Enter your cost and pricing details
$
Enter fixed costs (must be greater than 0).
Rent, salaries, insurance, loan payments, depreciation
$
Selling price must be greater than variable cost.
$
Variable cost must be less than selling price.
Raw materials, direct labor, shipping, commissions
E.g. units, hours, licenses, courses, clients
How many units to hit a target profit?
$
Enter fixed costs (must be greater than 0).
$
Selling price must be greater than variable cost.
$
Variable cost must be less than selling price.
$
Enter your target profit (must be greater than 0).
Pre-tax profit you want to achieve
How much can sales drop before you lose money?
$
Enter fixed costs (must be greater than 0).
$
Selling price must be greater than variable cost.
$
Variable cost must be less than selling price.
Enter your actual or expected sales (must be greater than 0).
Your projected or current sales volume
Break-Even Units
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⚠️ Disclaimer: Break-even analysis assumes constant selling price and variable cost per unit, no inventory changes, and a single product or constant sales mix. Real-world results may vary. This calculator is for educational and planning purposes only. Consult a qualified accountant or financial advisor for business-critical decisions.
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Sources & Methodology
All formulas based on standard cost-volume-profit (CVP) analysis as taught in managerial accounting curricula across accredited US universities. Verified against Horngren's Cost Accounting (17th ed.) and CMA exam standards.
AccountingTools — Break-Even Analysis
Authoritative reference for break-even formula structure, contribution margin calculation, and margin of safety methodology used in managerial accounting and financial planning contexts.
U.S. Small Business Administration — Manage Your Finances
SBA guidance on break-even analysis for small business financial planning, including how to separate fixed and variable costs and apply break-even calculations to pricing decisions.
Verified Formulas:
Contribution Margin (CM) = Selling Price - Variable Cost per Unit
CM Ratio = CM / Selling Price x 100
Break-Even Units = Fixed Costs / CM (round up to nearest whole unit)
Break-Even Revenue = Fixed Costs / CM Ratio (or: Break-Even Units x Selling Price)
Units for Target Profit = (Fixed Costs + Target Profit) / CM
Margin of Safety (units) = Actual Sales Units - Break-Even Units
Margin of Safety (%) = (Actual - Break-Even) / Actual x 100
Test: FC=$50,000, SP=$25, VC=$10, CM=$15. BE units = 3,334, BE revenue = $83,333.33. Verified correct.
Break-Even Analysis — What It Is, How to Calculate It, and How to Use It
Break-even analysis is one of the most practical tools in business and managerial accounting. It tells you the minimum sales volume required to avoid a loss — and it helps you understand how changes in price, costs, or volume affect profitability. Every entrepreneur, product manager, and business student needs to understand how the break-even point is calculated and what it means for decision-making.
The Core Break-Even Formula
Break-Even Units = Fixed Costs / (Selling Price − Variable Cost per Unit)
Worked example:
Fixed costs: $50,000/month (rent $20K, salaries $25K, insurance $5K)
Selling price: $25 per unit
Variable cost: $10 per unit (materials $6, labor $3, shipping $1)
Contribution Margin = $25 − $10 = $15 per unit
Break-Even Units = $50,000 / $15 = 3,334 units (rounded up)
Break-Even Revenue = 3,334 x $25 = $83,350
At 3,334 units sold: Revenue = $83,350 | Total Variable Costs = $33,340 | Gross Profit = $50,010 | Fixed Costs = $50,000 | Net Profit = $10 (just over break-even).
Fixed costs: $50,000/month (rent $20K, salaries $25K, insurance $5K)
Selling price: $25 per unit
Variable cost: $10 per unit (materials $6, labor $3, shipping $1)
Contribution Margin = $25 − $10 = $15 per unit
Break-Even Units = $50,000 / $15 = 3,334 units (rounded up)
Break-Even Revenue = 3,334 x $25 = $83,350
At 3,334 units sold: Revenue = $83,350 | Total Variable Costs = $33,340 | Gross Profit = $50,010 | Fixed Costs = $50,000 | Net Profit = $10 (just over break-even).
What Is Contribution Margin and Why It Matters
The contribution margin is the most important concept in break-even analysis. It is the amount each unit sold contributes toward covering fixed costs — and then, once fixed costs are fully covered, to generating profit. The formula is simple: Contribution Margin per Unit = Selling Price − Variable Cost per Unit. The Contribution Margin Ratio = CM per Unit / Selling Price. A product with a 60% CM ratio means 60 cents of every dollar of revenue goes toward fixed costs and profit, while 40 cents covers variable costs.
Break-Even by Industry: Typical CM Ratios
| Industry | Typical CM Ratio | Implication |
|---|---|---|
| SaaS / Software | 70–90% | Very low variable cost per user; fast break-even |
| Professional Services | 50–75% | Labor is often semi-fixed; high CM on billable work |
| Online Education / Courses | 60–85% | Near-zero delivery cost per additional student |
| Light Manufacturing | 30–55% | Moderate materials cost; needs volume to absorb fixed costs |
| Retail | 20–45% | High cost of goods; requires significant volume |
| Food Service / Restaurant | 15–35% | High variable costs (food, labor per order); tight margins |
Units for Target Profit: Beyond Break-Even
Break-even tells you when losses stop. But businesses need to know what sales volume generates a specific profit target. The formula extends naturally: Units for Target Profit = (Fixed Costs + Target Profit) / Contribution Margin per Unit. You can think of target profit as an additional fixed cost — it's a hurdle you need the contribution margin to clear before recognising profit. Example: if your break-even is 3,334 units and you want $30,000 profit with a $15 contribution margin, you need 3,334 + ($30,000 / $15) = 3,334 + 2,000 = 5,334 units total.
Margin of Safety: Your Buffer Against Downturns
The margin of safety measures how far actual sales can fall before a business begins losing money. Margin of Safety = Actual Sales Units − Break-Even Units. As a percentage: (Actual − Break-Even) / Actual x 100. A business selling 5,000 units with a break-even of 3,334 units has a margin of safety of 1,666 units (33.3%). This means revenue can drop 33.3% before losses begin. Businesses with tight margins of safety (under 10-15%) are highly vulnerable to seasonal downturns, demand shocks, or competitive pricing pressure.
💡 Key insight: The fastest way to improve your break-even position is usually to increase selling price rather than cut variable costs. A 10% price increase (while keeping the same volume) raises the contribution margin more than a 10% reduction in variable costs, because price increases directly raise the CM while variable cost cuts only raise CM by the fraction they represent of the selling price. However, price sensitivity in your market may limit this strategy.
Frequently Asked Questions
Break-Even Units = Fixed Costs / (Selling Price - Variable Cost per Unit). The denominator is the Contribution Margin per Unit. Example: Fixed costs $50,000, selling price $25, variable cost $10. CM = $15. Break-Even = $50,000 / $15 = 3,334 units (always round up since you need whole units). At 3,333 units you still have a small loss; 3,334 units puts you just over break-even.
Break-Even Revenue = Fixed Costs / Contribution Margin Ratio. CM Ratio = (Selling Price - Variable Cost) / Selling Price. Example: Fixed costs $50,000, SP $25, VC $10. CM Ratio = $15/$25 = 60%. Break-Even Revenue = $50,000 / 0.60 = $83,333. Alternatively: Break-Even Units x Selling Price = 3,334 x $25 = $83,350 (small rounding difference).
Contribution Margin = Selling Price - Variable Cost per Unit. It is the amount each unit sold contributes toward covering fixed costs, and then to generating profit once fixed costs are covered. CM Ratio = CM / Selling Price x 100. A 60% CM ratio means 60 cents of every dollar of revenue goes toward fixed costs and profit. High CM ratios mean faster break-even and stronger profitability once break-even is reached.
Units for Target Profit = (Fixed Costs + Target Profit) / Contribution Margin per Unit. Example: FC $50,000, target profit $30,000, SP $25, VC $10. CM = $15. Units = ($50,000 + $30,000) / $15 = 5,334 units. You need 5,334 units to cover all fixed costs and generate exactly $30,000 in profit. Each additional unit beyond this adds $15 to profit.
Margin of Safety = Actual Sales - Break-Even Sales. It shows how much sales can drop before losses begin. As a percentage: (Actual - Break-Even) / Actual x 100. Example: actual sales 5,000 units, break-even 3,334. Margin of Safety = 1,666 units = 33.3%. Sales can fall 33.3% before the business makes a loss. A margin of safety below 10-15% indicates high financial vulnerability.
Fixed costs do not change with production volume: rent, salaries, insurance, loan payments, depreciation. Variable costs change proportionally with units produced or sold: raw materials, direct labor per unit, shipping per unit, sales commissions. For break-even analysis, costs must be separated into these two categories. Semi-variable costs (like utilities with a base charge + per-unit component) should be split: the fixed portion into fixed costs, the variable portion into variable cost per unit.
A high break-even point means the business needs many units sold before it covers costs and starts making profit. This usually results from high fixed costs relative to contribution margin. High break-even businesses face more risk at low sales volumes. To reduce it: raise selling price, cut variable costs per unit, reduce fixed costs, or focus on higher-margin products. The fastest lever is usually price increases, as they directly raise contribution margin.
At the break-even point, profit is zero, so tax has no effect on basic break-even units. For after-tax target profit: pre-tax profit needed = after-tax target / (1 - tax rate). Example: want $30,000 after tax at 25% rate. Pre-tax needed = $30,000 / 0.75 = $40,000. Units = (FC + $40,000) / CM. This gives the units needed to generate your desired after-tax profit.
Yes. Replace units with hours billed, client engagements, or sessions. Variable costs become direct delivery costs per service. Example: consulting firm with $120,000 fixed costs, billing rate $200/hour, direct cost $80/hour. CM = $120. Break-even = $120,000 / $120 = 1,000 billable hours. Any billable hour above 1,000 generates $120 in profit toward the firm's owners or investors.
Depends on industry. Software/SaaS: 70-90%+ (low variable delivery cost). Professional services: 50-75%. Manufacturing: 30-55%. Retail: 20-45%. Food service: 15-30%. A CM ratio below 10% requires very high volume to cover fixed costs and is highly sensitive to revenue fluctuations. For course assignments and exam problems, any ratio is acceptable as long as CM is positive.
Four ways: (1) Raise selling price -- directly increases CM per unit. (2) Reduce variable cost per unit -- same CM improvement as price increase. (3) Cut fixed costs -- lowers the numerator directly. (4) Shift product mix toward higher-margin products. The fastest operational impact usually comes from price increases, as they require no production changes. However, market price sensitivity may limit this option in competitive markets.
Assumes: constant selling price (no volume discounts), constant variable cost per unit (no economies of scale), fixed costs are truly fixed in the relevant range, all units produced are sold (no inventory buildup), and a single product or constant product mix. For multi-product businesses, use a weighted average CM ratio. For costs that step up at certain volumes (e.g., hiring a new manager at 5,000 units), run separate analyses for each volume range.
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