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Calculating Percentage 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, statistics, and general data analysis to compare changes over time.

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 converts to a percentage by multiplying by 100.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental in analyzing growth rates, price changes, performance improvements, and many other metrics across business, economics, and science.

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 two decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply the numerical difference (New - Old), while percentage increase shows the relative change compared to the original value.

Q2: Can percentage increase be negative?
A: Yes, if the new value is smaller than the old value, the result will be negative, indicating a percentage decrease.

Q3: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).

Q4: What if my old value was zero?
A: Percentage change from zero is undefined mathematically, as it would require division by zero.

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

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