Break-Even Analysis Explained

By Ryan O'Connell, CFA, FRM Published October 20, 2026

Break even analysis answers a practical planning question: how much must a business sell to cover its operating costs? For the hypothetical meal-kit business below, 4,999 monthly orders produce a $20 operating loss, while 5,001 orders produce a $20 profit. Understanding that crossing helps managers evaluate sales targets, discounts and changes in costs.

This guide explains both the unit and revenue approaches, then extends the calculation to target profit and margin of safety. All business figures are hypothetical U.S. dollars.

What Is Break-Even Analysis?

Break-even analysis identifies the sales level at which total revenue equals the costs included in the model. At that point, the business covers those costs and earns zero profit.^[1] Here, the calculation measures operating profit before interest and income taxes.^[6]

This relationship is part of cost-volume-profit analysis: examining how sales volume, selling price and costs affect profit. A break-even calculation establishes a required sales level; a separate forecast assesses whether the business can achieve it.

Start with Fixed and Variable Costs

Variable costs increase in total as more orders are fulfilled. Fixed costs remain constant in total within the period and activity range being modeled. Fixed does not mean permanently unchangeable.^[5] Understanding fixed and variable costs is essential before applying the formula.

How to Calculate the Break-Even Point

1. Find Contribution Margin per Order

Contribution margin per unit equals selling price minus variable cost per unit. It measures the dollars available from each sale to cover fixed costs and then profit.^[2]

For the meal-kit business, $50 − $30 = $20 per order. That $20 is contribution, not immediate profit: monthly fixed costs still need to be covered.

With Q representing orders sold and F representing total monthly fixed costs, the operating-profit relationship is:

2. Calculate Break-Even Units

At break-even, operating profit is zero. Total contribution must therefore equal fixed costs. Divide fixed costs by the contribution from each unit:^[3]

$100,000 / $20 = 5,000 orders per month. Each order contributes $20, and 5,000 contributions of $20 cover the $100,000 fixed-cost balance.

3. Calculate Break-Even Sales Revenue

If the plan is expressed in sales dollars, first calculate the contribution margin ratio: contribution per unit divided by selling price. Here, $20 / $50 = 0.40, or 40%. Each dollar of sales leaves 40 cents after variable costs.^[2]

$100,000 / 0.40 = $250,000 in monthly sales. This matches the unit approach: 5,000 × $50 = $250,000.^[3]

Break-Even Example: Proving the Result

A contribution-format income statement makes the calculation easy to check:

At nearby volumes, the $20 contribution per order explains the change in profit:

• 4,999 orders: 4,999 × $20 − $100,000 = −$20.
• 5,000 orders: 5,000 × $20 − $100,000 = $0.
• 5,001 orders: 5,001 × $20 − $100,000 = $20.

On a break-even chart, the horizontal axis shows orders and the vertical axis shows dollars. Revenue is $50 × orders; total operating cost is $100,000 + $30 × orders. The lines cross at 5,000 orders and $250,000. Their vertical separation represents the operating loss or profit.^[3]

How a Price Cut Changes Break-Even

Suppose the company reduces its price from $50 to $45. For this scenario, variable cost stays at $30 per order and fixed costs stay at $100,000. Contribution falls to $45 − $30 = $15 per order. Lower contribution means more orders are required to cover the same fixed costs.^[4]

New break-even quantity = $100,000 / $15 = 6,666.666… orders. Because orders are indivisible, round up to 6,667 orders to avoid a loss:

• 6,666 × $15 − $100,000 = −$10.
• 6,667 × $15 − $100,000 = $5.

The revenue approach agrees. The new contribution ratio is $15 / $45 = 1/3, so continuous break-even sales equal $100,000 / (1/3) = $300,000. Whole orders require slightly more revenue: 6,667 × $45 = $300,015. Variable costs are 6,667 × $30 = $200,010, leaving $300,015 − $200,010 − $100,000 = $5 of profit.

Avoiding a Loss vs. Preserving Profit

The revised break-even point does not tell management how many orders would preserve the original profit. Suppose the company expected to sell 6,500 orders at $50:

Original operating profit = 6,500 × $20 − $100,000 = $30,000.

At the reduced price and unchanged volume, profit becomes 6,500 × $15 − $100,000 = −$2,500. To retain the original $30,000 profit, required orders become:

($100,000 + $30,000) / $15 = 8,666.666…, rounded up to 8,667 orders. Those orders produce 8,667 × $15 − $100,000 = $30,005.

The price reduction removes 6,500 × $5 = $32,500 of contribution from the original orders. The additional 8,667 − 6,500 = 2,167 orders contribute 2,167 × $15 = $32,505, replacing that lost margin with $5 left over.

This comparison assumes the lower price applies to every order. Before adopting the cut, investigate price elasticity of demand and fulfillment capacity. The arithmetic identifies the required volume; it does not establish that customers will buy that much.

Extending the Formula to Target Profit

Most plans aim to earn more than zero. Add the desired operating profit to fixed costs, then divide by contribution per unit or the contribution ratio.^[3]

Return to the original $50 price and $30 variable cost. For a $40,000 monthly operating-profit target:

• Orders: ($100,000 + $40,000) / $20 = 7,000.
• Sales revenue: ($100,000 + $40,000) / 0.40 = $350,000.
• Profit check: $350,000 − (7,000 × $30) − $100,000 = $40,000.

Break-even is the target-profit formula with a target of $0. A net-income target would require additional consideration of interest and income taxes.

Margin of Safety: The Sales Cushion

The margin of safety measures how far forecast or actual sales exceed break-even sales. It expresses the sales decline that would bring the business back to break-even under unchanged assumptions.^[5]

At the original price and costs, a forecast of 6,500 orders gives:

• Unit cushion: 6,500 − 5,000 = 1,500 orders.
• Percentage cushion: 1,500 / 6,500 × 100 = approximately 23.1%.
• Revenue cushion: (6,500 × $50) − $250,000 = $75,000.

A decline of 1,500 orders from the forecast reaches break-even. The larger the cushion, the farther sales can decline before the model produces a loss. The percentage is a measure of distance from break-even, not a probability of losing money.

Contribution Margin vs. Profit Margin

A positive contribution ratio can coexist with an operating loss when total contribution falls short of fixed costs. Gross margin is different again: it subtracts cost of sales, whose classification differs from separating all costs into fixed and variable behavior.^[2][6] See gross, operating and net profit margins for the financial-statement measures.

How to Use Break-Even Analysis in a Plan

1. Choose the period and unit. Define an order, package or other sale clearly. Match monthly costs with monthly sales.
2. Build the cost assumptions. Separate variable operating costs from total fixed operating costs. Split mixed costs into their relevant components.
3. Calculate and prove the threshold. Find contribution, calculate units and revenue, round indivisible units up, and check the result against total costs.
4. Compare with demand and capacity. Estimate achievable sales, calculate the margin of safety and confirm the business can fulfill the required volume at the assumed costs.
5. Test changes and track results. Recalculate for different prices and costs. Use variance analysis to investigate differences between actual results and the plan.

A Service-Business Example

The method works for services as well as physical products, provided the unit and associated costs are defined consistently.^[3]

Common Mistakes in Break-Even Analysis

• Dividing fixed costs by selling price. Use contribution per unit, because part of each sale covers variable costs.
• Treating fixed cost per unit as constant. The model holds total fixed costs constant. Their allocated amount per unit changes with volume.
• Mixing periods or cost measures. Match the period, and distinguish variable cost per unit from total variable spending.
• Rounding down or rounding ratios too early. Retain precision during the calculation, then round whole-order requirements up.
• Assuming more revenue means more profit. A discount can increase sales while reducing total contribution. Compare profit under both price-and-volume scenarios.
• Using break-even sales as the margin-of-safety denominator. Divide the cushion by the forecast or actual sales being evaluated.

Limitations of Break-Even Analysis

Costs and demand can change together. Higher volumes may introduce supplier discounts, overtime or capacity constraints. Mixed costs contain both fixed and variable elements. Model these effects explicitly when the constant-cost approximation becomes unsuitable.^[1][5]

Product mix and inventory matter. Multiple products require an assumed sales mix; a shift toward lower-contribution products changes the revenue needed to break even. These examples also assume no inventory change, avoiding differences between production and sales that can affect reported profit.^[5]

Operating profit does not establish cash sufficiency. Depreciation can be an operating expense without a current cash payment. Collections, inventory purchases, capital spending and debt principal create separate cash requirements.^[6] Review the statement of cash flows and working capital management alongside the operating model.

Decisions about temporary shutdown or permanent exit require additional analysis. The separate guide to breakeven and shutdown points covers that economic decision framework.

Sources

Sources consulted October 20, 2026. All business examples and figures are hypothetical.

1. U.S. Small Business Administration, Plan your business, Calculate your startup costs: Break-even point, Getting started, and Tips and tricks.
2. OpenStax, Contribution Margin, Principles of Accounting, Volume 2: Managerial Accounting, section 3.1; Unit Contribution Margin, Contribution Margin Ratio, and Total Contribution Margin.
3. OpenStax, Calculate a Break-Even Point in Units and Dollars, section 3.2; operating-income, revenue, target-profit, and service-organization examples.
4. OpenStax, Perform Break-Even Sensitivity Analysis for a Single Product Under Changing Business Situations, section 3.3; Change in Sales Price and Table 3.1.
5. ACCA, Cost-volume-profit analysis, Margin of safety, Contribution to sales ratio, and Limitations of cost-volume profit analysis.
6. U.S. Securities and Exchange Commission, Beginners’ Guide to Financial Statement, Income Statements and Cash Flow Statements, including operating, investing, and financing activities.