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Percentage Change Calculator

Percentage Change Formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

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1. What is Percentage Change?

Percentage change measures the degree of change over time. It's used to compare an old value to a new value, expressing the difference as a percentage of the old value.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Where:

Explanation: The formula calculates the difference between values, divides by the original value to normalize the change, then converts to a percentage.

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, statistics, and science to measure growth rates, price changes, performance improvements, and more.

4. Using the Calculator

Tips: Enter both old and new values. The calculator handles positive and negative values. Division by zero is avoided (old value cannot be zero).

5. Frequently Asked Questions (FAQ)

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

Q2: How is percentage change different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.

Q3: What if my old value is zero?
A: Percentage change is undefined when the old value is zero, as it would require division by zero.

Q4: How is percentage change used in finance?
A: It's used to calculate investment returns, stock price changes, revenue growth, and other financial metrics.

Q5: 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.

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