Percentage Decrease Calculator
Calculate the percentage decrease from one value to another, or find the new value after a percentage decrease.
Percentage Decrease
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What is Percentage Decrease Calculator?
A percentage decrease calculator finds how much a value has fallen relative to its original amount, expressed as a percentage. It also works in reverse — given a starting value and a percentage decrease, it calculates the resulting new value. Common uses include calculating discounts, price drops, weight loss, and budget cuts.
How to use
- 1 To find the percentage decrease, select 'Find % Decrease' and enter the original and new values.
- 2 To find the new value after a decrease, select 'Find New Value' and enter the original value and the percentage to decrease by.
- 3 Results update instantly as you type.
- 4 The result shows both the percentage decrease and the absolute amount of decrease.
Formula
Example calculation
If a jacket's price dropped from $100 to $75, the percentage decrease is ((100 - 75) / 100) × 100 = 25%. Conversely, a $200 item discounted by 20% becomes 200 × (1 - 0.20) = $160.
Frequently asked questions
What is the formula for percentage decrease?
Percentage decrease = ((Original - New) / |Original|) × 100. It measures how much a value fell as a proportion of the original.
How is a percentage decrease different from a percentage increase?
Percentage decrease applies when the new value is smaller than the original. The formula is the same as percentage change, but the result is negative (or expressed as a positive decrease).
How do I calculate a sale price after a percentage discount?
Multiply the original price by (1 - discount / 100). A 30% discount on $50 gives 50 × 0.70 = $35.
If something decreases by 50% and then increases by 50%, does it return to the original?
No. A 50% decrease on $100 gives $50, and a 50% increase on $50 gives $75 — not $100. Percentage changes are applied to different base values.
What if the original value is zero?
Percentage decrease is undefined when the original value is zero because division by zero is not possible. The calculator will not display a result in that case.