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Calculate Percent Of 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 comparative metrics.

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 the new and old values, divides by the original value to get a ratio, then converts to a percentage by multiplying by 100.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is fundamental 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 values as positive numbers. The old value cannot be zero (division by zero is undefined). Results are shown with two decimal places for precision.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is negative?
A: A negative result indicates a percentage decrease rather than increase.

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

Q3: What does a 100% increase mean?
A: A 100% increase means the value has doubled (become twice as large as the original).

Q4: Can I use this for percentage decrease?
A: Yes, the result will automatically show as negative if the new value is smaller than the old value.

Q5: Why is the old value in the denominator?
A: This standardizes the change relative to the starting point, making percentages comparable across different scales.

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