How Discount Calculation Works
A discount reduces the original price by a fixed amount or a percentage. The two most common types:
Percentage discount
Final price = original price × (1 − discount % / 100)
A 25% discount on $120: 120 × 0.75 = $90. Savings: $30.
Fixed discount
Final price = original price − discount amount
$15 off $120: 120 − 15 = $105. Savings: $15.
Adding Tax
When tax is not included in the listed price, it is applied after the discount — meaning tax is calculated on the sale price, not the original price. This benefits the buyer compared to applying tax first.
Final price = (original price − discount) × (1 + tax rate / 100)
Example: $120 item, 25% discount, 8% sales tax:
- Discounted price: 120 × 0.75 = $90
- Tax: 90 × 0.08 = $7.20
- Final price: $90 + $7.20 = $97.20
In many countries (EU, UK, Australia), prices are displayed with tax already included (VAT-inclusive). In those cases, no additional tax calculation is needed — set “Tax included? Yes” and the calculator shows the discounted price directly.
Percentage Saved
Regardless of whether the discount was percentage-based or fixed, you can always express the saving as a percentage of the original price:
Savings % = (discount amount / original price) × 100
This lets you compare deals at a glance — a “$15 off $50” offer (30% off) is better than “20% off $60” ($12 off, 20% off).
Sources
- Investopedia. Discount.
- Wikipedia. Discounts and allowances.