Merchandise Planning Institute
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Retail maths cheat sheet

The formulas planners and allocators use every week, on one page. Print it or save it as a PDF and keep it next to your keyboard.

Gross margin %

(Selling price − cost) ÷ selling price × 100

Profit as a share of the price. Use prices before tax.

Markup %

(Selling price − cost) ÷ cost × 100

Profit as a share of the cost. Always bigger than margin.

Markup to margin

Margin % = markup % ÷ (100 + markup %) × 100

A 100% markup is a 50% margin.

Price for a target margin

Price = cost ÷ (1 − margin as a decimal)

Cost $40 at 60% margin: 40 ÷ 0.4 = $100.

Average selling price (ASP)

Sales $ ÷ units sold

Watch it fall when markdowns start.

Sell-through %

Units sold ÷ units received × 100

Use units received, not units on hand.

Rate of sale (ROS)

Units sold ÷ (stores × weeks)

Units per store per week: the building block of buys and allocations.

Weeks of cover

Stock on hand ÷ forecast weekly sales

How long the stock lasts at the current rate.

Stock-to-sales ratio

Start-of-month stock ÷ month sales

Both at retail value.

Stock turn

Sales ÷ average stock (same basis)

Both at retail, or both at cost. Annualise a season figure.

GMROI

Gross margin $ ÷ average stock at cost

Equals margin % × (sales at retail ÷ average stock at cost).

Open-to-buy (OTB)

Planned closing stock + planned sales + planned markdowns − opening stock − on order

What you can still buy for the period.

Markdown cost

Units × (old price − new price)

Plan it as dollars, not just a percentage.

Achieved margin

Intake margin − markdowns − shrinkage − discounts (in % points)

Name every point of erosion.

Average transaction value (ATV)

Sales $ ÷ number of transactions

Pairs with UPT to explain sales changes.

Units per transaction (UPT)

Units sold ÷ number of transactions

Like-for-like growth %

(This year − last year) ÷ last year × 100

Same stores, same weeks, so new stores do not flatter it.

Reorder point

Weekly sales × lead time in weeks + safety stock

Order when stock falls to this level.

Buy quantity

ROS × stores × weeks ÷ target sell-through

Demand grossed up for the stock you expect to have left.

From Merchandise Planning Mastery, merchandiseplanninginstitute.com. Prices in the examples are before tax.

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