Percentage Change Formula:
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Percentage change measures the relative difference between an old value and a new value, expressed as a percentage. It shows how much a quantity has increased or decreased compared to its original amount.
The calculator uses the percentage change formula:
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.
Details: Percentage change is widely used in finance (stock prices, inflation), business (sales growth), science (experimental results), and everyday life (price comparisons).
Tips: Enter both old and new values. The calculator will show the percentage increase or decrease. Note that the old value cannot be zero (division by zero is undefined).
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 percentage change different from percentage difference?
A: Percentage change compares two values over time (before/after), while percentage difference compares two simultaneous values.
Q3: What if my old value is zero?
A: Percentage change is undefined when the old value is zero, as it would require division by zero.
Q4: Can percentage change be more than 100%?
A: Yes, a percentage change can exceed 100% when the new value is more than double the old value.
Q5: How do I interpret a percentage decrease?
A: A percentage decrease shows what portion of the original amount was lost. For example, a 20% decrease means the new value is 80% of the original.