What it measures
The break-even point is the sales level at which total contribution exactly covers fixed costs, so that profit is zero: below it the period ends in a loss, above it in a profit. This calculator expresses it in whole units and in revenue for one period. Founders, sales managers and anyone preparing a launch or a budget use it to turn fixed costs into a concrete sales target and to see how price, variable cost and overhead change that target.
Explain this formula
First compute the contribution per unit: unit selling price minus variable cost per unit. It is what each sale leaves to pay fixed costs. Divide the period’s fixed costs by that contribution and round up to the next whole unit: that is the number of units to sell before fixed costs are covered.
Multiply the break-even units by the unit price to get break-even revenue. The calculator also shows the contribution margin ratio, the unit contribution divided by the price. Fixed costs divided by that ratio give approximately the same revenue; the small difference comes from rounding units up.
The units are counts, the revenue is a currency amount for the period. Fixed costs and sales must cover exactly the same period: a monthly rent compared with annual sales would give a meaningless result.
What each term means
- Unit selling price
- Sale price of one unit in the same period as fixed costs.
- Where to find it: The average price actually received per unit, excluding VAT or sales tax, after usual discounts and net of refunds. Must be higher than the variable cost per unit for a finite break-even.
- Variable cost per unit
- Costs that change with each sale, such as fulfillment and transaction fees.
- Where to find it: Every cost that increases with each unit sold: purchase or production cost, packaging, shipping you pay, payment and marketplace fees, sales commissions. Exclude costs that stay the same whatever the volume.
- Period fixed costs
- Fixed overhead for the exact analysis period.
- Where to find it: Costs that do not change with volume within the period: rent, salaries, software subscriptions, insurance, loan repayments if you want to include them. Use the same period as your sales target, for example one month.
- Contribution per unit
- Unit selling price minus per-unit variable cost.
- Break-even units
- Minimum whole units to cover fixed costs with contribution.
- Break-even revenue
- Break-even units × unit price.
Worked example
Hypothetical example: a product sells for 100 (excluding taxes), its variable cost is 60 per unit, and fixed costs are 1,000 for the month.
- Contribution per unit100 − 60 = 40
- Break-even unitsceil(1,000 ÷ 40) = 25
- Break-even revenue25 × 100 = 2,500
Break-even units = 25
Each unit contributes 100 − 60 = 40. 1,000 ÷ 40 = 25 units to cover fixed costs, so break-even revenue is 25 × 100 = 2,500. The contribution margin ratio is 40 %. If fixed costs rose to 1,200, break-even would move to 30 units (3,000); if the price rose to 110, contribution would be 50 and 20 units (2,200) would suffice; if variable cost rose to 65, 1,000 ÷ 35 ≈ 28.57 would round up to 29 units (2,900).
Hypothetical numbers, used to show the calculation. Not real company data.
When and why to use it
Use this calculator when preparing a budget, launching a product, opening a new channel or taking on a new fixed cost such as a hire or a lease. It answers a direct question: how much must we sell in the period just to cover what we have committed to spend?
It also helps compare options. Raising the price, negotiating variable costs or cutting overhead all lower the break-even point, but by different amounts. Testing each one here shows which change brings the target down most for your numbers.
Once you know the break-even level, compare it with actual or expected sales. The gap between them, sometimes called the margin of safety, shows how far sales can fall before the period turns into a loss.
How fixed costs and contribution margin shape your sales target
Break-even depends on two forces. Fixed costs set the height of the hurdle; contribution per unit sets how fast each sale climbs it. With fixed costs of 1,000 and a contribution of 40, you need 25 units. Double the fixed costs and the target doubles to 50 units. Halve the contribution to 20 and the target also doubles.
Contribution is often the more sensitive lever, because it is a difference. A price increase of 10 % (100 to 110) raises contribution by 25 % (40 to 50) and lowers break-even from 25 to 20 units. A variable cost increase of about 8 % (60 to 65) lowers contribution by 12.5 % and pushes break-even up to 29 units. Small changes in price or cost therefore move the target more than their size suggests.
When the price is equal to or lower than the variable cost, contribution is zero or negative. Each sale then adds nothing or deepens the loss, and no volume can cover fixed costs: the calculator shows no finite break-even. When fixed costs are zero, there is nothing to cover and break-even is zero units.
How to read and improve the result
Break-even units are the minimum number of whole units to sell in the period before any profit appears. Every unit beyond it adds its full contribution to profit; every unit short of it leaves part of fixed costs uncovered.
A high contribution margin ratio means each unit of revenue covers more fixed cost, so break-even revenue is reached sooner. A lower break-even is generally safer, but it must be read against realistic demand, not as a goal in itself.
Practical levers
- Review the price where customers value the offer more than it costs, since price changes act fully on contribution.
- Negotiate variable costs per unit: purchase price, shipping rates, payment fees.
- Question fixed costs that do not support sales, or convert some into variable costs.
- Shift the sales mix toward products with higher contribution per unit.
- Avoid deep discounts that cut contribution and raise the number of units needed.
Common mistakes
- Comparing fixed costs and sales over different periods.
- Putting fixed costs such as salaries into the variable cost per unit, or the reverse.
- Using the list price when most units are sold at a discount or refunded.
- Entering prices including VAT with costs excluding VAT.
- Treating break-even as a target rather than the minimum level before profit.
Scenario comparison
The conservative case lowers the price by 5 %, raises the variable cost by 5 % and fixed costs by 10 %; the optimistic case does the opposite. With the example, the conservative case (price 95, variable cost 63, fixed costs 1,100) needs 35 units and 3,325 of revenue, the optimistic case (105, 57, 900) only 19 units and 1,995.
The asymmetry between the two cases is typical: because contribution is a difference between price and cost, moderate shifts in both directions change the break-even target sharply. Use the chart to see where revenue and total cost lines cross in each case.
Methodology and limitations
The model assumes a constant price and a constant variable cost per unit at every volume, and fixed costs that do not change within the period. In practice, volume discounts, capacity steps and new hires break those assumptions.
With several products, a single break-even requires an average price and variable cost weighted by the expected sales mix; if the mix changes, the break-even changes.
Break-even is computed on profit before income tax, and prices and costs are assumed to exclude VAT or sales tax.
It measures accounting break-even for the period, not cash: payment delays and stock purchases can create cash needs before break-even is reached.
Frequently asked questions
What is the break-even formula?
Break-even units = fixed costs for the period ÷ (unit price − variable cost per unit), rounded up. Break-even revenue = break-even units × unit price. With 1,000 of fixed costs, a price of 100 and a variable cost of 60: 25 units and 2,500.
What is the difference between fixed and variable costs?
Variable costs increase with each unit sold, such as purchase cost, packaging or payment fees. Fixed costs stay the same within the period whatever the volume, such as rent, salaries or subscriptions.
What is the contribution margin ratio?
The contribution per unit divided by the unit price. At a price of 100 and a variable cost of 60, it is 40 %: each 100 of revenue leaves 40 to cover fixed costs and profit.
Why does the calculator show no break-even?
Because the price is equal to or below the variable cost per unit while fixed costs are positive. Each sale contributes nothing or loses money, so fixed costs can never be covered.
Why are break-even units rounded up?
You cannot sell part of a unit, and the unit just below the exact result would leave a small part of fixed costs uncovered.
Does break-even include taxes?
No. Prices and costs exclude VAT or sales tax, and the result is a break-even before income tax.
Sources
- Investopedia — Break-even analysis
- Investopedia — Contribution margin
- Shopify — Margin of safety and break-even
Last reviewed:
Related calculators
- Contribution Margin CalculatorSee how much each sale leaves to cover fixed costs once every cost that varies with the sale is paid, per unit, as a ratio and in total.
- Discount Break-Even CalculatorBefore cutting a price, see how much additional unit volume the discount must generate just to bring total contribution back to where it was.
- Target Selling Price CalculatorFind the price that delivers the gross margin you need on a product or service, and see why adding the same percentage to cost gives a lower margin than you might expect.
- Profit Margin CalculatorEnter a selling price and the direct cost of one unit to see the gross profit it leaves and the gross margin as a share of the price, per unit or for a whole period.