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Calculate A Percent Increase

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 many other fields 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. Importance of Percentage Increase Calculation

Details: Percentage increase is crucial for understanding growth rates in business metrics (sales, profits), investments (stock prices, returns), population studies, and scientific measurements. It provides a standardized way to compare changes across different scales.

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). Results are rounded to 2 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply (New Value - 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 indicates a percentage decrease rather than an increase.

Q3: What if my old value was zero?
A: Percentage change is undefined when the old value is zero, as division by zero is impossible.

Q4: Can percentage increase be more than 100%?
A: Yes, this means the value has more than doubled (e.g., 200% increase means the value is 3 times the original).

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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