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Percent Increase Calculator Formula

Percent 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, price changes, performance improvements, and other comparative metrics.

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

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental in business (sales growth), finance (investment returns), economics (price inflation), and science (experimental results). It provides a standardized way to compare changes across different scales.

4. Using the Calculator

Tips: Enter the original value and the new value. Both must be positive numbers, and the old value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What if my old value is zero?
A: Percentage change is undefined when starting from zero. Consider using absolute difference instead.

Q2: How is percentage decrease calculated?
A: The same formula works - it will yield a negative result when new value is less than old value.

Q3: What's the difference between percentage points and percent increase?
A: Percentage points measure absolute difference between percentages, while percent increase measures relative change.

Q4: Can percentage increase be more than 100%?
A: Yes, this indicates the value has more than doubled.

Q5: How to interpret a negative percentage increase?
A: This indicates a percentage decrease (new value is less than old value).

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