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Percentage Increase Calculator

Percentage Increase Formula:

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

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1. What is a Percentage Increase Calculator?

Definition: This calculator determines the percentage increase between two values (new and old).

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental in financial analysis, sales reporting, scientific experiments, and performance metrics to understand growth or change over time.

4. Using the Calculator

Tips: Enter both new and old values (must be positive numbers). The old value cannot be zero as division by zero is undefined.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this different from percentage difference?
A: Percentage increase specifically measures growth from an original value, while percentage difference compares two values without reference to which is original.

Q3: What's considered a good percentage increase?
A: This depends entirely on context - a 5% sales increase might be excellent for one business but poor for another.

Q4: Can I use this for percentage decrease calculations?
A: Yes, when the new value is smaller than the old, the calculator will show a negative percentage (decrease).

Q5: Why is the old value required to be positive?
A: The calculation requires division by the old value, which must be non-zero. Negative values could produce misleading results.

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