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How To Calculate Percentage Variation

Percentage Variation Formula:

\[ \text{Percentage Variation} = \frac{\text{New} - \text{Old}}{\text{Old}} \times 100\% \]

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1. What Is Percentage Variation?

Percentage variation measures the relative change between two values, expressed as a percentage. It shows how much a value has increased or decreased compared to its original value.

2. How Does The Calculator Work?

The calculator uses the percentage variation formula:

\[ \text{Percentage Variation} = \frac{\text{New} - \text{Old}}{\text{Old}} \times 100\% \]

Where:

Explanation: The formula calculates the difference between new and old values, divides by the old value to get the relative change, then multiplies by 100 to convert to percentage.

3. Importance Of Percentage Variation Calculation

Details: Percentage variation is widely used in finance, economics, statistics, and business to analyze growth rates, price changes, performance metrics, and trend analysis.

4. Using The Calculator

Tips: Enter both new and old values. The old value cannot be zero (division by zero is undefined). Results show positive percentage for increases and negative percentage for decreases.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative percentage variation mean?
A: A negative percentage indicates a decrease or reduction from the old value to the new value.

Q2: How is percentage variation different from percentage change?
A: Percentage variation and percentage change are essentially the same calculation, both measuring relative difference between two values.

Q3: Can percentage variation exceed 100%?
A: Yes, when the new value is more than double the old value, the percentage variation will exceed 100%.

Q4: What if the old value is zero?
A: The calculation is undefined when the old value is zero, as division by zero is mathematically impossible.

Q5: How is percentage variation used in business?
A: Commonly used to analyze sales growth, revenue changes, profit margins, market share variations, and other key performance indicators.

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