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Percent Increase Between Two Numbers

Percentage Increase Formula:

\[ \text{Percentage Increase} = \left( \frac{\text{Number2} - \text{Number1}}{\text{Number1}} \right) \times 100 \]

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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:

\[ \text{Percentage Increase} = \left( \frac{\text{Number2} - \text{Number1}}{\text{Number1}} \right) \times 100 \]

Where:

Explanation: The formula calculates the difference between the two numbers, divides by the original number 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 in business (sales growth, profit margins), finance (investment returns), science (experimental results), and everyday life (price changes, salary increases).

4. Using the Calculator

Tips: Enter the original number and the new number. The calculator will show the percentage increase. If Number2 is less than Number1, the result will be negative (indicating a decrease).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply Number2 - Number1, while percentage increase shows the change relative to the original value.

Q2: Can the percentage increase be more than 100%?
A: Yes, if the new value is more than double the original, the percentage increase will exceed 100%.

Q3: What does a negative percentage increase mean?
A: A negative result indicates a percentage decrease rather than an increase.

Q4: How is percentage increase different from percentage points?
A: Percentage increase is relative to the original value, while percentage points measure absolute difference between two percentages.

Q5: Why is the original number in the denominator?
A: Using the original number as the base provides context for how significant the change is relative to the starting point.

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