Break-Even Analysis: Formula, Example, and Business Uses
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ToggleBreak-Even Analysis: Formula, Example, and Business Uses
Break-even analysis identifies the sales volume at which total revenue equals total costs. At break-even, a business has covered its fixed and variable costs but has not yet earned an operating profit. The result gives managers a measurable sales floor for pricing, budgeting, capacity, and risk decisions.
Break-even analysis is part of cost-volume-profit analysis. It connects fixed and variable costs, selling price, volume, and profit. For the complete decision framework, begin with the managerial accounting guide.
The break-even formula
Break-even units = Total fixed costs ÷ Contribution margin per unit
Contribution margin per unit = Selling price per unit − Variable cost per unit
To calculate break-even revenue, divide fixed costs by the contribution margin ratio:
Break-even sales revenue = Total fixed costs ÷ Contribution margin ratio
The contribution margin ratio equals contribution margin divided by sales revenue. It shows the percentage of each sales dollar available to cover fixed costs and profit.
Break-even example
Assume a company has monthly fixed costs of $10,000, sells a service package for $100, and incurs $40 of variable cost per sale. The contribution margin is $60 per unit.
$10,000 ÷ $60 = 166.67 units
Because a company generally cannot sell a fraction of a unit, it must sell 167 units to fully cover its costs. Break-even revenue is approximately $16,666.67 when calculated with the 60% contribution margin ratio.
Target-profit analysis
Managers usually want more than zero profit. Target-profit analysis adds the desired operating profit to fixed costs before dividing by contribution margin.
Units for target profit = (Fixed costs + Target profit) ÷ Contribution margin per unit
If the same company wants $5,000 of monthly operating profit, it needs 250 units: ($10,000 + $5,000) ÷ $60.
How businesses use break-even analysis
- Pricing: compare how a price change affects contribution margin and required volume.
- Cost control: measure how rent, payroll, materials, or fees change the sales floor.
- Sales planning: translate a profit goal into units, customers, projects, or billable hours.
- Hiring and equipment: estimate the additional contribution required to support new fixed costs.
- Product decisions: compare the economics of products or services with different margins.
Assumptions and limitations
A basic break-even model assumes selling price, unit variable cost, and total fixed costs remain stable within the relevant range. It also assumes units produced are sold and, in a multiproduct company, that the sales mix remains reasonably consistent. Real businesses face discounts, capacity limits, step costs, waste, seasonality, and uncertain demand.
The answer should therefore be treated as a decision estimate, not a guarantee. Test a base case, a downside case, and an upside case. Also compare accounting profit with cash timing because a business can reach break-even on paper while still experiencing cash-flow pressure.
Break-even and margin of safety
Break-even defines the threshold. The margin of safety measures how far expected or actual sales are above it. A narrow margin means a small decline in sales could eliminate operating profit. The relationship is especially important for businesses with high operating leverage.
Calculate your break-even point
Use the Small-Business Break-Even Calculator to estimate break-even units, break-even revenue, contribution margin, target-profit volume, projected profit, and margin of safety. Then return to the Accounting hub for related financial and managerial accounting guides.
Put the framework to work
Continue learning
Connect this concept to the complete managerial-accounting decision system, or apply the numbers directly with the interactive calculator.
Free small-business break-even Excel calculator
Download the break-even Excel calculator (.xlsx)
Enter fixed costs for one consistent period, selling price per unit, variable cost per unit, target profit, and planned unit sales. The workbook calculates contribution margin, break-even units and revenue, target-profit units, planned operating profit, and margin of safety. Its native Excel chart compares revenue with total costs.
Check the fictional example
With $10,000 fixed costs, a $100 price, and $40 variable cost, contribution is $60 per unit. The mathematical break-even point is 166.67 units and $16,666.67 in revenue. If only whole units can be sold, round upward to 167 units. Selling 167 units produces $16,700 revenue and $20 operating profit under these assumptions.
At 200 planned units, operating profit is $2,000. Sales of $20,000 exceed mathematical break-even revenue by $3,333.33, a 16.7% margin of safety. A $5,000 target profit requires 250 whole units.
Stress-test price and contribution
If price falls to $90 while unit variable cost stays $40, contribution falls to $50. Break-even rises to 200 units and the same 200-unit sales plan produces zero operating profit. A modest price change can therefore remove the planned profit without changing volume.
If price is no greater than variable cost, the workbook reports no valid break-even result for positive fixed costs. Selling more units does not recover those fixed costs under a nonpositive contribution assumption. Missing required inputs also produce “n/a,” and percentages with zero denominators are unavailable.
What if you sell several products?
The download is a single-product model. A multi-product analysis requires an explicit sales-mix assumption. For example, a stable unit mix of 60% product A with $60 contribution and 40% product B with $30 contribution gives weighted contribution of $48 per unit. At $9,600 fixed costs, the modeled mix breaks even at 200 total units: 120 of A and 80 of B. A change in mix changes that answer. Do not enter a simple unweighted average and assume it represents your business.
Frequently asked questions
Does breaking even mean I can pay every bill?
No. Operating profit and cash timing differ. Loan principal, capital purchases, inventory timing, customer collections, and other cash movements can create a funding gap. Use a 13-week cash-flow forecast alongside this model.
Can I use monthly costs with an annual sales forecast?
Convert them to a consistent period first. Mixing periods invalidates the comparison.
Does the calculator prove the sales target is achievable?
No. Review demand, capacity, pricing, relevant cost ranges, and step increases in fixed costs. The result depends on your assumptions.
The SBA’s break-even guidance describes the fixed-cost and unit-contribution formula. Compare later results using budget-versus-actual variance analysis.
Designed for Excel 2016 or later. The workbook uses fictional data and has no macros or external data connections. Save a separate scenario copy before changing assumptions.
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