Percentage Change Formula:
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Definition: This calculator determines the percentage increase or decrease between two values.
Purpose: It helps analyze changes in measurements, prices, quantities, or any numerical data over time.
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 helps compare relative differences regardless of the absolute values, making it useful for financial analysis, performance tracking, and scientific measurements.
Tips: Enter both old and new values. The calculator handles both increases (positive result) and decreases (negative result). Old value cannot be zero.
Q1: What does a negative percentage mean?
A: A negative percentage indicates a decrease from the old value to the new value.
Q2: Why can't the old value be zero?
A: Division by zero is mathematically undefined, so percentage change cannot be calculated when starting from zero.
Q3: How is this different from percentage difference?
A: Percentage change compares two values over time, while percentage difference compares two simultaneous values.
Q4: What's considered a significant percentage change?
A: Significance depends on context - a 5% price change might be significant, while a 5% change in large measurements might not be.
Q5: Can I calculate reverse percentage changes?
A: Yes, you can rearrange the formula to find original values given percentage changes.