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Discount, markup and margin calculator

Sale price after one or more percent-off discounts, and selling price from cost using a markup or a profit margin, with each converted to the other.

更新日 検証済みの例：7

$
Applied one after another: 20, 10 means 20% off, then 10% off the reduced price.
試す
Final price
$
Final price: $180.00
小数点以下の桁数：2；最も近い値へ、等距離なら末尾が偶数の値へ
Amount off
$70.00
Effective discount
28%

You pay $180.00, saving $70.00 — an effective discount of 28%. That is less than the 30% you get by adding the discounts, because each one applies to an already reduced price.

Price after each discount

Original: $250$250OriginalAfter 20%: $200$200After 20%After 10%: $180$180After 10%
計算方法 S

  1. Apply each discount to the running price

    250×(1−0.2)×(1−0.1)=180.00250 \times (1 - 0.2) \times (1 - 0.1) = 180.00

  2. Effective discount

    (1−0.8×0.9)×100=28%\left(1 - 0.8 \times 0.9\right) \times 100 = 28\%

    Stacked discounts multiply, so 20% + 10% off is 28%, not 30%.

Discount, markup and margin calculatorについて

Each discount multiplies the running price by (1 − d/100), so stacked discounts compound rather than add. For pricing, markup is profit as a percentage of cost and margin is profit as a percentage of the selling price. The calculator finds the selling price from either one and converts between them with margin = markup ÷ (1 + markup).

With the defaults, 20% off 250 followed by a further 10% off leaves 180: an effective discount of 28%, not 30%. In the pricing modes, an item that costs 80 and is marked up 25% sells for 100, which is a 20% margin.

A margin must stay below 100%, since a 100% margin would mean the item cost nothing, while a markup has no upper limit. All figures are per item, before any sales tax or VAT.

計算例

250 with 20% then 10% off

求めたいもの
Price after discounts
Original price
250
Discounts (%)
20, 10
Final price
180.00
Amount off
70.00
Effective discount
28%

照合元：Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%

Two 50% discounts are 75% off, not 100%

求めたいもの
Price after discounts
Original price
100
Discounts (%)
50, 50
Final price
25.00
Effective discount
75%

照合元：Python decimal: 100 × 0.5 × 0.5 = 25

No discount

求めたいもの
Price after discounts
Original price
250
Discounts (%)
0
Final price
250.00
Effective discount
0%

照合元：Definition: 0% off leaves the price unchanged

Cost 80 with 25% markup

求めたいもの
Price from cost and markup
Cost
80
Markup (on cost)
25%
Final price
100.00
Margin
20%
Profit per item
20.00

照合元：Python decimal: 80 × 1.25 = 100; 20/100 = 20% margin

よくある質問

How do you calculate a percentage discount?

Multiply the price by (1 − discount ÷ 100). 20% off 250 is 250 × 0.8 = 200, a saving of 50. To find the discount from two prices, divide the saving by the original price: an item cut from 250 to 180 is 70 ÷ 250 = 28% off.

Is 20% off plus an extra 10% off the same as 30% off?

No. The second discount applies to the already reduced price, so 20% then 10% off is 1 − 0.8 × 0.9 = 28% off in total. Two 50% discounts leave a quarter of the price, which is 75% off rather than 100%. The order does not matter: 10% then 20% also gives 28%.

What is the difference between markup and margin?

Markup is profit divided by cost; margin is profit divided by the selling price. An item that costs 70 and sells for 100 makes 30 profit: a 42.9% markup and a 30% margin, the pairing AccountingTools uses in its explanation. Margin is always the smaller of the two, and a markup m converts to a margin of m ÷ (1 + m).

What markup gives a 50% margin?

A 100% markup: doubling the cost makes the profit equal to the cost, which is half the selling price. In general markup = margin ÷ (1 − margin), so a 20% margin needs a 25% markup, a 40% margin needs 66.67%, and a 60% margin needs 150%.

How do you find the selling price from cost and margin?

Divide the cost by (1 − margin). A cost of 60 at a 40% margin sells for 60 ÷ 0.6 = 100. Adding 40% to the cost instead gives 84, which is only a 28.57% margin; confusing the two percentages underprices every item.

「Discount, markup and margin calculator」の精度はどのくらいですか？

精度は入力値と計算方法の前提に依存します。十進演算には有効数字50桁を使いますが、推定、数値計算手法、元データの精度はそれより低い場合があります。表示の丸め処理でこれらの制約がなくなるわけではありません。 独立した出典の解答と照合した計算例：7。 例えば、「250 with 20% then 10% off」はPython decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%と照合しています。

この計算方法の出典は何ですか？

AccountingTools — The difference between margin and markup; Corporate Finance Institute — Markup and markup percentage.

この計算機について

Pfinal=P∏i(1−di100)margin=markup1+markupmarkup=margin1−margin\begin{gathered}P_{\text{final}} = P\prod_i\left(1 - \frac{d_i}{100}\right) \\ \text{margin} = \frac{\text{markup}}{1 + \text{markup}} \\ \text{markup} = \frac{\text{margin}}{1 - \text{margin}}\end{gathered}

出典

  1. AccountingTools — The difference between margin and markup
  2. Corporate Finance Institute — Markup and markup percentage

出典と照合済み

この計算機には、独立した出典の解答を使った計算例が 7 件あります。テストに組み込まれており、ここでも実行できます。

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