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Calculate A 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 old value to get relative change, then multiplies by 100 to convert to percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is vital in business (sales growth), finance (investment returns), economics (inflation rates), and science (experimental results). 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 2 decimal places.

5. Frequently Asked Questions (FAQ)

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

Q2: Can percentage increase be negative?
A: Yes, if the new value is less than the old value, the result is negative, indicating a percentage decrease.

Q3: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).

Q4: Why can't the old value be zero?
A: Division by zero is mathematically undefined. When the original value is zero, percentage change cannot be calculated.

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

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