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Percentage Increase Calculator

Percentage Increase Formula:

\[ \text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\% \]

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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:

\[ \text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\% \]

Where:

Explanation: The formula calculates the relative change between two values by comparing the difference to the original value.

3. Importance of Percentage Increase

Details: Percentage increase is widely used in finance, economics, business, science, and everyday life to compare changes across different scales and contexts.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if my old value is zero?
A: Percentage increase is undefined when the old value is zero, as it would require division by zero.

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

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

Q4: What's the difference between percentage increase and growth factor?
A: Growth factor is the multiplier (e.g., 1.05 for 5% increase), while percentage increase expresses this as a percentage.

Q5: How do I calculate compound percentage increases?
A: For multiple periods, use (1 + r)^n where r is the rate and n is the number of periods, then subtract 1 and multiply by 100.

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