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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 degree of change over time and is used in many fields including finance, economics, and statistics. It expresses the change as a percentage of the 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 relative change between two values and expresses it as a percentage. Positive results indicate increase, negative results indicate decrease.

3. Importance of Percentage Change Calculation

Details: Percentage change is crucial for analyzing trends, comparing data over time, making investment decisions, and understanding growth or decline in various metrics.

4. Using the Calculator

Tips: Enter the original value and the new value. Both values must be positive numbers. The old value cannot be zero as division by zero is undefined.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for financial calculations?
A: Yes, this calculator is commonly used for calculating stock price changes, revenue growth, and other financial metrics.

Q3: What if the old value is zero?
A: The calculation cannot be performed if the old value is zero, as division by zero is mathematically undefined.

Q4: How is percentage change different from percentage difference?
A: Percentage change compares a new value to an old value over time, while percentage difference compares two different values at the same point in time.

Q5: Can I calculate percentage decrease?
A: Yes, when the new value is less than the old value, the result will automatically show as a negative percentage, indicating a decrease.

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