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Discount Calculator with Steps

Calculate a discount online — free and step by step. Find the final price and savings after a discount, or the discount percentage from original and sale price.

Quick answer
How do you calculate a discount?
The discount amount is price · discount rate ÷ 100, and the final price is the price minus that amount. Example: 25% off $80 is 80 · 25 ÷ 100 = $20 saved, so a final price of $60. If you only know the original and sale price, the discount percent is (original − sale) ÷ original · 100 — from $80 to $60 that's 25%.
The tool

Enter values — get full working

What does it cost after the discount?
Comma or dot as decimal separator, negative values allowed.
Step-by-step
Press Calculate to see every step.
HowTo

How to calculate a discount — 4 steps

Using “25% off $80” — final price and savings
  1. 1
    Step 1 of 4

    Note the original price and discount rate

    Write down what the item costs without a discount (the original price, 100%) and the discount percentage. Example: original price $80, discount 25%.

  2. 2
    Step 2 of 4

    Compute the discount amount

    Multiply the price by the discount rate and divide by 100: 80 · 25 ÷ 100 = 2000 ÷ 100 = $20. That's the saving in dollars.

  3. 3
    Step 3 of 4

    Subtract it from the price

    Final price = original price − discount amount: $80 − $20 = $60. A shortcut is the factor: at 25% off you pay 75%, so 80 · 0.75 = $60.

  4. 4
    Step 4 of 4

    Check and state the result

    Sanity check: 25% is a quarter, and a quarter of 80 is 20 — that fits. You save $20 and pay $60.

Examples

Discount calculation — worked examples

Typical sale offers with the full working
25% off $80
80 · 25 ÷ 100 = 20
80 − 20
$60
30% off $49
49 · 30 ÷ 100 = 14.70
49 − 14.70
$34.30
10% off $120
120 · 10 ÷ 100 = 12
120 − 12
$108
$80 → $60 (discount %)
(80 − 60) ÷ 80 · 100
25%
$200 → $150 (discount %)
(200 − 150) ÷ 200 · 100
25%
15% off $39.90
39.90 · 15 ÷ 100 = 5.99
39.90 − 5.99
$33.92
Theory

What is a discount? — definition and formula

A discount is a percentage reduction off the original price. The original price is 100%; the discount rate says what share of it is taken off. There are two basic problems. First: the final price and saving given a known discount rate. The discount amount (the saving) is price · discount rate ÷ 100, and the final price is price − discount amount. More elegantly, use the remaining factor: at p% off you pay (100 − p)%, that is price · (1 − p ÷ 100). At 25% off the factor is 0.75. Second: find the discount percent from the original and sale price. That is the saving divided by the original price, times 100: (original − sale) ÷ original · 100. Discounts are pure percentage arithmetic and show up in clearance sales, bulk discounts, early-payment terms, and promotional prices. Important: stacked discounts multiply, they do not add — 20% then another 10% gives 0.8 · 0.9 = 0.72, a 28% total discount, not 30%.

Pitfalls

Common discount mistakes

Adding discounts

20% then another 10% is not 30%. The second discount applies to the already reduced price: 0.8 · 0.9 = 0.72 → 28%.

Wrong reference value

A discount is always relative to the original price. From $80 to $60 is 25% off — measured against $60 it would look like 33%, but that's the wrong base.

Confusing saving with final price

At 25% off $80 the saving is $20 and the final price is $60. Ask whether the problem wants the reduction or the amount to pay.

Forgetting the hundredth

25% means 25 ÷ 100 = 0.25, not 25. Computing 80 · 25 gives a hundred times the discount.
FAQ

Frequently asked questions about discounts

Glossary

Glossary — key terms explained simply

Original price
The price before any discount — the whole, equal to 100%.
Discount rate
The reduction in percent, e.g. 25%.
Discount amount
The saving in money: price · discount rate ÷ 100.
Final price
The price to pay after the discount is taken off.
Remaining factor
(1 − discount rate ÷ 100). At 25% it is 0.75.
Cash discount
A discount for fast payment, usually 2–3%.