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Percent Off Calculator

With original price 80 USD, discount 30 percent, extra discount on the sale price 0 percent, sales tax 0 percent, percent off comes to $56.00 — final price. It is reached in 8 steps, the last of which is 56 + 0, and each one is printed on the page with its numbers filled in. The formula is the one published by NIST Handbook 130, not an approximation fitted to it.

The sale price after a discount, after a second discount stacked on it, and after tax — with what you actually saved.

Formula and sources checked · How we check

Original price 80, Discount 30

$56.00

Final price for the inputs in this link. Editing a field recomputes the calculator below; this figure holds the answer the page was loaded with.

It is written into the HTML rather than drawn by a script, so a search engine reading this page without running JavaScript still finds an answer.

Final price
$56.00
First discount
80 * 30 / 100$24
Price after the first discount
80 - 24$56
Extra discount, taken off the sale price
56 * 0 / 100$0
Price after both discounts
56 - 0$56
You save
80 - 56$24
Effective discount
24 / 80 * 10030 %
Sales tax on the discounted price
56 * 0 / 100$0
Total to pay
56 + 0$56

Ask about this in the chatCompare: one discount or twoPercent Off Chart

Worked example

A shirt at $80, marked 30% off, with a further 20% off sale prices. The first cut takes it to $56 and the second takes 20% of $56, not of $80 — so the final price is $44.80 and the effective discount is 44%, not the 50% the two signs seem to add up to.

How to work it out yourself

  1. 1.Enter the ticket price and the advertised discount.
  2. 2.If a second sign says "extra X% off sale prices", put that in the extra field. It comes off the already-reduced price, which is why the two rates do not add.
  3. 3.Add your local sales tax rate if you want the till figure. Every US state charges tax on the discounted price, not the original.

What each discount takes off

$0.0$47.5$95.05 Discount: $95.010 Discount: $90.015 Discount: $85.020 Discount: $80.025 Discount: $75.030 Discount: $70.033 Discount: $67.040 Discount: $60.050 Discount: $50.060 Discount: $40.070 Discount: $30.075 Discount: $25.0575Discount (percent)
What each discount takes off
Discount (percent)Final priceYou save
5$95.00$5
10$90.00$10
15$85.00$15
20$80.00$20
25$75.00$25
30$70.00$30
33$67.00$33
40$60.00$40
50$50.00$50
60$40.00$60
70$30.00$70
75$25.00$75

On a $100 item with no second discount and no tax.

The formula

  1. First discount80 * 30 / 100
  2. Price after the first discount80 - 24
  3. Extra discount, taken off the sale price56 * 0 / 100
  4. Price after both discounts56 - 0
  5. You save80 - 56
  6. Effective discount24 / 80 * 100
  7. Sales tax on the discounted price56 * 0 / 100
  8. Total to pay56 + 0

Source: NIST Handbook 130 — Uniform Regulation for the Method of Sale of Commodities

Questions people actually ask

Is 30% off and then 20% off the same as 50% off?
No, and the gap is bigger than people expect. The second discount applies to the already-reduced price: $80 becomes $56, and 20% of $56 is $11.20, so you pay $44.80. A straight 50% off would be $40. The two rates never add — they multiply, and the effective discount here is 44%.
How do I work out a percentage off in my head?
Take 10% by moving the decimal point one place, then build the rate from it. 30% off $80 is three lots of $8, so $24 off and $56 to pay. For 15%, take 10% and add half of it. For 25%, quarter it. The arithmetic is easier from the amount saved than from the price paid.
Is sales tax charged on the original or the discounted price?
On the discounted price, in every US state. Tax follows the amount actually paid, so a discount reduces the tax as well as the price. Manufacturer coupons are the exception in some states — where the retailer is reimbursed, the tax can be assessed on the pre-coupon price.
What discount takes a third off?
A third is 33.33%, and shops usually round it to "33% off" on the sign while charging the exact third at the till. On $90 the difference is three cents. The chart row for 33% is there because it is the rate that gets advertised, not because it is the arithmetic.
How do I find the original price from the sale price?
Divide, do not add the percentage back. A $44.80 item that is 44% off came from $44.80 ÷ 0.56 = $80. Adding 44% to $44.80 gives $64.51, which is not the answer — the percentage is of the larger number, so the reverse operation is a division.

Related

Worked out already

The same calculator with the numbers filled in. Each one computes on the server, so the answer is in the page rather than waiting on a click.

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