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Percentage 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 to track growth rates in business, economics, and statistics.

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 values, divides by the original value to get relative change, then converts to a percentage.

3. Practical Applications

Details: Percentage increase is used in financial analysis (revenue growth), scientific research (population growth), retail (price changes), and performance metrics.

4. Using the Calculator

Tips: Enter both values as positive numbers. The old value cannot be zero. Results show how much the new value has increased compared to the old value.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is negative?
A: A negative result indicates a percentage decrease rather than increase.

Q2: How is this different from percentage points?
A: Percentage increase is relative to the original value, while percentage points measure absolute difference between percentages.

Q3: What does a 100% increase mean?
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 from a zero base.

Q5: How do I calculate compound percentage increases?
A: For multiple periods, use (1 + percentage/100)^n formula rather than simple addition of percentages.

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