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Percent Increase Calculator Marshu University

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 standard 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 values, divides by the original value to get relative change, then converts to 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 statistical trends across many fields including economics, business, and science.

4. Using the Calculator

Tips: Enter both new and old values as positive numbers. The old value cannot be zero (as 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 minus old value, while percentage increase shows the change relative to the original value.

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

Q3: Why do we multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage, which is more intuitive for most applications.

Q4: 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.

Q5: What if my old value was negative?
A: The calculator works with negative values, but interpretation requires caution as the sign change affects the percentage meaning.

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