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Google 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 two values, showing how much a value has grown relative to its original amount.

Purpose: It helps analyze growth rates in financial, statistical, scientific, and everyday calculations.

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 a percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is crucial for understanding growth rates in business metrics, investments, population studies, and performance measurements.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. Both must be positive numbers. The calculator will show the percentage increase between them.

5. Frequently Asked Questions (FAQ)

Q1: What if my old value is zero?
A: The calculation is undefined when the old value is zero, as division by zero is impossible. Enter positive values only.

Q2: What does a negative result mean?
A: A negative result indicates a percentage decrease rather than an increase.

Q3: How is this different from percentage difference?
A: Percentage increase measures change relative to the original value, while percentage difference compares two values without reference to which is original.

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

Q5: Why multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage, which is more intuitive for most applications.

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