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 value.
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, economics, science, and everyday life to compare changes over time, track growth or decline, and make relative comparisons between different quantities.
Tips: Enter both old and new values. The calculator will show the percentage change and indicate whether it's an increase or decrease. Note: The old value cannot be zero (division by zero is undefined).
Q1: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease from the old value to the new value.
Q2: 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.
Q3: What if my old value is zero?
A: The calculation is undefined when the old value is zero, as you cannot divide by zero. In such cases, consider using absolute change instead.
Q4: Can percentage change be more than 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 percentage decrease from 100 to 50 versus 50 to 0?
A: Both are 50% changes but represent different magnitudes of absolute change. The first is a decrease of 50 units, the second of 25 units.