Home Back

Percentage Increase And Decrease Calculator Math

Percentage Change Formula:

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

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Percentage Change?

Percentage change measures the relative difference between an old value and a new value, expressed as a percentage. It indicates how much a quantity has increased or decreased compared to its original amount.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

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

Where:

Explanation: A positive result indicates a percentage increase, while a negative result indicates a percentage decrease.

3. Practical Applications

Details: Percentage change is widely used in finance (stock prices, inflation), business (sales growth), science (experimental results), and everyday life (price comparisons).

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease from the old value to the new value.

Q2: How do I interpret a 100% increase?
A: A 100% increase means the new value is double the old value (100% of the original amount added to itself).

Q3: What if the old value is zero?
A: Percentage change is undefined when the old value is zero, as division by zero is mathematically impossible.

Q4: How is percentage change different from percentage points?
A: Percentage change is relative to the original value, while percentage points measure absolute differences between percentages.

Q5: Can percentage change be more than 100%?
A: Yes, percentage change can exceed 100% when the new value is more than double the old value.

Percentage Increase and Decrease Calculator© - All Rights Reserved 2025