Discount Calculator
Calculate sale prices and savings from discounts. Enter values for instant results with step-by-step formulas.
Formula
Sale Price = Original × (1 - Discount Rate)
Calculate the sale price by subtracting the discount percentage from 100%, then multiplying by the original price. Alternatively: Sale Price = Original - (Original × Discount%).
Worked Examples
Example 1: Standard Percentage Discount
Problem:A jacket originally priced at $150 is on sale for 35% off. What's the sale price and savings?
Solution:Step 1: Calculate discount amount\nDiscount = Original × Rate\nDiscount = $150 × 0.35 = $52.50\n\nStep 2: Calculate sale price\nSale Price = Original - Discount\nSale Price = $150 - $52.50 = $97.50
Result:You save $52.50 and pay $97.50
Example 2: Finding the Discount Percentage
Problem:A TV was $800, now $560. What's the discount percentage?
Solution:Step 1: Calculate savings\nSavings = $800 - $560 = $240\n\nStep 2: Calculate percentage\nDiscount % = (Savings ÷ Original) × 100\nDiscount % = ($240 ÷ $800) × 100\nDiscount % = 0.30 × 100 = 30%
Result:The TV is 30% off
Example 3: Stacked Discount Calculation
Problem:A $200 item has 25% off, plus an extra 15% off with a coupon. What's the final price?
Solution:Step 1: Apply first discount (25%)\nAfter 25% off: $200 × (1 - 0.25) = $150\n\nStep 2: Apply second discount (15%) to new price\nAfter 15% off: $150 × (1 - 0.15) = $127.50\n\nNote: This is NOT 40% off!\n40% off $200 would be $120\nActual total discount: ($200 - $127.50) ÷ $200 = 36.25%
Result:Final price: $127.50 (36.25% total discount, not 40%)
Frequently Asked Questions
How do I calculate a discount percentage?
To calculate a discount: Discount Amount = Original Price × (Discount Percentage ÷ 100). For example, 25% off $80: $80 × 0.25 = $20 discount. Final price = $80 - $20 = $60. To find the discount percentage from prices: ((Original - Sale) ÷ Original) × 100. If something drops from $80 to $60: (($80 - $60) ÷ $80) × 100 = 25% off.