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Percentage Change Calculator

Percentage Change Formula:

\[ \%\ Change = \frac{New - Old}{Old} \times 100 \]

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1. What is Percentage Change?

Percentage change measures the relative difference 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 change formula:

\[ \%\ Change = \frac{New - Old}{Old} \times 100 \]

Where:

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

3. Importance of Percentage Change Calculation

Details: Percentage change is widely used in finance, economics, business analysis, scientific research, and everyday life to track growth, decline, performance improvements, and market trends.

4. Using the Calculator

Tips: Enter both old and new values. The old value cannot be zero. Positive results indicate increase, negative results indicate decrease.

5. Frequently Asked Questions (FAQ)

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

Q2: Can percentage change be more than 100%?
A: Yes, percentage change can exceed 100% when the new value is more than double the old value.

Q3: What if the old value is zero?
A: Percentage change is undefined when the old value is zero, as division by zero is mathematically impossible.

Q4: How is percentage change different from percentage point?
A: Percentage change measures relative change, while percentage points measure absolute difference between two percentages.

Q5: Where is percentage change commonly used?
A: Stock market returns, sales growth, population changes, inflation rates, and scientific experiment results.

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