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Calculate Percent Increase Calculator

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 in finance, economics, statistics, and many other fields to track growth or change 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 the new and old values, divides by the old value to get the relative change, then multiplies by 100 to convert to a percentage.

3. Importance of Percentage Increase Calculation

Details: Percentage increase is crucial for understanding growth rates, comparing changes between different scales, analyzing trends, and making informed decisions in business and personal finance.

4. Using the Calculator

Tips: Enter both new and old values as positive numbers. The old value cannot be zero (as division by zero is undefined). Values can be integers or decimals.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simply the difference (New - Old), while percentage increase shows that difference 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: What if my old value was zero?
A: Percentage increase is undefined when the old value is zero, as you cannot divide by zero.

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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