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Calculate Percentage 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. Importance of Percentage Increase

Details: Percentage increase is fundamental in business (revenue growth), economics (inflation rates), science (experimental results), and personal finance (investment returns). It provides a standardized way to compare changes across different scales.

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 two decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simple subtraction (new - old), while percentage increase shows the change relative to the original value.

Q2: How do I interpret a negative result?
A: A negative result indicates a percentage decrease rather than increase.

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

Q4: Can percentage increase be over 100%?
A: Yes, values over 100% mean the quantity has more than doubled.

Q5: How is this different from percentage points?
A: Percentage points measure absolute difference between two percentages, while percentage increase measures relative change from an original value.

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