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Percent Increase And Decrease

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 relative change between an old value and a new value. It expresses the change as a percentage of the original value.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

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

Where:

Explanation: A positive result indicates a percentage increase, while a negative result indicates a percentage decrease.

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 old value and new value. The calculator will automatically determine if it's an increase or decrease and display the percentage change. Note: Old value cannot be zero.

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: What if my old value is zero?
A: Percentage change cannot be calculated when the old value is zero because division by zero is undefined.

Q3: How is percentage change different from percentage difference?
A: Percentage change compares two values over time (before/after), while percentage difference compares two different values at the same time.

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 do I interpret a percentage decrease?
A: A percentage decrease shows how much a quantity has reduced relative to its original amount. For example, a 20% decrease means the new value is 80% of the original.

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