Percentages

Percentage Decrease Calculator

Calculate the new value after a percentage decrease. Enter the original value and percentage to subtract — full step-by-step working shows the multiplier method used in GCSE maths.

After 15% decrease

170

How it works

  1. Find the multiplier

    115100=0.851 - \frac{15}{100} = 0.85

    A 15% decrease uses a multiplier of 0.85. Subtracting from 1 removes the 15% from the original.

    Result:0.85
  2. Multiply by the original value

    200×0.85=170200 \times 0.85 = 170

    Multiply 200 by 0.85 to find the reduced value.

    Result:170
  3. Check: the decrease amount

    200170=30200 - 170 = 30

    The actual decrease is 30, which is 15% of 200.

    Result:-30

The formula

New value=original×(1P100)\text{New value} = \text{original} \times \left(1 - \frac{P}{100}\right)
PPThe percentage decrease
1P/1001 − P/100The multiplier

Example substitution

200×0.85=170200 \times 0.85 = 170

A 15% decrease: multiply by 0.85. Original 200 becomes 170.

Worked examples

A £60 item is reduced by 20% in a sale. What is the sale price?

  1. 1
    Multiplier: 1 − 20/100 = 0.8
  2. 2
    Multiply: 60 × 0.8 = 48
Answer: £48

A car worth £12,000 depreciates by 15%. What is it worth now?

  1. 1
    Multiplier: 1 − 15/100 = 0.85
  2. 2
    Multiply: 12000 × 0.85 = 10200
Answer: £10,200

A 75 kg person loses 8% of their body weight. Find their new weight.

  1. 1
    Multiplier: 1 − 8/100 = 0.92
  2. 2
    Multiply: 75 × 0.92 = 69
Answer: 69 kg

Frequently asked questions

How do you calculate a percentage decrease?+

Multiply the original value by (1 − percentage/100). E.g., decrease £80 by 15%: 80 × 0.85 = £68.

What multiplier gives a 30% decrease?+

0.70 — multiply by 0.70 to decrease by 30%.

How do you calculate a sale price?+

If an item is 25% off, multiply the original price by 0.75.

Can a percentage decrease be more than 100%?+

No — a 100% decrease results in zero. A decrease greater than 100% is not possible for positive values.

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