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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, statistics, and everyday calculations to compare 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 the new and old values, divides by the old value to get the relative change, then multiplies by 100 to convert to a percentage.

3. Practical Applications

Details: Percentage increase is widely used in:

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply new value minus old value, while percentage increase shows the change relative to the original value.

Q2: How do I interpret a negative percentage increase?
A: A negative result means the value has decreased rather than increased.

Q3: What if my old value was zero?
A: Percentage change from zero is undefined because you can't divide by zero. Consider using absolute change instead.

Q4: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percentage increase measures relative change.

Q5: Can I calculate percentage decrease with this calculator?
A: Yes, when the new value is smaller than the old value, the result will be negative, indicating a percentage decrease.

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