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Percentage Guru

Original price after 75% off

Enter what you paid and this page works back to the pre-sale price. The discount is fixed at 75% — the price is yours to change.

e.g. £15.00 after 75% off → £60.00 original

final ÷ (1 − rate ÷ 100) = original

Worked example at 75% off

You paid £15.00 in a 75% off sale.

  1. 100% − 75% = 25% of the original price remains
  2. As a decimal that is 0.25
  3. 15 ÷ 0.25 = £60.00
  4. You saved £45.00

Check it forwards: £60.00 − 75% = £15.00 ✓

Adding 75% back to £15.00 would give £26.25 — which is wrong, and wrong by more as the percentage grows. The discount was taken off the larger original, so putting it back on the smaller sale price never reaches it.

Where 75% off shows up

Three quarters off is close to the practical floor for advertised retail discounts. Below this, stock is usually bundled, sold to a clearance house or written off rather than marked down further.

The arithmetic mirrors the 25% case exactly: you paid a quarter, so the original is four times what you handed over. A £15 item was ticketed at £60.

75% off price table

What twenty common sale prices were before the 75% reduction. Every figure is divided by 0.25.

Sale prices and the original price each implies at 75% off
You paidOriginal priceYou saved
£10.00£40.00£30.00
£15.00£60.00£45.00
£20.00£80.00£60.00
£25.00£100.00£75.00
£30.00£120.00£90.00
£35.00£140.00£105.00
£40.00£160.00£120.00
£45.00£180.00£135.00
£50.00£200.00£150.00
£55.00£220.00£165.00
£60.00£240.00£180.00
£65.00£260.00£195.00
£70.00£280.00£210.00
£75.00£300.00£225.00
£80.00£320.00£240.00
£85.00£340.00£255.00
£90.00£360.00£270.00
£95.00£380.00£285.00
£100.00£400.00£300.00
£105.00£420.00£315.00

Doing it without a calculator

Multiply by four. You paid a quarter, so four times the sale price is the original exactly. On £15 that is £60. Like the 25% case it is one of the few depths you can reverse reliably in your head.

The exact method is always the same: divide by 0.25. 75% off leaves 25% of the original, so dividing by 0.25 undoes it precisely. Multiplying, or adding the percentage back on, gives a number that is always too small — and the error grows with the discount.

Frequently asked questions

What is the quick way to reverse 75% off?

Multiply by four. You paid 25% of the original, and 1 ÷ 0.25 = 4, so a £15 sale price was £60.