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 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 rates, and analyze trends.
Tips: Enter both old and new values. The calculator will show the percentage change and indicate whether it's an increase or decrease. Old value cannot be zero.
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: Why can't the old value be zero?
A: Division by zero is undefined in mathematics. The percentage change formula requires a non-zero old value.
Q3: How is percentage change different from percentage difference?
A: Percentage change compares a new value to an old value (temporal comparison), while percentage difference compares two simultaneous values.
Q4: What's the difference between percentage points and percent change?
A: Percentage points measure absolute difference (e.g., 5% to 7% is a 2 percentage point increase), while percent change measures relative difference (40% increase in this case).
Q5: How do I interpret a percentage change from 0% to X%?
A: When starting from zero, any positive value represents an infinite percentage increase, which is why we avoid calculating percentage change from zero.