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Percent Increase Calculator

Percent Increase Formula:

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

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1. What is Percent Increase?

Percent increase measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used in finance, economics, business, and statistics to track growth rates.

2. How Does the Calculator Work?

The calculator uses the percent increase formula:

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

Where:

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

3. Importance of Percent Increase Calculation

Details: Percent increase is essential for analyzing growth trends, comparing performance over time, making investment decisions, and setting business targets.

4. Using the Calculator

Tips: Enter both new and old values. The old value cannot be zero (division by zero is undefined). Values can be positive or negative but must be numeric.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I interpret a negative percent increase?
A: A negative result indicates a percent decrease rather than increase.

Q3: What if my old value was zero?
A: The calculation is undefined when old value is zero, as you cannot divide by zero.

Q4: Can I use this for percentage change between any two numbers?
A: Yes, this works for any numerical values where the denominator isn't zero.

Q5: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percent increase measures relative change from an original value.

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