Retail markdown formulas, with worked numbers
| Metric | Formula | Worked example |
|---|---|---|
| Markdown % | (original retail − new retail) ÷ original retail | (49.00 − 34.30) ÷ 49.00 = 30.0% |
| Markdown amount per unit | original retail × markdown % | 49.00 × 0.30 = $14.70 |
| New retail from a depth | original retail × (1 − markdown %) | 49.00 × 0.70 = $34.30 |
| Original retail from a price | current price ÷ (1 − markdown %) | 34.30 ÷ 0.70 = $49.00 |
| Total markdown dollars | markdown per unit × units sold at that price | 14.70 × 231 = $3,395.70 |
| Cumulative (successive) markdown | 1 − ((1 − d₁) × (1 − d₂) × …) | 1 − (0.80 × 0.75) = 40.0% |
| Markdown % of sales | total markdown dollars ÷ net sales | 6,240 ÷ 29,272 = 21.3% |
| Average unit retail (AUR) | net sales ÷ units sold | 29,272 ÷ 858 = $34.11 |
| Initial margin | (original retail − cost) ÷ original retail | (49.00 − 18.00) ÷ 49.00 = 63.3% |
| Maintained margin | (net sales − COGS) ÷ net sales | (29,272 − 15,444) ÷ 29,272 = 47.2% |
| Margin erosion | initial margin − maintained margin | 63.3% − 47.2% = 16.1 pts |
| Units sold in a period | units at start × (1 − (1 − weekly rate)^weeks) | 676 × (1 − 0.90⁴) = 247 units |
All examples use the same season: 858 units, $18.00 cost, $49.00 ticket, four price periods, $29,272 net sales.
Successive markdowns compound — convert before comparing
A second break taken off the reduced price is not additive. Convert every schedule to a cumulative percentage off the original ticket, otherwise two plans that look equal on paper are not.
| Sequence | Multiplier | Cumulative depth | Final price |
|---|---|---|---|
| 20% then 25% | 0.80 × 0.75 = 0.60 | 40.0% | $29.40 |
| 20% then 30% | 0.80 × 0.70 = 0.56 | 44.0% | $27.44 |
| 25% then 25% then 20% | 0.75 × 0.75 × 0.80 = 0.45 | 55.0% | $22.05 |
| 30% then 40% | 0.70 × 0.60 = 0.42 | 58.0% | $20.58 |
| 40% then 50% | 0.60 × 0.50 = 0.30 | 70.0% | $14.70 |
The one formula most spreadsheets get wrong
Units sold in a price period should deplete the stock still on hand, not the original buy: units at period start × (1 − (1 − weekly rate)weeks). Modelling against the original quantity lets a schedule sell more units than it owns, and it flatters late breaks by giving them a base they never had.
That single correction is usually the difference between a plan that looks like it clears and one that actually does.
Keep planning
- Model your markdown schedule
The formulas above applied across up to six price periods, with a sensitivity band.
- Retail markdown planning
How the numbers fit into a season plan, calendar, and markdown reserve.
- Markdown vs markup
Markup is measured on cost, markdown on retail — the most common mix-up in a review.
- Markdown schedule template
Which formula belongs in which spreadsheet column.
Answers
Markdown formula questions
Stop hand-checking markdown math
The planner applies every formula on this page across your schedule and reports maintained margin, ending stock, and cash recovered as a range.