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Percentage Change Calculator Omni

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 relative change between an old value and a new value, expressed 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 the new and old values, divides by the old value to get a relative change, then multiplies by 100 to convert to a percentage.

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, science, and everyday life to compare changes in values over time, regardless of their absolute magnitudes.

4. Using the Calculator

Tips: Enter both old and new values. The calculator will show the percentage increase (positive result) or decrease (negative result). The old value cannot be zero.

5. Frequently Asked Questions (FAQ)

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

Q2: What if the old value is zero?
A: The calculation is undefined when the old value is zero, as division by zero is impossible.

Q3: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two values at the same time.

Q4: Can percentage change exceed 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 0% change?
A: A 0% change means the new value is exactly the same as the old value.

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