Percentage Change Formula:
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Definition: This calculator measures the relative change between two values expressed as a percentage.
Purpose: It helps analyze growth rates, price changes, performance improvements, and other comparative metrics.
The calculator uses the formula:
Where:
Explanation: The difference between new and old values is divided by the old value to get relative change, then multiplied by 100 to convert to percentage.
Details: Percentage change provides a standardized way to compare changes across different scales and units, making it essential for financial analysis, scientific research, and business metrics.
Tips: Enter both old and new values. The old value cannot be zero (division by zero is undefined). Positive results indicate increase, negative results indicate decrease.
Q1: What does a negative percentage change mean?
A: A negative result indicates a decrease from the old value to the new value.
Q2: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.
Q3: Why can't the old value be zero?
A: Division by zero is mathematically undefined, making percentage change impossible to calculate.
Q4: What's considered a significant percentage change?
A: Significance depends on context - a 5% price increase might be significant, while a 5% change in large population data might not be.
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%).