. The old value cannot be zero (division by zero is undefined). Results are rounded to 2 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is the simple difference (new - old), while percentage increase shows the change relative to the original value.

Q2: Can percentage increase be negative?
A: Yes, if the new value is smaller than the old value, the result is negative, indicating a percentage decrease.

Q3: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).

Q4: Why do we multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage, which is easier to understand and compare.

Q5: What's the maximum possible percentage increase?
A: There's no theoretical maximum. As the new value approaches infinity relative to the old value, the percentage increase approaches infinity.

Percentage Increase Calculator© - All Rights Reserved 2025