Find the sale price, amount saved, original price before discount, and what % off was applied — instantly, with full step-by-step working and a bulk discount table.
Enter the original price and the discount percentage to find the final sale price and exactly how much you save.
Know the original price and what you paid? Find out exactly what percentage off was applied to the item.
Know the sale price and the discount % applied? Reverse-calculate to find the original price before the discount.
| % Off | Multiplier | Amount Saved | Sale Price |
|---|
A percent off (or percentage discount) calculation tells you the final price after a reduction, how much money you save, and what fraction of the original price you're actually paying. Whether you're comparing sale tags in a store, evaluating an online deal, applying a coupon code, or budgeting for a purchase, our percent off calculator gives you the complete picture in one step.
The tool has three modes: find the sale price from the original price and discount %, find what % off was applied when you know both prices, and reverse-calculate the original price before a discount was applied.
Sale Price = Original Price × (1 − % Off ÷ 100)
Equivalent: Sale Price = Original Price − (Original Price × % Off ÷ 100)
Amount Saved = Original Price × (% Off ÷ 100)
Or simply: Amount Saved = Original Price − Sale Price
Original Price = Sale Price ÷ (1 − % Off ÷ 100)
Use this when you see a sale tag and want to know what the item originally cost.
Original price: $120 | Discount: 30% off
Step 1 — Amount saved: $120 × (30 ÷ 100) = $120 × 0.30 = $36
Step 2 — Sale price: $120 − $36 = $84
Or directly: $120 × (1 − 0.30) = $120 × 0.70 = $84
Sale price: $63 | Discount applied: 30% off
Original: $63 ÷ (1 − 30 ÷ 100) = $63 ÷ 0.70 = $90
Verify: $90 × 0.70 = $63 ✓
A common retail trick is applying two successive discounts — for example, "20% off, then an extra 15% off." Many shoppers assume this equals 35% off total. It doesn't — sequential discounts are not additive.
Example: $200 item — 20% off, then 15% off on the reduced price.
Step 1: $200 × 0.80 = $160 (after first 20% off)
Step 2: $160 × 0.85 = $136 (after second 15% off)
Total saved: $200 − $136 = $64 | Effective discount: $64 ÷ $200 × 100 = 32% total — not 35%.
Formula: Combined % Off = 100 − ((1 − D1÷100) × (1 − D2÷100) × 100)
These are mathematically identical. A product marked "25% off" has undergone a 25% price decrease. The only difference is context: "percent off" is the retail/shopping term, while "percentage decrease" is the general mathematical term. The formulas, results, and step-by-step working are the same for both.
| Discount | You Pay | On $100 | On $200 | On $500 |
|---|---|---|---|---|
| 10% off | 90% of price | $90 | $180 | $450 |
| 15% off | 85% of price | $85 | $170 | $425 |
| 20% off | 80% of price | $80 | $160 | $400 |
| 25% off | 75% of price | $75 | $150 | $375 |
| 30% off | 70% of price | $70 | $140 | $350 |
| 40% off | 60% of price | $60 | $120 | $300 |
| 50% off | 50% of price | $50 | $100 | $250 |
| 60% off | 40% of price | $40 | $80 | $200 |
| 75% off | 25% of price | $25 | $50 | $125 |
| Item | Original Price | % Off | Sale Price | You Save |
|---|---|---|---|---|
| Running shoes | $150 | 30% | $105 | $45 |
| Laptop | $999 | 15% | $849.15 | $149.85 |
| Winter jacket | $280 | 40% | $168 | $112 |
| Annual software plan | $120/yr | 25% | $90/yr | $30/yr |
| Restaurant bill | $85 | 10% | $76.50 | $8.50 |
| Furniture set | $1,800 | 35% | $1,170 | $630 |
Common questions about calculating discounts and sale prices
Sale Price = Original Price × (1 − % Off ÷ 100). Example: 30% off $80 → $80 × (1 − 0.30) = $80 × 0.70 = $56. Amount saved = $80 − $56 = $24. Use the calculator above for instant results with full working shown.
Formula: Original Price = Sale Price ÷ (1 − % Off ÷ 100). Example: a product costs $70 after a 30% discount → $70 ÷ 0.70 = $100. Switch to the "Find Original Price" tab in the calculator above to do this instantly.
Formula: % Off = ((Original − Sale Price) ÷ Original) × 100. Example: original $120, paid $90 → ((120−90) ÷ 120) × 100 = 25% off. Use the "Find % Off Applied" tab in the calculator above.
Yes — exactly. When something is 20% off, you pay 100% − 20% = 80% of the original price. This is the multiplier method: Sale Price = Original × 0.80. For 30% off you pay 70%, for 50% off you pay 50%, and so on. The multiplier = 1 − (% Off ÷ 100).
No — sequential discounts are not additive. 20% off followed by 10% off equals: (1 − 0.20) × (1 − 0.10) = 0.80 × 0.90 = 0.72 → you pay 72%, which means 28% off total, not 30%. The combined formula is: Combined % Off = 100 − ((1−D1÷100) × (1−D2÷100) × 100).
Yes — mathematically identical. A 25% price decrease = 25% off. "Percent off" is the retail/shopping term; "percentage decrease" is the general mathematical term. Both use the same formula and produce the same results. See our dedicated percentage decrease calculator for general (non-shopping) contexts.
50% off means the price is halved. You pay exactly half the original price. A $200 item at 50% off costs $100. Amount saved = $100. It is the simplest discount to calculate mentally — just divide the original price by 2.
For 20% off: find 10% first (move decimal one place left), then double it. Example: $85 → 10% = $8.50 → 20% = $17.00 → Sale price = $85 − $17 = $68. For 15% off: find 10% + half of 10% (5%). For 25% off: divide by 4. For 30%: find 10% and multiply by 3.