Home Back

Calculate An Increase In Percentage

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, inflation, performance improvements, and other changes over time.

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 original value to get relative change, then multiplies by 100 to convert to percentage.

3. Practical Applications

Details: Percentage increase is used in finance (investment returns), economics (price changes), business (sales growth), science (experimental results), and everyday life (salary raises).

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 just the difference (New - Old), while percentage increase shows that difference 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 decrease rather than increase).

Q3: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percentage increase measures relative change from an original value.

Q4: What if my old value was zero?
A: Percentage change from zero is undefined mathematically, as it would require division by zero.

Q5: How do I calculate percentage decrease?
A: Use the same formula - a decrease will naturally show as a negative percentage increase.

Percentage Increase Calculator© - All Rights Reserved 2025