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 quantifies how much a value has increased or decreased compared to its original amount.
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 the relative change, then multiplies by 100 to convert to percentage.
Details: Percentage change is widely used in finance, economics, business, statistics, and everyday life to track growth rates, price changes, performance improvements, and trend analysis.
Tips: Enter both old and new values in the same units. The old value cannot be zero (division by zero error). Positive results indicate increase, negative results indicate decrease.
Q1: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease or reduction from the original value to the new value.
Q2: Can I calculate percentage change when old value is zero?
A: No, the formula requires division by the old value, so zero is not allowed as it would result in undefined calculation.
Q3: How is percentage change different from percentage difference?
A: Percentage change compares a new value to an old value, while percentage difference compares two values without designating one as reference.
Q4: What are common applications of percentage change?
A: Stock price changes, sales growth, inflation rates, population changes, test score improvements, and performance metrics.
Q5: How do I interpret a 100% change?
A: A 100% change means the value has doubled (increased by 100% of the original value).