The break-even formula
1 Fixed costs
2 Contribution margin
3 Break-even units
Break-even units = fixed costs ÷ contribution margin per unit, where contribution margin per unit = price − variable cost. Example: $10,000 fixed costs, $50 price, $30 variable cost. Contribution margin = $20, so break-even = 10,000 ÷ 20 = 500 units, or $25,000 in revenue.
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What is contribution margin
Contribution margin is what each sale contributes toward fixed costs after variable costs: price − variable cost per unit, or as a ratio, that figure ÷ price. A higher contribution margin means you break even on fewer sales.
Break-even in units vs dollars
Units tell you how many you must sell; dollars tell you the revenue you must hit. Break-even revenue = break-even units × price, or fixed costs ÷ contribution margin ratio. Use dollars for services and mixed product lines where "units" are fuzzy.
Break-even for products vs services
For products, variable cost is usually materials and shipping. For services, it is the direct labor and delivery cost of one engagement. The formula is identical; only what counts as variable cost changes.
Hitting a profit target
To find the volume for a target profit, add it to fixed costs: units = (fixed costs + target profit) ÷ contribution margin per unit. The calculator does this when you enter a target profit.
Margin of safety
Your margin of safety is how far sales sit above break-even: (actual sales − break-even sales) ÷ actual sales. A larger margin of safety means more cushion before you dip into a loss.
How long until you break even
You can express break-even in time, not just units. If you sell a steady volume per month, break-even time = break-even units ÷ units sold per month. Selling 500 break-even units at 100 a month means you break even in about 5 months.
Break-even point vs. payback period
Break-even is the sales volume where revenue covers costs, an ongoing-operations question. Payback period is how long until an upfront investment is recovered from its cash flows, an investment-evaluation question. They answer different things; do not use one in place of the other.
Real-world adjustments
The basic formula assumes fixed and per-unit costs stay constant. In practice, fixed costs step up as you scale (a second shift, more space) and variable cost per unit can fall with bulk discounts. Re-run the calculator at each cost step to see how break-even shifts across volume ranges.