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Percentage Change Calculator

Percentage Change Formula:

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

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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 relative to the old value, expressed as a percentage.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

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

Where:

Explanation: The formula calculates the relative difference between two values as a percentage of the original value.

3. Importance of Percentage Change

Details: Percentage change is widely used in finance, economics, statistics, and many scientific fields to compare changes in values of different magnitudes on a common scale.

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

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 reference to which is older.

Q4: Can percentage change be more than 100%?
A: Yes, when the new value is more than double the old value, the percentage change exceeds 100%.

Q5: How do I interpret a percentage change from 50 to 75?
A: This is a 50% increase (75-50=25, 25/50=0.5, 0.5×100=50%).

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