Discount Calculator
Calculate sale prices, savings, and discount percentages.
You Pay
$75.00
You Save
$25.00
Discount
25.0%
What It Does
This calculator solves all three discount problems in one place: find the <strong>final sale price</strong> given an original price and discount percent, find the <strong>original price</strong> given a sale price and discount, or find the <strong>discount percentage</strong> given both prices. Optional tax calculation applies the tax rate after the discount is applied.
Discount Formulas
When multiple discounts apply (e.g., 20% off + an extra 10% off), they are applied sequentially, not added together. A 20% discount followed by 10% off is not 30% off — it is effectively a 28% reduction: <code class="text-xs bg-zinc-100 dark:bg-zinc-800 px-1 rounded">$100 × 0.80 × 0.90 = $72</code>, not $70.
Example Calculations
Stacked Discounts
Frequently Asked Questions
- How do I calculate the final price after a percentage discount?
- Multiply the original price by (1 minus the discount rate). For example, a 25% discount on a $80 item: $80 × (1 - 0.25) = $80 × 0.75 = $60. Alternatively, calculate the discount amount ($80 × 0.25 = $20) and subtract it from the original price.
- How do I find the original price if I only know the sale price and discount percent?
- Divide the sale price by (1 minus the discount rate). For example, if an item is $60 after a 25% discount: $60 ÷ (1 - 0.25) = $60 ÷ 0.75 = $80 original price.
- How do I calculate what percentage discount I received?
- Subtract the sale price from the original price to get the savings, then divide by the original price and multiply by 100. Example: original $80, sale $60 → savings = $20 → discount % = (20 ÷ 80) × 100 = 25%.
- How does tax interact with a discount?
- Tax is typically applied after the discount. Calculate the discounted price first, then apply the tax rate to that amount. Example: $80 item with 25% off and 10% tax → $60 discounted price → $60 × 1.10 = $66 final price. Some jurisdictions apply tax before certain discounts — check local rules for retail compliance.
- What is the difference between a percentage discount and a fixed amount discount?
- A percentage discount (e.g., 20% off) scales with the price — a larger discount on more expensive items. A fixed amount discount (e.g., $10 off) is the same regardless of the original price. Percentage discounts are more common in retail; fixed discounts are typical for coupon codes and promotional credits.