Discount Calculator
Free discount calculator. Find sale price, discount amount, and savings percentage from any original price and discount rate.
Discount Calculator
Formula: Sale Price = Original Price × (1 − Discount/100)
Comprehensive Guide & Practice
Master the mathematical principles, formulas, and step-by-step methods with worked examples and FAQs.
1. How to Calculate a Discount
A discount is a reduction in the original price of an item. Discounts are expressed as a percentage — "30% off" means you pay only 70% of the original price.
Formula: Sale Price = Original Price × (1 − Discount Rate)
For example, a 30% discount on a $80 item: Sale Price = $80 × (1 − 0.30) = $80 × 0.70 = $56. You save $24.
2. Finding the Discount Percentage
If you know the original and sale price: Discount% = ((Original − Sale) ÷ Original) × 100. Example: from $100 to $75: ((100 − 75) ÷ 100) × 100 = 25% off.
See also: Percentage Calculator | Tip Calculator | Percentage Change Guide