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Break-even calculator with steps

Find how many units a business must sell to cover its costs. Change any number and the working updates instantly.

Your numbers

Break-even point600 units$30,000 in sales

Step-by-step solution

  1. 1
    Find the contribution margin per unitSelling price − variable cost per unit$50 − $30 = $20 per unit
  2. 2
    Divide fixed costs by the contribution marginRound up, because you can't sell part of a unit$12,000 ÷ $20 = 600 → 600 units
  3. 3
    Convert units into break-even salesBreak-even units × selling price600 × $50 = $30,000
  4. 4
    Check with the contribution margin ratioContribution margin ÷ selling price$20 ÷ $50 = 40% of every sale covers fixed costs

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What is the break-even point?

The break-even point is the level of sales where total revenue equals total costs. At that point the business makes neither a profit nor a loss. Every unit sold above it adds its contribution margin to profit, and every unit below it leaves part of the fixed costs uncovered.

Break-even analysis is part of cost-volume-profit (CVP) analysis, one of the first topics in managerial accounting.

Break-even formulas

Break-even units = Fixed costs ÷ (Price − Variable cost per unit)The bottom part, price minus variable cost, is the contribution margin per unit.
Break-even sales ($) = Fixed costs ÷ Contribution margin ratioContribution margin ratio = Contribution margin ÷ Price
Units for a target profit = (Fixed costs + Target profit) ÷ Contribution marginUse this when the question asks how many units are needed to earn a given profit.

Worked example

A shop has fixed costs of $12,000 a month. It sells mugs for $50 each, and each mug costs $30 to make.

  1. Contribution margin: $50 − $30 = $20 per mug.
  2. Break-even units: $12,000 ÷ $20 = 600 mugs.
  3. Break-even sales: 600 × $50 = $30,000.
  4. To earn a $4,000 profit: ($12,000 + $4,000) ÷ $20 = 800 mugs.

Frequently asked questions

What is the break-even point?

The break-even point is the level of sales where total revenue equals total costs, so the business makes neither a profit nor a loss.

What is contribution margin?

Contribution margin is the selling price minus the variable cost per unit. It is the amount each sale contributes toward fixed costs and then profit.

Why do you round the units up?

A business can't sell part of a unit. Rounding down would leave it just short of covering its costs, so break-even units are always rounded up.

How do I include a target profit?

Add the target profit to fixed costs, then divide by the contribution margin per unit: (Fixed costs + Target profit) ÷ Contribution margin.

What if the price is lower than the variable cost?

Then the contribution margin is zero or negative. The business loses money on every sale and can never break even, however many units it sells.

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