5% Margin to Markup: a 5% margin needs a 5.3% markup
Divide cost by 0.95 and you have a 5% margin price; that is the same as a 5.3% markup. Both routes give the same figure, and the table below shows them side by side for common cost points.
Price any cost at a 5% margin
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The formula
5 ÷ 95 × 100 = 5.3%
price = cost ÷ (1 − 5/100) = cost ÷ 0.95
The conversion is markup = margin ÷ (100 − margin). For 5% that is 5 ÷ 95 = 5.3%. As the target margin rises the denominator shrinks, which is why high margins need markups that look extreme when quoted on cost.
Price table at 5% margin
Each price is the cost divided by 0.95. The markup column stays at 5.3% on every line; only the amounts scale.
| Cost | Price at 5% margin | Gross profit | Markup |
|---|---|---|---|
| $5.00 | $5.26 | $0.26 | 5.3% |
| $10.00 | $10.53 | $0.53 | 5.3% |
| $25.00 | $26.32 | $1.32 | 5.3% |
| $50.00 | $52.63 | $2.63 | 5.3% |
| $100.00 | $105.26 | $5.26 | 5.3% |
| $250.00 | $263.16 | $13.16 | 5.3% |
| $500.00 | $526.32 | $26.32 | 5.3% |
| $1,000.00 | $1,052.63 | $52.63 | 5.3% |
| $2,500.00 | $2,631.58 | $131.58 | 5.3% |
| $10,000.00 | $10,526.32 | $526.32 | 5.3% |
Margins near 5%
Between 1% and 15% margin the markup needed runs from 1% to 17.6%: it climbs faster than the margin because the cost share of the price keeps shrinking. The multiplier column turns a cost list into prices at that margin in one step.
| Margin | Markup needed | Price multiplier |
|---|---|---|
| 1% | 1% | 1.0101× |
| 3% | 3.1% | 1.0309× |
| 5% | 5.3% | 1.0526× |
| 7% | 7.5% | 1.0753× |
| 9% | 9.9% | 1.0989× |
| 11% | 12.4% | 1.1236× |
| 13% | 14.9% | 1.1494× |
| 15% | 17.6% | 1.1765× |
Worked example
Suppose the landed cost is $79.00 and the buyer requires a 5% margin. The price cannot be below $83.16. At that price the profit is $4.16; below it the buyer's margin falls under 5% and the line fails their review.
The margin-as-markup trap
At 5% margin the maximum discount before selling at cost is 5%. A promotion that takes 5% off a 5%-margin product sells exactly at cost, and any coupon on top loses money.
When a margin target is the right tool
Margin is the right lens when comparing products that carry different costs. Two lines with 5% margin contribute the same share of every sale to overheads even if one costs $79.00 and the other ten times as much.
If a supplier quotes you a 5% markup, translate it before comparing: that is a 4.8% margin, 0.2 points below the 5% margin this page is about.
Mirror page: what margin a 5% markup produces.