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Percentage 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. It's used to compare the difference between an old and new value, expressed as a percentage of the old value. Positive values indicate an increase, while negative values indicate a decrease.

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 what percentage the difference between the two values is relative to the original value.

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, statistics, and business to track growth rates, price changes, performance metrics, and more. It provides a standardized way to compare changes across different scales.

4. Using the Calculator

Tips: Enter both old and new values as positive numbers. The calculator will automatically determine if the change is an increase or decrease. Note that the old value cannot be zero (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 old value to the new value.

Q2: How do I interpret a percentage change from 50 to 75?
A: This would be a 50% increase (75-50=25, 25/50=0.5, 0.5×100=50%).

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

Q5: How is percentage change different from percentage points?
A: Percentage change measures relative change from an original value, while percentage points measure absolute differences between percentages.

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