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Percent Increase 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 expressed as a percentage. It's used to compare the change in a quantity over time, such as prices, quantities, or other measurable factors.

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 relative change between two values. A positive result indicates an increase, while a negative result indicates a decrease.

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, statistics, and many other fields to analyze 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. The calculator will automatically determine if it's a percentage increase or decrease. Note that the 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: The calculation is undefined when the old value is zero, as division by zero is not possible.

Q3: How is percentage change different from percentage difference?
A: Percentage change compares a new value to an old value, while percentage difference compares any two values without considering which is older.

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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