Discount Calculator — Sale Price & Savings in Dollars
See exactly what a sale is worth. Enter the original price and the discount — a percent, a flat dollar amount, or stacked percents — to get the amount you save and the price you actually pay, or flip it around and work out the percent from a sale price.
Your discount
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What you pay
- Final price = original × (1 − percent ÷ 100): the $80 jacket at 25% off costs $60.00 and saves $20.00.
- Stacked discounts multiply, they do not add — 20% off then an extra 10% off is 28% off in total, not 30%.
- It works backwards too: a $200 pair of shoes on sale for $150 is a 25% discount.
See exactly what a sale is worth. Enter the original price and the discount — a percent, a flat dollar amount, or stacked percents — to get the amount you save and the price you actually pay, or flip it around and work out the percent from a sale price.
Price before vs. after
The coral bar is the original price; the amber bar is what leaves your wallet. Both redraw from your inputs.
Keep exploring
Three companion tools for shopping math.
How it works
Three steps from price tag to checkout number.
Enter the original price
The full price before any discount — the number on the tag.
Add the discount
The percent off, a flat dollar amount, stacked extra percents — or the sale price if that is what the store shows you.
Read your savings
The final price, the dollars saved, and the percent — all three, side by side.
The math behind the discount
A percent-off discount takes a slice of the original price away. The discount amount is the original price times the percent; whatever remains is the final price. In reverse, the percent is the savings divided by the original price.
Worked examples:
| Scenario | Calculation | Result |
|---|---|---|
| $80 jacket, 25% off | 80 × 0.25 = 20.00 off; 80 − 20.00 | Pay $60.00 · save $20.00 |
| $49.99 headphones, 15% off | 49.99 × 0.15 = 7.50 off; 49.99 − 7.50 | Pay $42.49 · save $7.50 |
| $100 shirt, 20% off then extra 10% off | 100 × 0.80 × 0.90 = 72.00 | Pay $72.00 · save 28% in total |
| $200 shoes on sale for $150 | (200 − 150) ÷ 200 × 100 | Discount = 25% |
Go deeper
Two traps that make sale prices look better than they are.
“Extra 20% off the sale price” sounds like the two percents add. They do not — each discount applies to what is left:
- Example: $100 item, 20% off → $80. Extra 10% off → $72. Total saving: 28%, not 30%.
- Why: the second percent is taken from the already-discounted price, a smaller base.
- How to check: in the % off mode above, tap “+ Stack another discount” for each extra percent — the Discount percent result shows the true combined rate.
- Rule of thumb: stacked percents always total less than their sum.
At the register, the discount usually comes off before sales tax is calculated:
- Standard order: original price − discount = taxable amount; tax is charged on that lower figure.
- Coupon exception: some manufacturer coupons are treated as a payment method, so tax is charged on the full price — store coupons usually reduce the taxable amount.
- Why it matters: on a $1,000 purchase at 8% tax, a 20% discount saves $200 plus $16 of tax you never pay.
- Check your total: use the sales tax calculator with the discounted price for the true out-the-door number.
What a discount is
One slice off the tag — and three names for the same arithmetic.
A discount is money taken off a price before you pay it. Stores quote it two ways — a percent off (“25% off”) or an amount off (“$20 off”) — but underneath, every discount is the same triangle of three numbers: the original price, the saving, and the sale price you actually hand over. Give any honest percent off calculator two corners of that triangle and it can find the third, which is exactly what the tool above does in its three modes.
The relationships are fixed. The saving is the original price multiplied by the rate; the sale price is what remains. At 25% off the $80 jacket at the top of this page, the saving is $20.00 and the sale price is $60.00 — the tool’s own default example. Whether a shop calls it a discount calculator, a percentage discount calculator or a discount percentage calculator, and whether the tag says percent off or percentage off, the arithmetic never changes: a percentage of the original price is removed, and you pay the rest.
The tool’s three modes are that triangle viewed from three sides. “$20 off” an $80 jacket and “25% off” an $80 jacket are the same discount in two labels — the amount mode and the percent mode both land on $60.00 — and the sale-price mode reads any pair of prices back into the percent. Use whichever mode matches what the tag in front of you actually tells you.
Two cautions belong at the start. First, the discount is not the sale price — “25% off” and “25% of the price” are opposite ends of the triangle. Second, the discount on this page is always taken before sales tax, which is how most registers apply it; the tax question gets its own section below.
How to calculate a discount
Two methods, one answer — plus the formula, stated once and used everywhere.
If you want to know how to calculate discount amounts with nothing but the tag and a phone calculator, there are two honest routes, and they meet at the same number. Take a $120 pair of shoes at 25% off.
The two-step method. First find the saving: $120 × 0.25 = $30.00. Then subtract it: $120 − $30 = $90.00. This is the method to use when you want to see the saving as a number in its own right — it is the “Discount amount” line in the results above.
The one-step method. At 25% off you pay 75% of the price, so multiply by what remains: $120 × 0.75 = $90.00. One multiplication, no subtraction — the faster route at the till, and the one worth memorising: at p% off, you always pay (100 − p)% of the tag.
The discount formula
That single line is the discount formula the whole page runs on. The third part is the one to reach for when a tag shows two prices and no percent: it is how to calculate discount percentage from the prices alone — a $200 item selling for $150 has a saving of $50, and 50 ÷ 200 × 100 = 25% off. Anyone looking up how to calculate discount percentage formula-style is usually after that reverse version; it gets a full workout in the section on finding the original price.
One distinction keeps shoppers honest: percent off is not percentage points. When a store already selling at 20% off offers “an extra 5% off”, that 5% is a percent of the reduced price — a stack, as the stacked-discounts section shows — not five points added to the rate. On a $60 item, 20% off then an extra 5% off leaves $45.60, while a straight 25% off would leave $45.00. The 60-cent gap between those two readings is exactly the gap between percents and points, and it grows with the price.
How to calculate 20 percent off, in your head
Twenty percent is the sale-season workhorse, and it has a shortcut: find 10% (move the decimal one place left), then double it. On $86, 10% is $8.60, so 20% off is $17.20 and you pay $68.80. Build from the same 10% block and you know how to calculate percentage off for any tag: halve the 10% block for 5%, add blocks for 15%, 30%, 35% and the rest.
One label to watch. A discount rate calculator in finance is a different instrument — there, the discount rate is the interest rate used to shrink future money into today’s value, and it belongs with the finance calculators. Everywhere on this page, discount rate means only the percent off the tag.
Percent-off, worked: the sums people actually search
Straight answers first, then the grid they come from.
Most visits to a percentage off calculator are one specific sum wearing a price tag. Here is how to calculate percent off for the eight most-searched ones, answered directly — each is the formula from the section above, run once:
| The sum, as searched | You save | You pay |
|---|---|---|
| 20% off 40 | $8.00 | $32.00 |
| 30% off 40 | $12.00 | $28.00 |
| 40% off 45 | $18.00 | $27.00 |
| 20% off 200 | $40.00 | $160.00 |
| 40% off $30 | $12.00 | $18.00 |
| 30% off 20 | $6.00 | $14.00 |
| 20% off $20 | $4.00 | $16.00 |
| 20% off 120 | $24.00 | $96.00 |
Every answer computed from the same formula the calculator runs: saving = price × rate, pay = price − saving.
And here is the same arithmetic opened out into a grid, so any nearby sum can be read off or checked. Rows are the tag price, columns are the percent off, and every cell is the price you pay:
| Price | 10% off | 20% off | 25% off | 30% off | 40% off | 50% off |
|---|---|---|---|---|---|---|
| $20.00 | $18.00 | $16.00 | $15.00 | $14.00 | $12.00 | $10.00 |
| $30.00 | $27.00 | $24.00 | $22.50 | $21.00 | $18.00 | $15.00 |
| $40.00 | $36.00 | $32.00 | $30.00 | $28.00 | $24.00 | $20.00 |
| $45.00 | $40.50 | $36.00 | $33.75 | $31.50 | $27.00 | $22.50 |
| $50.00 | $45.00 | $40.00 | $37.50 | $35.00 | $30.00 | $25.00 |
| $60.00 | $54.00 | $48.00 | $45.00 | $42.00 | $36.00 | $30.00 |
| $80.00 | $72.00 | $64.00 | $60.00 | $56.00 | $48.00 | $40.00 |
| $90.00 | $81.00 | $72.00 | $67.50 | $63.00 | $54.00 | $45.00 |
| $100.00 | $90.00 | $80.00 | $75.00 | $70.00 | $60.00 | $50.00 |
| $120.00 | $108.00 | $96.00 | $90.00 | $84.00 | $72.00 | $60.00 |
| $200.00 | $180.00 | $160.00 | $150.00 | $140.00 | $120.00 | $100.00 |
Each cell is the price you pay. The saving is the row price minus the cell — at 25% off $80, you pay $60.00 and keep the $20.00 difference.
A price that is not a row can still be read from the grid by scaling. Halve the $70 row’s neighbour: 20% off $35 is half of 20% off $70 ($56.00), so you pay $28.00. Double upwards the same way: 30% off $160 is the $80 row at twice the price, so you pay $112.00. And a missing percent is often the midpoint of two present ones — 15% off $60 sits halfway between the 10% cell ($54.00) and the 20% cell ($48.00), at $51.00.
The full grid — 5% to 75% off prices from $10 to $500 — is in the Percent Off Table guide in the Related guides below. Between the quick answers, this grid and the calculator itself, any percent-off sum has somewhere honest to land.
Stacked discounts: why 20% + 10% is not 30%
The percents multiply — and that is always worse for you than adding.
“Extra 10% off the sale price” is the most expensive sentence in retail, because the two percents do not add. Each discount applies to what is left after the one before it. On a $100 item: 20% off takes it to $80.00; the extra 10% is then 10% of $80, not of $100, so it takes off $8.00 and leaves $72.00. Your total saving is $28.00 — an effective 28% off, not the 30% the signage invites you to assume.
The bigger the percents, the wider the gap. “50% off, plus an extra 20% off” sounds like 70%. On $80 it runs $80 → $40.00 → $32.00: a real saving of $48.00, which is 60% — a full ten points short of the headline the two numbers suggest when added.
The combined rate is one line: 1 − (1 − p₁) × (1 − p₂). For 20% and 10% that is 1 − 0.80 × 0.90 = 1 − 0.72 = 0.28. Order makes no difference — multiplication commutes, so 10% then 20% lands on the same $72.00. A third stack widens the illusion further: 20% + 10% + 5% on $100 sounds like 35% off, but it runs $100 → $80 → $72 → $68.40, an effective 31.6%. The calculator above does stacked sums natively: in % off mode, use “+ Stack another discount” for each extra percent and read the true combined rate in the Discount percent result. The Go deeper panel at the top of this guide makes the same point from the shopper’s side; this is the arithmetic underneath it.
Discount, then tax: the order at the till
Which one is applied first — and the one coupon that flips it.
In most US practice, the discount comes off first and sales tax is charged on the reduced price. That order is worth money to you, because tax you never owe is tax you never pay. Here is one coat, one discount and one tax rate, run honestly in both orders:
| Receipt line | Discount first (standard) | Tax first (manufacturer coupon) |
|---|---|---|
| Coat, original price | $250.00 | $250.00 |
| Sale discount, 25% off | −$62.50 | −$62.50 |
| Price the tax is charged on | $187.50 | $250.00 |
| Sales tax at 8% | $15.00 | $20.00 |
| You pay | $202.50 | $207.50 |
Same coat, same discount, same tax rate — a $5.00 difference created purely by the order the two operations are applied in.
The exception is the manufacturer’s coupon. A store’s own coupon or sale price reduces what the item is sold for, so it reduces the tax with it. A manufacturer’s coupon is widely treated instead as a form of payment — the store is reimbursed by the manufacturer — so in many states the tax is still charged on the full price, the right-hand column above. The difference on the coat is $5.00; on a smaller ticket it shrinks but never vanishes: a $120 jacket at 20% off with 6.25% tax totals $102.00 discount-first against $103.50 tax-first.
Mail-in rebates sit outside the question entirely: the money arrives weeks after the sale, so the tax was charged on whatever you paid at the till, rebate or no rebate. Rules otherwise vary by state and by coupon type, and the register has the final word — the Disclaimer below says as much. For your own receipt, take the final price from this page and run it through the Sales Tax Calculator at your local rate; that pairing, used in the register’s order, is the whole method.
Finding the original price
Run the formula backwards: sale price ÷ (1 − rate).
How to find the original price of a discounted item is the reverse trip along the same formula. If you paid the sale price at p% off, then what you paid is (100 − p)% of the original — so divide by that fraction to climb back. Paid $63.00 at 30% off? You paid 70% of the original, and $63 ÷ 0.70 = $90.00. Check it forwards: $90 × 0.70 = $63. Paid $45.00 at 25% off? $45 ÷ 0.75 = $60.00. That is all there is to how to find original price after discount: one division, then the forward check.
| You paid | At this % off | The original price was |
|---|---|---|
| $63.00 | 30% | $90.00 |
| $45.00 | 25% | $60.00 |
| $85.00 | 15% | $100.00 |
| $27.99 | 30% | $39.99 |
Each row is the division run once: what you paid, divided by the share of the price you actually paid.
The same trick audits the tag itself. A ticket that claims “40% off — now $41.99” implies an original of $41.99 ÷ 0.60 ≈ $69.99. If the printed “was” price is $59.99, the claim fails its own arithmetic: 40% off $59.99 would be $35.99, and at $41.99 the true discount is 30%, not 40%. Stores lean on the “was” price because it frames the saving; the reverse division is how you frame it back. (Whether a “was” price was ever genuinely charged is a question about the store’s history, not its arithmetic — this check only proves whether the numbers on the tag agree with each other.)
Trade and cash discounts: the same word, in a suit
What “discount” means when businesses sell to each other.
Between businesses, the word does two other jobs, and both still run on this page’s formula. A trade discount is the cut from a catalogue list price offered to resellers and trade buyers: a $500 list price at a 40% trade discount is a $300 invoice price — the discount never appears as a sale, it simply is the trade price. Trade discounts also come in chains (“30/10”): $500 × 0.70 × 0.90 = $315.00, an effective 37% — stacked percents again, multiplying rather than adding, in a business suit.
A cash discount is a small percent offered for paying an invoice early, written as terms like “2/10 net 30”: 2% off if you pay within 10 days, the full amount due in 30. On a $1,000 invoice that is $20.00 saved by paying on day 10 instead of day 30. Put the other way, skipping it means paying 2% to borrow the money for 20 extra days — an annualised cost of about 36.7% ((2 ÷ 98) × (360 ÷ 20)), which is why businesses guard the discount date so carefully. Neither cousin changes the arithmetic above; they only change who is taking the percent, and why.
Discounts that depend on who you are
Senior, student, military and disability discounts use the same math. Eligibility is the part that differs.
Most discounts depend on what you buy. Some depend on who you are. A senior discount, a student discount, a military discount and a disability discount are all worked out with the same arithmetic as any percent-off sale: saving equals price times percent, and you pay what remains. What differs is eligibility: who qualifies, what proof is needed, and whether the discount applies automatically or must be asked for. In most shops these discounts are voluntary offers set by the seller, so the seller decides the age or status that qualifies, the proof it accepts, and the items the discount covers. Ask before paying, and carry the proof the seller asks for: a student card, a military ID, or whatever the offer names. A discount that is not asked for is usually a discount that is not given.
The exception is where the discount is set by law. In the Philippines, senior citizens and persons with disability have a statutory discount on covered goods and services for their personal use: 20% off, with VAT exemption, under Republic Act 9994 for senior citizens aged 60 and over, and Republic Act 10754 for persons with disability. The computation order matters there: where VAT applies, the VAT is removed first, then the 20% is taken off the VAT-free price. On a price that already includes 12% VAT, divide by 1.12 to remove the VAT, then take 20% off the result. The discount applies only to covered items, only for the qualified person’s own use, and proof is required: a senior citizen ID or a PWD ID. Check the current official rules for exactly what is covered, because coverage and caps for some goods change.
Three questions settle most cases. First, who decides: the seller’s own offer, or a law? Second, what proof is needed, and is it needed every time? Third, does the discount stack with a sale price or a coupon, or must you take the better of the two? Sellers commonly allow only one discount on a purchase, so compare the discounted price both ways before paying. The same three questions apply to teacher discounts, youth discounts and other status offers: the percent is the easy part, and the terms are where the money is.
| Question | Voluntary offer | Statutory discount (Philippines) |
|---|---|---|
| Who decides? | The seller | The law (RA 9994 / RA 10754) |
| Who qualifies? | Whoever the offer names | Senior citizens 60 and over; persons with disability |
| How much? | Whatever the offer states | 20%, with VAT exemption, on covered items |
| Proof needed? | As the offer requires | Senior citizen ID or PWD ID |
| Stacking? | Seller’s terms decide | Check the current official rules |
Frequently asked questions
Quick answers about discounts and sale prices.
How do I calculate a discount?
Multiply the original price by the discount percent to find the saving, then subtract it. At 25% off $80: 80 × 0.25 = $20.00 off, so you pay $60.00. In one step, multiply by what remains: 80 × 0.75 = $60.00.
What is 20% off $40?
You pay $32.00. The saving is 40 × 0.20 = $8.00, and $40 − $8 = $32.
How do I calculate percent off?
Take the percent away from 100 and multiply: at p% off you pay (100 − p)% of the price. So 20% off $50 means paying 80% of $50, which is $40.00. The calculator above runs exactly that line.
Is tax calculated before or after a discount?
Usually after: a store discount lowers the price first and tax is charged on what remains. The common exception is a manufacturer’s coupon, which many states treat as a payment — the tax is then charged on the full price.
How do I find the original price after a discount?
Divide the sale price by (1 − rate). Paid $63.00 at 30% off? You paid 70% of the original, so $63 ÷ 0.70 = $90.00 was the original price.
What is the discount formula?
Saving = original price × (rate ÷ 100), and sale price = original × (1 − rate ÷ 100). Run the same line backwards — rate = saving ÷ original × 100 — to find the percent from two prices.
How much is 30% off $90?
You save $27.00 and pay $63.00: 90 × 0.30 = $27.00 off, and $90 − $27 = $63.
Do stacked discounts add up (20% + 10% = 30% off)?
No. Each percent applies to what is left: $100 at 20% off is $80, and 10% off that is $72 — a 28% total saving, not 30%.
What is the difference between a discount and a sale price?
The discount is what comes off — a percent or an amount. The sale price is what remains, and what you pay. At 25% off $80, the discount is $20.00 and the sale price is $60.00.
How do I calculate 25% off?
25% is a quarter: divide the price by 4 to get the saving, then subtract. On $68, that is $17.00 off and you pay $51.00 — or multiply by 0.75 in one step.
How do I work out the discount between two prices?
Divide the saving by the original price. If a price falls from $60 to $45, the saving is $15, and $15 divided by $60 is 0.25, so the discount is 25%. The original price is always the divisor: the discount is measured against what you would have paid, not against the sale price.
What is the difference between a discount, a markup and a margin?
A discount is taken off a selling price. A markup is added to a cost: a $40 cost marked up by 25% sells for $50. A margin is profit as a share of the selling price: the same $10 of profit on a $50 price is a 20% margin. Same $10, three different bases, which is why the three figures are never interchangeable.
Do senior or student discounts apply automatically?
Usually not. Most are offers you must ask for, with proof shown at the till. Statutory discounts work differently: where the law grants the discount, the seller must honour it for a qualified person with the required ID, but the ID is still needed. Check the terms before paying, including whether the discount can be combined with a sale price.
Related guides
Three guides that start where the calculator stops: the same sums done in your head, the discount-and-tax order worked on real receipts, and the full percent-off table.
Percent Off in Your Head
The 10% anchor method, quarter and half shortcuts, and how to check a sale tag’s percent at the till.
🧾Discount and Tax: Which Comes First?
One receipt worked both ways, the manufacturer-coupon exception, and why the order is worth money.
📋Percent Off Table
5% to 75% off prices from $10 to $500 — every cell computed, plus the most-searched sums answered outright.
🏷️Senior, Student and Disability Discounts
Who qualifies, and how the discount is worked out.
Related calculators
More tools for everyday money math.
Disclaimer
This calculator is for information only. Store policies on stacking discounts, coupons, and how tax applies vary by retailer and state; the price at the register is the final word. Prices shown exclude sales tax unless you add it separately.