Sale price

Computed from default inputs using graph `synth-discount-calculator`.

Original price

100 $

A discount is a multiplication, and that single fact explains every result on this page that surprises people: the sale price is the original times (1 − discount/100), so 20 % off $80 is $80 × 0.80 = $64. The surprises live in composition. Stacked discounts multiply rather than add — 20 % off followed by an extra 30 % off is 0.80 × 0.70 = 0.56, a 44 % total reduction, not 50 % — and every retailer wording ("extra", "additional", "take another") means the second percentage applies to the already-reduced price. Sales tax, meanwhile, almost always applies after the discount in US practice, so the register math is (price × discount factor) × (1 + tax rate). The arithmetic is elementary; the ordering rules are the content.

Solve for Original price

Original price: 110 for Sale price 88

Discount and optional tax calculation.

salePrice= originalPrice- discountAmount

discountAmountoriginalPrice * discountPercent / 100
salePriceoriginalPrice - discountAmount
finalPricesalePrice * (1 + taxPercent / 100)

Sale price decision comparison

item	value	note
Stress low	0	Original price: 0
Conservative	60	Original price: 75
Downside	72	Original price: 90
Base case	80	Original price: 100
Upside	88	Original price: 110.00000000000001

Visual Analysis1 series8 points

Expanded chart built from the same sensitivity run as the table, so users can read the trend and verify the numbers in one place.

Trend

Upward

Min

Max

64.6154

Insight

Sale price shows an upward pattern, with a visible peak around 80.7692 at 64.6154.

Visual response curve for Sale price.

Clearance stacking, computed properly
A $240 coat: 30 % clearance → $168. "Extra 25 % at register" → $126. A 6 % member code → $118.44, plus 8 % tax → $127.92 charged. Total reduction from list: 50.65 % — where naive addition of 30 + 25 + 6 promised 61 % off and a $110.83 total. The $17 gap between the two mental models is the multiplication.

What percentage is 'buy one, get one 50 % off' really?
On two identical items, 25 % off the pair: you pay 1.5 units for 2. The offer's design leans on the large "50" while the blended discount is modest, and it drops further if the second item is cheaper — the 50 % conventionally applies to the lower-priced of the two.

How do I find the original price from a sale price?
Divide by the remaining fraction: sale ÷ (1 − discount/100). A jacket at $89.40 marked "40 % off" was 89.40 ÷ 0.60 = $149. This reverse calculation is also the audit tool: if the claimed original on the tag disagrees with the division, the "discount" is anchoring, not history.

Which order do a percent coupon and a dollar coupon apply in?
Order changes the outcome: 20 % then $10 on a $100 item leaves $70; $10 then 20 % leaves $72. Retail systems typically apply percentage discounts before fixed-amount coupons — the sequence favorable to the register — but the policy varies, which is why the two-coupon receipt is worth checking against this page.

Calculate sale price after a percentage discount.

Discount Calculator turns Original price, Discount percentage, and Tax percentage into Sale price, Discount amount, and Final price after tax. Confirm the units and assumptions match your situation before relying on the result.

Enter the original price. Use the pre-discount shelf or list price. For a percent-off claim you are checking, this is the advertised 'was' price.
Enter the discount rate. A fraction-off deal converts to a percentage first: 1/3 off is 33.3%, 1/4 off is 25%.
Apply stacked discounts one at a time. Each additional coupon applies to the already-reduced price, so chain the multipliers: 20% then 10% is × 0.80 × 0.90 = × 0.72, a 28% total discount.
Add sales tax after the discount. Store markdowns reduce the taxable base, so compute tax on the sale price. Manufacturer-coupon treatment varies by state — the receipt shows which base was taxed.
Compare deals on final price, not headline percentage. 30% off and $25 off break even at $83.33; above that price the percentage saves more. A larger percentage off an inflated 'original' price can still be the worse deal.

Academic performance optimization

Important: Part-time work exceeding 20 hours/week is correlated with GPA decline (BLS data).

Enter your values, then check the formula, scenarios, and FAQ to confirm the assumptions fit your case. For medical, financial, legal, or safety-critical decisions, treat the output as an estimate and verify it against the relevant professional standard.

When is this business operations context enough?
Use it when the result only depends on revenue, cost, volume and no local rule changes the interpretation.

What should I record with the result?
Record the input values, fixed vs variable cost, time period, attribution, output unit, and rounding rule used in the calculation.

When should I use a specialized modifier?
Use a specialized modifier when time period, cost classification, attribution window, and baseline definition materially changes how the same result should be explained.

Adding stacked percentages. "30 % off plus an extra 20 %" is 44 % off, never 50: the second discount acts on a smaller base. The gap widens with bigger numbers — 50 % plus 50 % is 75 % off, and no legitimate stacking reaches 100.

Reversing a discount by adding the percentage back. 80).

Discount Calculator

Verification & transparency

Additional results

Verified methodology

Data & accuracy

Privacy & ethics

Primary output (Sale price)

Calculator inputs

Mathematical model

Term Glossary