The formula
price = cost ÷ (1 − margin ÷ 100)
What it means
For a margin on the selling price it is not enough to multiply the cost: you have to divide it. The reason is that the margin is worked out on a figure you do not know yet, so the formula has to solve for it.
How to work it out by hand
- Turn the margin into a decimal by dividing by 100
- Subtract it from 1
- Divide the cost by that result
What is worth knowing
The higher the margin you want, the faster the price climbs. For a 20 % margin the cost is divided by 0.8, which is the same as multiplying by 1.25. For 50 % it is divided by 0.5, which doubles it. And a 100 % margin is impossible: it would mean dividing by zero, because it would require an infinite price or a cost of nothing.