Accounting Break-Even Point Formula
Learn how to calculate break-even sales units, revenue, contribution margin, and sales needed for a target profit.
A break-even calculation estimates the sales volume required for total contribution from sales to cover fixed costs. It helps connect pricing, direct costs, and overhead to a practical sales target for the same accounting period.
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Break-Even Sales Units
Where:
First find how much one sale contributes after its variable cost. Then divide fixed costs by that contribution to estimate how many units must be sold before profit begins.
Variables Explained
| Variable | What It Means | Unit |
|---|---|---|
| fixedCosts - Total fixed costs | Costs for the chosen period that generally do not change directly with short-term sales volume. | currency |
| sellingPrice - Selling price per unit | The average revenue received for each unit sold, excluding sales taxes where applicable. | currency |
| variableCost - Variable cost per unit | The direct cost that changes with each additional unit sold. | currency |
| contributionMarginPerUnit - Contribution margin per unit | The amount from each sale available to cover fixed costs and then profit. | currency |
| targetProfit - Target profit | An optional profit goal for the same accounting period. | currency |
Step-by-Step Calculation
Calculate contribution margin per unit
Subtract the variable cost of one unit from its selling price. The remainder contributes toward fixed costs and profit.
contributionMarginPerUnit = sellingPrice - variableCost
Calculate contribution margin ratio
Divide the contribution margin per unit by selling price to show the share of revenue remaining after variable costs.
contributionMarginRatio = contributionMarginPerUnit / sellingPrice
Calculate break-even units
Divide fixed costs by the contribution from each unit. Round the result up to a whole unit when planning actual sales.
breakEvenUnits = fixedCosts / contributionMarginPerUnit
Calculate break-even revenue
Multiply the calculated break-even sales volume by the selling price per unit.
breakEvenRevenue = breakEvenUnits * sellingPrice
Calculate units needed for a target profit
Add the desired profit to fixed costs, then divide by the contribution margin per unit.
unitsForTargetProfit = (fixedCosts + targetProfit) / contributionMarginPerUnit
Calculate revenue needed for a target profit
Multiply the target-profit sales volume by selling price to estimate the required revenue.
revenueForTargetProfit = unitsForTargetProfit * sellingPrice
Small product business break-even calculation
Contribution margin per unit
$50 - $30
$20 per unit
Contribution margin ratio
$20 / $50
40%
Break-even units
$10,000 / $20
500 units
Break-even revenue
500 * $50
$25,000
Units for target profit
($10,000 + $5,000) / $20
750 units
Revenue for target profit
750 * $50
$37,500
Final Result
The business breaks even at 500 units and $25,000 in monthly revenue. It needs 750 units and $37,500 in revenue to target a $5,000 monthly profit.
Assumptions
- ✓All costs, prices, and profit targets relate to the same period, such as one month or one year.
- ✓The average selling price and variable cost per unit stay constant across the calculated sales volume.
- ✓Fixed costs remain unchanged within the relevant range of activity.
- ✓Each unit is sufficiently similar that an average price and average variable cost are meaningful.
Limitations
- !Actual revenue can differ because of discounting, returns, sales taxes, bad debts, or changes in customer mix.
- !Capacity limits, stock availability, and staffing needs may make the calculated sales volume impractical.
- !Mixed product businesses may need a weighted-average contribution margin rather than one unit price and cost.
- !The calculation does not separately model financing costs, income taxes, or timing of cash receipts and payments.
Common Mistakes to Avoid
Using total cost per unit as the variable cost when it already includes fixed overhead.
Entering a selling price that includes sales taxes while costs exclude them.
Using costs from one period with sales assumptions from a different period.
Rounding break-even units down instead of up when only whole units can be sold.
Treating gross margin as the same measure as contribution margin without checking which costs are included.
Calculating a break-even point when variable cost is equal to or greater than selling price.
Related Formulas
Frequently Asked Questions
What is the formula for break-even units?
Break-even units equal fixed costs divided by selling price per unit minus variable cost per unit.
How do I calculate break-even revenue?
Multiply break-even units by the selling price per unit. An equivalent approach is fixed costs divided by the contribution margin ratio.
Why must selling price be higher than variable cost?
A positive contribution margin is required because each sale must provide some amount toward fixed costs. If it does not, additional sales do not create a practical break-even point.
Should break-even units be rounded?
If units can only be sold as whole items, round the calculated units up. Rounding down could leave part of fixed costs uncovered.
What is contribution margin per unit?
It is selling price per unit less variable cost per unit. It shows how much each sale contributes toward fixed costs and profit.
Can target profit be included in a break-even calculation?
Yes. Add the target profit to fixed costs before dividing by contribution margin per unit to estimate the sales volume needed.
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