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Percentage Increase Calculator

Percentage Increase Formula:

\[ \text{Increase} = \left( \frac{\text{New} - \text{Old}}{\text{Old}} \right) \times 100 \]

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1. What is a Percentage Increase Calculator?

Definition: This calculator determines the percentage increase between an old value and a new value.

Purpose: It helps analyze growth, price changes, performance improvements, and other comparative measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Increase} = \left( \frac{\text{New} - \text{Old}}{\text{Old}} \right) \times 100 \]

Where:

Explanation: The difference between new and old values is divided by the old value, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase helps compare relative growth across different scales, making it valuable in finance, statistics, business analysis, and scientific research.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative result mean?
A: A negative result indicates a percentage decrease rather than increase.

Q2: Can I use this for percentage decrease calculations?
A: Yes, the same formula works for decreases (which will show as negative percentages).

Q3: What's the difference between percentage increase and percentage points?
A: Percentage increase is relative to the original value, while percentage points are absolute differences between percentages.

Q4: How do I interpret a 100% increase?
A: A 100% increase means the new value is double the original value.

Q5: Why do we multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage (e.g., 0.25 becomes 25%).

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