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Percentage Variation Calculator Math

Percentage Variation Formula:

\[ \%\text{Var} = \frac{V_{\text{new}} - V_{\text{old}}}{V_{\text{old}}} \times 100 \]

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1. What is a Percentage Variation Calculator?

Definition: This calculator measures the relative change between an old value and a new value, expressed as a percentage.

Purpose: It helps analyze growth, decline, or change in various contexts like finance, statistics, science, and business metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \%\text{Var} = \frac{V_{\text{new}} - V_{\text{old}}}{V_{\text{old}}} \times 100 \]

Where:

Explanation: The difference between new and old values is divided by the old value, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Variation

Details: Percentage variation provides a standardized way to compare changes across different scales and contexts, making trends easier to interpret.

4. Using the Calculator

Tips: Enter both values (new and old). The old value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What does a positive percentage mean?
A: A positive result indicates an increase from the old value to the new value.

Q2: What does a negative percentage mean?
A: A negative result indicates a decrease from the old value to the new value.

Q3: What if my old value is zero?
A: The calculation is undefined (division by zero). Consider using absolute difference instead.

Q4: How is this different from percentage difference?
A: Percentage variation compares to the original value, while percentage difference compares to the average of two values.

Q5: Can I use this for percentage change over time?
A: Yes, this is commonly used to calculate growth rates, price changes, and other time-based comparisons.

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