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Percent Increase Or Decrease 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 and is used to compare the magnitude of change between two values. It expresses the change as a percentage of the original value.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

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

Explanation:

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, statistics, and many other fields to compare changes in values over time, such as price changes, growth rates, or performance metrics.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. The calculator will show the percentage change and indicate whether it's an increase or decrease. Note that the old value cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if the old value is zero?
A: The calculation is undefined when the old value is zero, as division by zero is not possible. You'll need to use absolute change instead.

Q2: How is percentage decrease different from percentage increase?
A: The calculation is the same, but a negative result indicates a decrease. The calculator shows the absolute value with "increase" or "decrease" label.

Q3: Can I use this for percentage difference between two values?
A: Yes, though percentage difference typically uses the average of the two values as the denominator.

Q4: Why is percentage change useful?
A: It provides a standardized way to compare changes of different magnitudes on a common scale.

Q5: How do I interpret a 100% increase?
A: A 100% increase means the new value is exactly double the old value (a 200% increase would be triple, etc.).

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