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 over time or between two states.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the relative change by finding the difference between new and old values, dividing by the old value to normalize the change, and multiplying by 100 to convert to percentage.
Details: Percentage change is widely used in finance, economics, business, science, and everyday life to track growth, performance, trends, and comparisons between different time periods or scenarios.
Tips: Enter both old and new values. The old value cannot be zero. Positive results indicate increase, negative results indicate decrease. Values can be any numerical measurement (prices, quantities, measurements, etc.).
Q1: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease or reduction from the old value to the new value.
Q2: Can I use this for price changes?
A: Yes, this calculator is perfect for calculating price increases/decreases, inflation rates, discount percentages, and financial growth rates.
Q3: What if the old value is zero?
A: The calculation is undefined when the old value is zero, as division by zero is mathematically impossible. Use absolute change instead.
Q4: How is this different from percentage difference?
A: Percentage change compares a value to its previous state, while percentage difference compares two distinct values without time sequence.
Q5: Can I calculate reverse percentage?
A: To find the original value given percentage change and new value, use: Old Value = New Value ÷ (1 + Percentage Change/100).