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Find The % 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 track growth or change 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 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 fundamental 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 two 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 minus 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 starting from zero, as it would require division by zero.

Q4: Can percentage increase be more than 100%?
A: Yes, if the new value is more than double the old value, the percentage increase will exceed 100%.

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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