Markdown math (with examples you can copy)

Markdown is the discount taken off an item’s original price. It’s used everywhere: retail sales, clearance pricing, coupons,
and even personal budgeting (“How much am I saving?”). This calculator focuses on the three numbers people actually need:

• Sale price (final price): what you pay after the markdown
• Markdown percent (%): how big the discount is relative to the original price
• Markdown amount ($): the raw dollars you save

Once you know any two of these (plus the original price), the rest can be computed instantly.

• If you know Original price and Markdown %: compute Sale price and Markdown $.
• If you know Original price and Sale price: compute Markdown % and Markdown $.
• If you know Original price and Markdown $: compute Markdown % and Sale price.

• Example 1 (percent markdown): Original $120, markdown 25% ⇒ markdown $30 ⇒ sale $90.
• Example 2 (sale price known): Original $80, sale $59.99 ⇒ markdown $20.01 ⇒ markdown 25.01%.
• Example 3 (amount markdown): Original $45, markdown $12 ⇒ sale $33 ⇒ markdown 26.67%.
• Quick check: If the markdown percent is 50%, the sale price is half the original price.

Markdown Calculator FAQs

• What is a markdown in retail?

  A markdown is a price reduction from the original (regular) price. Retailers use markdowns to run sales, clear inventory, or match competitors. Markdowns can be expressed as a percent (e.g., 30% off) or as a dollar amount (e.g., $15 off).

• How do you calculate markdown percentage?

  Markdown % = (Original Price − Sale Price) ÷ Original Price × 100. This tells you what fraction of the original price was discounted.

• How do you calculate the sale price after a markdown?

  Sale Price = Original Price − Markdown Amount. If you’re given a percentage instead, use Sale Price = Original × (1 − Markdown%/100).

• Is markdown the same as discount?

  In most shopping contexts, yes: markdown and discount both mean the price went down. In retail operations, “markdown” often refers to the official price reduction from the original ticketed price.

• Is markdown the opposite of markup?

  Yes. Markup increases price above cost (common in pricing strategy). Markdown decreases price below the original selling price (common in promotions and clearance).

• Why doesn’t 20% off plus 20% off equal 40% off?

  Because sequential discounts apply to a smaller base each time. Two 20% discounts mean you pay 0.8 × 0.8 = 0.64 of the original price, which is 36% off total.

Markdown Calculator: full guide (formula, examples, and real-world tips)

A markdown is a reduction from an item’s original price. In everyday language, it’s “the discount.” In retail operations, markdowns are tracked carefully because they affect revenue, profit, and inventory flow. For shoppers, the same math answers simpler questions: “Is this deal actually good?” and “How much am I really saving?”

The 3 core numbers

• Original price (O): the starting price before any discount.
• Sale price (S): the final price you pay after the markdown.
• Markdown amount (M): how many dollars are taken off (O − S).
• Markdown percent (P): the markdown amount as a percentage of the original price.

Even though there are four terms above, you usually know at least two. For example, online stores show an original price and a sale price, or they show “25% off.” This calculator is built so you can solve whichever value you’re missing.

Formula breakdown (the “why” behind each number)

1) Markdown amount: M = O − S

This is the simplest piece of the puzzle. If an item was $120 and is now $90, the markdown is $30. That $30 is the raw savings in your pocket.

2) Markdown percent: P = (M ÷ O) × 100 = ((O − S) ÷ O) × 100

Markdown percent answers “How big is the discount relative to the original price?” Because it’s scaled to the original price, it lets you compare deals across different price points. A $10 markdown on a $20 item (50% off) is very different from a $10 markdown on a $200 item (5% off).

3) Sale price from percent markdown: S = O × (1 − P/100)

This is the formula used on receipts and pricing systems. If something is 25% off, you pay 75% of the original. So a $120 item becomes $120 × 0.75 = $90.

4) Markdown amount from percent markdown: M = O × (P/100)

This tells you the dollar savings when you only see a percent. If a $80 item is 30% off, the markdown is $80 × 0.30 = $24 and the sale price is $56.

Examples you’ll actually use

Example A: You know original price and markdown percent.
Original price O = $120, markdown percent P = 25%
Markdown amount M = 120 × 0.25 = $30
Sale price S = 120 − 30 = $90

Example B: You know original price and sale price.
Original price O = $80, sale price S = $59.99
Markdown amount M = 80 − 59.99 = $20.01
Markdown percent P = (20.01 ÷ 80) × 100 ≈ 25.0125% ⇒ 25.01%

Example C: You know original price and markdown amount.
Original price O = $45, markdown amount M = $12
Sale price S = 45 − 12 = $33
Markdown percent P = (12 ÷ 45) × 100 ≈ 26.67%

Notice how the percent can land on a “weird” number like 26.67%. That’s normal when the markdown amount doesn’t neatly divide the original price. Stores may round the displayed percent (for marketing), but your receipt math will still be exact.

How this calculator works (step-by-step)

1. You pick a mode: compute sale price, markdown percent, or markdown amount.
2. You enter the original price (required) plus the other known value(s) for your chosen mode.
3. The calculator validates inputs (no negative prices; original price can’t be zero for percent math).
4. It computes the missing values using the formulas above and rounds to practical display precision.
5. It shows a “deal meter” based on the markdown percent to help you interpret the discount at a glance.

All calculations happen locally in your browser. Nothing is sent to a server, and saved results are stored only on your device (using localStorage) so you can compare deals without losing them when you refresh.

Interpretation: what counts as a “good” markdown?

“Good” depends on what you’re buying, but as a quick shopping heuristic:

• 0–9%: tiny discount — often not worth changing your decision.
• 10–24%: decent promo — common for seasonal sales and coupons.
• 25–49%: strong deal — usually meaningful savings.
• 50–69%: major markdown — clearance territory.
• 70%+: deep clearance — great if you truly need it (watch return policies).

For resellers or bargain hunters, a huge markdown percent is only the first filter. The second is whether the sale price still leaves room for your target margin after taxes, shipping, and fees.

Markdown vs. markup (don’t mix them)

People often confuse markdown with markup because they sound similar. They’re opposites:

• Markup starts from cost and goes up to reach a selling price.
• Markdown starts from the original selling price and goes down during a sale.

If you’re doing business pricing, use the Markup Calculator. If you’re shopping or running promotions, you’re in the right place.

Common real-life scenarios

• Comparing coupons: “$15 off” vs “20% off” — plug in the original price and see which saves more.
• Stacked discounts: If two discounts apply sequentially, treat each step as a new “original” price after the first discount.
• Tax-inclusive thinking: Sales tax is usually applied after markdown, so the discount reduces tax too.
• Retail planning: Decide how far you can mark down and still hit margin goals (or clear inventory by a deadline).

FAQ (extra)

• Can markdown be more than 100%?

  No. A 100% markdown means the item is free (sale price = 0). If your math shows more than 100%, one of the inputs is wrong.

• What if the original price is 0?

  Percent markdown is undefined because you’d be dividing by zero. The calculator will ask you to enter a valid original price.

• Why do store tags sometimes show a different percent than my calculator?

  Some stores round the displayed percent (for marketing), or the “original” price shown may be a previous promo price instead of MSRP.

• Should I round cents or keep full precision?

  For shopping decisions, cents are enough. For accounting, keep more precision until the final step, then round to currency.

Educational note: This calculator is for math and budgeting convenience. It does not provide financial, legal, or accounting advice.