On This Page
- The line where losses stop
- The formula in two steps
- Four businesses at a glance
- Several products: a weighted margin
- Margin of safety and what moves the line
- The same logic for Social Security
- How the calculator is verified
- FAQ
The Line Where Losses Stop
The break-even point is the sales volume where revenue exactly covers every cost. Each sale before it is still paying off fixed costs; each sale after it is profit. Knowing where that line sits tells you whether a price works, which cost cuts matter, and whether a sales target is realistic before you commit money. Treat it as a planning estimate, since refunds, discounts, tax and capacity limits all move the real figure.
The Formula in Two Steps
Break-even units = fixed costs ÷ contribution margin
Break-even revenue = units × price, or fixed costs ÷ (contribution ÷ price)
Fixed costs stay the same however much you sell: rent, base salaries, insurance, software, equipment leases. Variable costs come with every sale: materials, packaging, per-job labor, card fees, shipping and sales commissions. Small per-sale costs are easy to forget, and leaving them out flatters the margin. Round units up, because 81.25 means you need 82. If price does not cover variable cost, no amount of volume breaks even, and the calculator says "Not possible." To set the price itself from cost and markup, use the Markup Calculator.
Four Businesses at a Glance
| Business | Fixed costs a month | Price − variable cost | Break-even |
|---|---|---|---|
| Product seller | $10,000 | $50 − $30 = $20 | 500 units, $25,000 of sales (a 40% margin ratio) |
| Restaurant | $18,000 | $24 average order − $10 = $14 | 1,285.7, so 1,286 orders |
| Service trade | $6,500 | $125 job − $45 parts, fuel and labor = $80 | 81.25, so 82 jobs |
| Target of $3,000 profit | $12,000 | $30 | ($12,000 + $3,000) ÷ $30 = 500 units |
Adding a profit target to fixed costs, as in the last row, turns break-even into a "units needed to earn X" figure. A freelancer can do the same with fixed monthly costs divided by earnings per billable hour.
Several Products: A Weighted Margin
With several products, weight each contribution margin by its share of unit sales. Product A earns $30 and is 60% of sales; Product B earns $10 and is 40%. That gives (0.60 × $30) + (0.40 × $10) = $22 per average unit. With $11,000 of fixed costs, you need 500 units in total: 300 of A and 200 of B. The calculator handles one product at a time, so to check a mix, enter a blended average price and variable cost whose difference equals the weighted margin.
Margin of Safety and What Moves the Line
Margin of safety = planned units − break-even units. Plan 700 against a 500 break-even and you have 200 units of room for slow months, returns or cost rises. Enter your planned units and the calculator shows it.
- Higher fixed costs or higher variable costs raise break-even.
- A higher price lowers it, as long as demand holds.
- Discounts cut the margin on every unit and can raise break-even sharply on thin-margin products.
- Cheaper supplies lower it, so model the saving before negotiating with a supplier.
For the return on the money that went into the fixed costs, see the ROI Calculator.
The Same Logic for Social Security
Any "pay now, save later" choice has a break-even: upfront cost ÷ recurring gain. Claiming Social Security at 62 might pay $1,200 a month against $1,700 at 67. Waiting gives up 60 × $1,200 = $72,000, and the extra $500 a month takes 144 months (12 years) to win it back, so the break-even is around age 79. Use the figures from your own benefit statement.
In Excel, with fixed costs in A1, price in A2 and variable cost in A3: =ROUNDUP(A1/(A2-A3),0) gives break-even units and =(A2-A3)/A2 the margin ratio.
How the Calculator Is Verified
Contribution margin, the number this calculator's break-even formula runs on, is computed as price minus variable cost for a single unit, then fixed costs are divided by that figure to get break-even units. If price does not clear variable cost, contribution turns zero or negative and the calculator reports "Not possible" instead of returning a break-even count, since dividing fixed costs by a non-positive number would produce a meaningless or negative unit count. The safety margin shown alongside the result is simply planned units minus break-even units, so it moves in lockstep with whatever you enter in the planned-units field.
Frequently Asked Questions
Can break-even be impossible?
Yes, if selling price is lower than variable cost, contribution margin is negative and no volume produces a break-even. Every sale deepens the loss. The solution is to raise the price or reduce variable costs until contribution margin turns positive. A zero contribution margin (price equals variable cost) also has no break-even, revenue can never exceed total cost.
What is break-even point in accounting?
In management accounting, break-even is the sales volume where total revenue equals total cost, the core concept in cost-volume-profit (CVP) analysis. It appears in business plans, financial projections, loan applications, and pricing decisions. The formula is the same whether the business sells physical products, services, or subscriptions.
References
- Break-Even Point, Investopedia: business applications, margin of safety, and how break-even changes with cost structure.
- Contribution Margin, Investopedia: contribution margin and its role in cost-volume-profit analysis.
- Cost-Volume-Profit (CVP) Analysis, Investopedia: the broader CVP framework that break-even analysis sits within, including sensitivity analysis and target-profit calculations.