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Work Out % Increase Calculator

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 in finance, economics, statistics, and everyday life to track growth rates.

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 old value to get the relative change, then multiplies by 100 to convert to a percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is essential for analyzing growth rates, comparing changes over time, evaluating investment returns, measuring performance improvements, and making data-driven decisions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: What does a negative percentage increase mean?
A: A negative result indicates a percentage decrease rather than an increase.

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 change calculations impossible from a zero base.

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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