1. Definitions and Fundamental Formulas
Both metrics describe gross profit, but they use different denominators. Applying a margin target as though it were a markup can produce a lower selling price than intended.
Gross margin = gross profit ÷ selling price. Markup = gross profit ÷ cost. The price multiplier for a markup is 1 + markup rate; for a target margin it is 1 ÷ (1 − margin rate).
Markup Formula
Calculates profit as a percentage of Cost:
Markup % = ((Selling Price − Cost) ÷ Cost) × 100Example: Item costs $100, sells for $150.
Markup = (($150 − $100) ÷ $100) × 100 = 50%
Profit Margin Formula
Calculates profit as a percentage of Revenue (Selling Price):
Margin % = ((Selling Price − Cost) ÷ Selling Price) × 100Example: Item costs $100, sells for $150.
Margin = (($150 − $100) ÷ $150) × 100 = 33.33%
2. Conversion Formulas
If you know your desired gross margin and need to determine what markup to apply to wholesale materials or labor, use these exact algebraic conversions:
Markup = Margin ÷ (1 − Margin)Convert Markup to Margin:
Margin = Markup ÷ (1 + Markup)Note: When using these conversion formulas, express percentages as decimals (e.g., 20% = 0.20).
3. Markup vs. Margin Reference Table
The table below shows what selling price and profit margin result from applying various markup percentages to an item with a $100 baseline cost:
| Cost | Markup % | Price Multiplier | Selling Price | Gross Profit ($) | Profit Margin % |
|---|---|---|---|---|---|
| $100.00 | 15.0% | 1.15× | $115.00 | $15.00 | 13.04% |
| $100.00 | 20.0% | 1.20× | $120.00 | $20.00 | 16.67% |
| $100.00 | 25.0% | 1.25× | $125.00 | $25.00 | 20.00% |
| $100.00 | 33.33% | 1.3333× | $133.33 | $33.33 | 25.00% |
| $100.00 | 50.0% | 1.50× | $150.00 | $50.00 | 33.33% |
| $100.00 | 100.0% | 2.00× | $200.00 | $100.00 | 50.00% |
| $100.00 | 200.0% | 3.00× | $300.00 | $200.00 | 66.67% |
| $100.00 | 300.0% | 4.00× | $400.00 | $300.00 | 75.00% |
4. Contractor Pricing Example
For illustration, suppose the cost base selected for a project is$50,000 and the pricing target is a 25% gross margin on the selling price. The example treats that amount as the cost base; it does not establish that this target or cost list fits a real contractor's job. Gross profit remaining after the selected costs may still need to cover overhead and other expenses.
- The Mistake (Applying 25% Markup):
Price = $50,000 × 1.25 = $62,500.
Actual Margin = ($12,500 ÷ $62,500) = 20.0%.
Result: This price produces about $4,167 less gross profit than the 25% target-margin calculation below. - The Correct Calculation (25% Target Margin):
Markup required = 0.25 ÷ (1 − 0.25) = 0.25 ÷ 0.75 = 33.33%.
Price = $50,000 ÷ (1 − 0.25) = $50,000 ÷ 0.75 = $66,666.67.
Gross Profit = $16,666.67.
Actual Margin = ($16,666.67 ÷ $66,666.67) = 25.0%.
5. Key Takeaways for Pricing Strategies
- For a target margin, use the margin formula. Applying the same percentage as markup produces a lower price when cost and the target margin are positive.
- To price for a specific margin: Divide your cost by
(1 − Target Margin Decimal). For a 30% margin on a $70 cost, calculate$70 ÷ 0.70 = $100. - For a positive selling price and non-negative cost:gross margin is at most 100% (reached when cost is zero), and it can be negative when cost exceeds the selling price. Markup is undefined when cost is zero; with a positive cost, it can exceed 100%.
Related Business & Estimating Tools
Explore the numbers behind an estimate with these related business tools:
- Job Costing Calculator — Sum labor, materials, and overhead to set target gross margins.
- Estimate Generator — Prepare a proposed-work estimate using prices and terms you enter.
- Free Invoice Generator — Create an itemized invoice and download it as a PDF.
Explore related tools in Business.