Percentage Decrease Calculator
Measure how much a value dropped from an original to a new amount, with the percent decrease and the remaining share of the original.
What this calculator does
Calculate the percent drop from a starting value to a lower new value, with the absolute decrease, the remaining percentage, and the multiplier. For growth, switch to the Percentage Increase Calculator; for shopping discounts use Percent Off.
Formula
% decrease = ((original − new) ÷ original) × 100
multiplier = 1 − (% decrease ÷ 100) · remaining = 100% − % decrease
Variable definitions
original— Starting value (baseline). Must be greater than zero.new— The lower value after the decrease.remaining— What fraction of the original is left, expressed as a percent.
Step-by-step calculation
- Subtract the new value from the original.
- Divide that difference by the original.
- Multiply by 100 to express as a percent.
- The remaining percentage is 100% minus the result.
Worked example
A jacket marked down from $80 to $60:
- Absolute decrease: 80 − 60 = $20
- Percent: 20 ÷ 80 × 100 = 25% decrease
- Remaining: 100% − 25% = 75% of original (multiplier 0.75)
How to use this calculator
- Enter the original value (the baseline).
- Enter the new (lower) value.
- Read the percent decrease, absolute change, and remaining share.
Common mistakes
- Dividing by the new value: the denominator must be the original.
- Calling an increase a decrease: if new > original, switch to the Increase calculator.
- Confusing remaining with decrease: "25% off" leaves 75% to pay, not 25%.
Frequently asked questions
›How do I calculate a percentage decrease?
Subtract the new value from the original, divide by the original, then multiply by 100. From 80 to 60: (80 − 60) ÷ 80 × 100 = 25% decrease.
›What if the new value is higher than the original?
That is an increase, not a decrease. The calculator will flag it and link you to the Percentage Increase Calculator.
›Can a percentage decrease exceed 100%?
Only when the new value goes negative. A drop from 50 to −10 is a 120% decrease. Most everyday cases (price drops, weight loss) stay between 0% and 100%.
›Can the original value be zero?
No. You cannot compute a percentage decrease from zero — the denominator would be zero.
›What is the remaining percentage?
100% minus the percent decrease. A 25% drop leaves 75% of the original — useful for sale prices and depreciation.
›Is a 25% decrease the same as 0.75× the original?
Yes. Multiplier = 1 − (percent ÷ 100). A 25% decrease has a multiplier of 0.75.
›How does this differ from percent off?
Percent Off is a shopping-focused tool that returns sale prices, savings, and after-tax totals. Percentage Decrease is the general math operation between any two values.
Related calculators
- Percentage Increase CalculatorPercent growth from original to new value.
- Percentage CalculatorX% of Y, X is what % of Y, X is Y% of what.
- Percentage Difference CalculatorSymmetric % difference between two values.
- Percent Off CalculatorSale price and savings after a discount.
- Discount CalculatorPercent or fixed discounts, stacked, with tax and quantity.
- Standard Deviation CalculatorMean, variance, and standard deviation with steps.