Choose what you want to work out, then enter the prices and the discount. You get the price after the discount, the amount and percentage off and the price multiplier, with every step shown. It also handles two discounts in a row, such as an extra 10% off at the till on an item that is already reduced.
Pick the question
‘% off’ takes a percentage off a price. ‘Amount off’ takes a sum off and tells you what percentage it is. ‘Find the %’ compares an original price with a reduced one. ‘Was price’ finds the price before the discount from the price paid and the percentage off.
Two discounts in a row
In ‘% off’, the ‘Extra discount’ field takes a second percentage off the already reduced price. The calculator shows each step and the single discount the two add up to: 30% then 10% make 37% off, not 40%.
With or without VAT
Enter every price on the same basis. A percentage off is the same whether prices include VAT or not, as long as the VAT rate does not change. An amount off is not: £10 off the price before VAT is £12 off the price including VAT at 20%.
Rounding
Amounts are rounded to the nearest penny, with halves rounded up. The amount off and the price after the discount always add back up to the original price. Percentages worked out from two prices are rounded to two decimal places, and the price multiplier to four.
Amount off = original price × percentage ÷ 100, then price after discount = original price − amount off.
Percentage off = (original price − price after discount) ÷ original price × 100.
Original price = price after discount ÷ (1 − percentage ÷ 100).
Two discounts a and b in a row: multiplier = (1 − a) × (1 − b), and overall discount = 1 − multiplier.
Example: an £85 coat at 20% off, then an extra 15% at the till
First discount: £85.00 × 20% = £17.00, leaving £68.00. Extra discount: £68.00 × 15% = £10.20, leaving £57.80 to pay. You save £27.20, which is 32% off overall, not 35%, because (1 − 20%) × (1 − 15%) = 0.8 × 0.85 = 0.68.