Break-even point is the sales level where total revenue equals total costs. Below that point, the model shows an operating loss. Above it, each additional unit contributes toward operating profit while the price and cost assumptions remain valid.
- Theoretical units
- 4,000
- Sales revenue
- $320,000.00
- Contribution per unit
- $30.00
Show the math
Contribution margin = 80 - 50 = 30Break-even units = 120000 / 30 = 4000Break-even revenue = 4000 × 80 = 320000
What is the break-even point formula?
Fixed costs ÷ (Selling price per unit − Variable cost per unit)The amount in parentheses is the contribution margin per unit. Each sale first contributes this amount toward fixed costs. Operating profit begins only after total contribution has covered the fixed costs for the same period.
Fixed costs ÷ Contribution margin ratioThe contribution margin ratio equals contribution margin per unit divided by selling price per unit. The revenue formula is useful when a business plans in sales dollars instead of individual units.
What figures go into a break-even calculation?
- Fixed costs
- Costs that do not change with unit volume inside the selected period and operating range.
- Selling price per unit
- The revenue received from one consistent product, service, subscription, or other unit.
- Variable cost per unit
- The incremental cost associated with producing or delivering one additional unit.
- Contribution margin per unit
- Selling price minus variable cost. This is the amount one unit contributes toward fixed costs and then profit.
How do you calculate the break-even point?
- Choose one period.
Use monthly fixed costs with monthly volume, or annual fixed costs with annual volume. - Define one unit.
A unit may be a product, service appointment, subscription, booking, or billable hour. - Calculate contribution margin.
Subtract variable cost per unit from selling price per unit. - Divide fixed costs by contribution margin.
The result is the theoretical number of units required for operating profit to reach zero. - Round up and test capacity.
If the result contains a fraction, use the next whole sale and confirm the business can deliver that volume.
Worked example: a subscription business
Assume a business has $120,000 in fixed costs for one year. It charges $80 per subscription and incurs $50 of variable cost for each subscription.
| Contribution margin per subscription | $80 − $50 | $30 |
|---|---|---|
| Break-even subscriptions | $120,000 ÷ $30 | 4,000 |
| Break-even sales revenue | 4,000 × $80 | $320,000 |
| Operating profit at 4,000 subscriptions | $320,000 − $200,000 variable costs − $120,000 fixed costs | $0 |
The result means the business needs 4,000 subscriptions within the modeled year to cover these costs. It does not mean the market contains 4,000 buyers or that the business has enough capacity to serve them.
What decisions can break-even analysis support?
The model connects pricing, costs and sales volume. A manager can use it to test whether a proposed price is workable, translate a budget into a sales target, compare cost structures, or assess whether capacity can support the required volume.
| Change | Effect when other inputs stay constant | Question to investigate |
|---|---|---|
| Higher selling price | Lowers break-even units | Will demand remain stable at that price? |
| Higher variable cost | Raises break-even units | Can sourcing or fulfillment change? |
| Higher fixed costs | Raises break-even units | Does the added capacity create enough sales? |
| Different product mix | Changes the weighted contribution margin | What proportion of each product will be sold? |
Use the scenario analysis to change one assumption at a time. This reveals which input drives the break-even result instead of treating one estimate as certain.
How do you extend break-even analysis to a target profit?
(Fixed costs + Target operating profit) ÷ Contribution margin per unitBreak-even analysis stops at zero operating profit. Adding a target profit converts the same cost-volume-profit structure into a sales goal. Taxes require a separate conversion from desired after-tax profit to pre-tax profit and depend on the relevant jurisdiction.
When does the formula need a different model?
The basic formula assumes a constant selling price, constant variable cost per unit, separable fixed and variable costs, and sales volume equal to production volume. Quantity discounts, step costs, capacity limits, returns, changing prices, and multiple products can break those assumptions.
A multi-product business needs a weighted-average contribution margin based on a defensible sales mix. A project with a large initial investment and cash flows over several years may need NPV, IRR, or payback analysis in addition to operating break-even.
Frequently asked questions
What is the break-even point formula?
Break-even point in units equals fixed costs divided by contribution margin per unit. Contribution margin per unit equals selling price per unit minus variable cost per unit.
How do you calculate break-even sales revenue?
Divide fixed costs by the contribution margin ratio. The contribution margin ratio equals selling price minus variable cost, divided by selling price. You can also multiply theoretical break-even units by selling price when the model uses one product and one constant price.
What counts as a fixed cost or variable cost?
Fixed costs stay unchanged within the modeled activity range and period, such as monthly rent. Variable costs change with each unit sold, such as per-unit materials or transaction fees. A cost can behave differently in another time frame or operating range.
What happens if price equals variable cost per unit?
Contribution margin becomes zero, so no number of sales can recover fixed costs. If variable cost exceeds price, each additional unit increases the loss. The calculator returns an undefined result instead of dividing by zero.
Does the break-even point include profit?
No. At break-even, operating profit is zero because total contribution equals fixed costs. Add the desired operating profit to fixed costs before dividing by contribution margin to calculate a target-profit sales volume.
What is the difference between break-even point and payback period?
Break-even point measures the sales volume or revenue required for operating profit to reach zero. Payback period measures how long cumulative cash inflows take to recover an initial investment. They answer different questions.
Sources and methodology
The formulas and distinctions on this page were checked against the U.S. Small Business Administration break-even guide and OpenStax managerial accounting treatment of break-even units and sales dollars. Calculator output is generated from the displayed inputs and formula.