Percentage Decrease Calculator

Measure how far a value has fallen, or take a percentage off a starting number.

Percentage decrease

Measure a fall that happened, or apply one yourself.

You know both values and want the percentage.

What percentage decrease means

A percentage decrease measures a fall against the value it fell from. It answers questions like how much a price dropped in a sale, how far output slipped this quarter, or how much weight a shipment lost in transit. As with increases, the original value is the yardstick — a drop of 200 is catastrophic for a value of 250 and barely noticeable for a value of 250,000.

How to use it

Use the first tab when both numbers are known and you want the percentage between them. Use the second when you want to knock a percentage off a figure, which is the same calculation a shop performs when it marks something down.

The formulas

Measuring a decreaseDecrease % = ((Original − New) ÷ Original) × 100
Applying a decreaseNew value = Original × (1 − Percentage ÷ 100)

Worked example

Weekly sales falling from 80 units to 60

  1. Find the fall: 80 − 60 = 20
  2. Divide by the original figure: 20 ÷ 80 = 0.25
  3. Multiply by 100: a 25% decrease

Taking 18% off a 250 subscription

  1. Convert: 18 ÷ 100 = 0.18
  2. Find the reduction: 0.18 × 250 = 45
  3. Subtract: 250 − 45 = 205, or simply 250 × 0.82
Why a decrease can never exceed 100% Removing 100% of something leaves nothing. If a calculation tells you a value fell by more than 100%, the new value must have gone below zero — possible for a bank balance, impossible for a price tag.

Common mistakes

Cancelling an increase with an equal decrease. A 20% rise followed by a 20% fall leaves you below where you began: 100 goes up to 120, then down to 96. The percentages are taken from different bases.

Stacking two discounts by adding them. A 30% discount followed by an extra 20% off is not 50% off. It is 0.7 × 0.8 = 0.56 of the original, which is a 44% discount overall.

Using the new value as the base. Going from 80 to 60 is a 25% decrease, not a 33.3% one. That 33.3% figure is the increase you would need to get back from 60 to 80, which is a different question.

Frequently asked questions

What is the formula for percentage decrease?
Subtract the new value from the original, divide by the original, and multiply by 100: ((Original − New) ÷ Original) × 100.
How do I subtract 15% from a price?
Multiply the price by 0.85. To remove any percentage, subtract it from 100, divide by 100, and multiply. Removing 7% means multiplying by 0.93.
Why is the decrease from 80 to 60 not the same as the increase from 60 to 80?
They have different reference points. The fall of 20 is a quarter of 80, so 25%. The same 20 is a third of 60, so 33.33%. The size of the step is identical; what changes is what you compare it to.
Can I use this for a weight or exam score drop?
Yes. The calculation is the same whatever the units are, as long as both numbers are measured in the same thing.
What happens if I decrease by more than 100%?
The calculator gives you the mathematically correct negative result and shows the working. Whether that makes sense depends on what you are measuring.

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