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How To Calculate % Increase

Percentage Increase Formula:

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

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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. Importance of Percentage Increase

Details: Percentage increase is fundamental in business (revenue growth), finance (investment returns), economics (inflation rates), and science (experimental results). It provides a standardized way to compare changes across different scales.

4. Using the Calculator

Tips: Enter both new and old values. The old value cannot be zero (division by zero is undefined). Values can be positive or negative, representing increases or decreases.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I interpret negative percentage increase?
A: A negative result indicates a percentage decrease rather than an increase.

Q3: What if my old value was zero?
A: Percentage change from zero is undefined mathematically, as it would require division by zero.

Q4: Can percentage increase exceed 100%?
A: Yes, increases greater than the original value will result in percentages >100%.

Q5: 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.

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