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Calculate 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, economics, statistics, and various scientific fields 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 relative change between two values by finding the difference, dividing by the original value, and converting to a percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is crucial for understanding growth rates, comparing changes across different scales, and making data-driven decisions in business and research.

4. Using the Calculator

Tips: Enter both old and new values (must be positive numbers). The old value cannot be zero as division by zero is undefined.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase shows the numerical difference (new - old), while percentage increase shows the relative change compared 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: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage increase calculations impossible when starting from zero.

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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