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Percentage Increase Calculator

Percentage Increase Formula:

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

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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 in finance, statistics, and general data analysis to compare growth rates.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

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

Where:

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

3. Importance of Percentage Increase Calculation

Details: Percentage increase is essential for understanding growth rates in business metrics, investment returns, population changes, and scientific measurements. It provides a standardized way to compare changes across different scales.

4. Using the Calculator

Tips: Enter both old and new values as positive numbers. The old value must be non-zero to avoid division by zero errors. 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 simply new minus old value, 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 will be 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: What if my old value was zero?
A: The calculation is undefined when old value is zero, as you can't divide by zero. Consider using absolute difference instead.

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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