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Percentage Calculator % 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 to track growth, inflation, performance improvements, and other changes 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 new and old values, divides by the original value to get relative change, then converts to percentage by multiplying by 100.

3. Practical Applications

Details: Percentage increase is used in finance (investment returns, price changes), business (sales growth), education (test score improvements), and science (experimental results).

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 2 decimal places.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this different from percentage difference?
A: Percentage increase compares to the original value, while percentage difference compares to the average of two values.

Q3: What if my old value was zero?
A: Percentage change from zero is undefined mathematically, as it would require division by zero.

Q4: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).

Q5: Can percentage increase be more than 100%?
A: Yes, values can increase by any percentage. A 200% increase means the value tripled.

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