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How To Calculate Contribution Margin

Contribution margin is what each sale leaves after its own variable costs, and it is the number that decides how many sales you need to break even.

Quick Answer

contribution margin = (price - variable cost per unit) / price

CM
Contribution margin, as a percentage of price
C
Contribution per unit, in currency
P
Selling price per unit
V
Variable cost per unit

Subtract variable cost per unit from price, then divide by price. At forty five a unit with twenty seven of variable cost the margin is forty percent, or eighteen a unit, and break even is seven thousand units.

What Is Contribution Margin?

Contribution margin is price minus variable cost per unit, divided by price. At forty five a unit with twenty seven of variable cost the margin is forty percent, or eighteen a unit, and that eighteen is what each sale contributes towards covering fixed costs.

The word contribution is the whole idea. A sale does not simply produce profit; it produces an amount left over after the costs that only existed because of that sale, and that leftover is what pays for the factory, the salaries and everything else that does not vary with volume.

Variable costs move with units. Materials, direct labour, packaging, card fees and shipping per parcel all belong here. The test is simple: if producing one more unit would incur the cost, it is variable, and it belongs in the calculation.

Fixed costs stay put. Rent, insurance, salaried staff and annual software licences do not change because you sold one more item, so they are excluded from the margin and instead recovered out of it. Mixing them into the variable cost is the most common error in this area.

Break-even units are fixed costs divided by contribution per unit. One hundred and twenty six thousand of fixed costs against eighteen of contribution is seven thousand units, and that is the volume at which the business stops losing money.

Break-even revenue is the same figure expressed in sales: break-even units times price. Seven thousand units at forty five is three hundred and fifteen thousand of revenue, which is the number most useful when setting a sales target.

A higher contribution margin does not automatically mean a better product. A product with a thin margin and very low fixed costs can be more profitable than a rich-margin product carrying heavy overhead, because the margin only matters after the fixed bill is covered.

The measure also drives the mix decision. When two products share the same constrained capacity, the one with the higher contribution per unit of the constraint should be prioritised, even if its margin percentage is lower.

Contribution margin is the per-unit version of what gross margin does in aggregate. Gross margin compares total revenue with the cost of goods sold, while contribution margin compares a single price with its own variable cost, and the two should broadly agree.

Pricing decisions flow directly from it. Cutting price by ten percent on a forty percent margin raises break-even volume by about a sixth, because the denominator shrinks while the fixed cost stays the same. That relationship is why discounting is more expensive than it looks.

Finally, contribution is a cash item only to the extent its components are. If a variable cost is an accrual rather than a payment, or if the sale is invoiced but unpaid, the contribution figure needs reading against the cash position like any other margin.

The measure also works in reverse as a costing diagnostic. If contribution per unit has fallen while the price is unchanged, then one of the variable costs has crept up, and splitting the change into price, volume and mix effects shows which one did it. That is the practical use of the figure month after month.

Formula

CM = (P - V) / P

The share of the price left after variable cost. Multiply by a hundred for a percentage.

SymbolMeaning
CMContribution margin
PPrice
VVariable cost

units = fixed costs / (P - V)

Volume at which total contribution equals total fixed cost, so the business breaks even.

SymbolMeaning
QBreak even units
FFixed costs
PPrice
VVariable cost

How To Calculate Contribution Margin

  1. 1

    Identify the variable costs of one unit

    Materials, direct labour, packaging, per-order payment fees and shipping. If producing one more unit would incur it, it is variable.

  2. 2

    Subtract them from the price

    Forty five minus twenty seven leaves eighteen of contribution per unit. This is what each sale adds towards fixed costs.

  3. 3

    Divide by the price for the margin percentage

    Eighteen over forty five is zero point four, or forty percent. This is the figure to compare across products.

  4. 4

    Divide fixed costs by contribution per unit

    One hundred and twenty six thousand over eighteen is seven thousand units, which is the break-even volume.

  5. 5

    Multiply by price for break-even revenue

    Seven thousand units at forty five is three hundred and fifteen thousand of revenue, which is the more useful figure for a sales target.

Examples

Example 1: A unit priced at 45 with 27 of variable cost

Price per unit
45
Variable cost per unit
27
Fixed costs
126000
StepCalculationResult
Contribution per unit45 - 2718
Contribution margin18 / 450.4
Break even units126000 / 187000

Result: Forty percent contribution margin gives 18 a unit, so 126000 of fixed costs breaks even at 7000 units.

Example 2: A thin margin product priced at 22

Price per unit
22
Variable cost per unit
19.5
Fixed costs
126000
StepCalculationResult
Contribution per unit22 - 19.52.5
Contribution margin2.5 / 220.1136
Break even units126000 / 2.550400

Result: An 11.4 percent margin means break even needs 50400 units, so volume is everything at this price point.

Example 3: A high margin service priced at 400

Price per unit
400
Variable cost per unit
120
Fixed costs
126000
StepCalculationResult
Contribution per unit400 - 120280
Contribution margin280 / 4000.7
Break even units126000 / 280450

Result: A 70 percent margin means only 450 sales are needed to break even, though each sale takes far longer to close.

Calculator

Contribution margin

40.00%

Contribution per unit
$18.00
Break even units
7,000
Break even revenue
$315,000.00

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the Contribution Margin calculator page.

Common Mistakes

  • Including fixed costs in the variable cost

    Rent, salaries and annual licences do not change with volume. Including them understates contribution and inflates the break-even volume.

  • Comparing margin percentages across products without volume

    A rich percentage on a slow product can be worse than a thin percentage on a fast one. Contribution per unit, and per unit of constraint, is what matters.

  • Discounting without recomputing break even

    Cutting price on a forty percent margin raises break-even volume by roughly a sixth, because contribution per unit falls while fixed costs do not.

  • Forgetting per-order variable costs

    Payment processing, packaging and shipping are all variable. Omitting them inflates the margin and the break-even figure.

  • Treating contribution as profit

    Contribution only exists to cover fixed costs. Profit is whatever is left after those are paid, which is a separate and later number.

  • Ignoring the constrained resource

    When capacity is the limit, prioritise the product with the highest contribution per unit of that constraint rather than the highest margin percentage.

  • Assuming a high margin means a good product

    A thin-margin product with low fixed costs can beat a rich-margin product carrying heavy overhead, because the margin only matters after the fixed bill.

FAQ

What is the formula for contribution margin?

Price minus variable cost per unit, divided by price. Forty five with twenty seven of variable cost gives forty percent, or eighteen a unit.

What is the difference between contribution margin and gross margin?

Gross margin compares total revenue with total cost of goods sold. Contribution margin compares a single price with its own variable cost, and the two should broadly agree.

How do I calculate break even units?

Divide fixed costs by contribution per unit. One hundred and twenty six thousand over eighteen is seven thousand units.

What costs are variable?

Anything that would be incurred by producing one more unit: materials, direct labour, packaging, per-order payment fees and shipping.

Can contribution margin be negative?

Yes, if variable cost exceeds price. Every sale then increases the loss, and the product cannot be made viable by raising volume alone.

Why does a small price cut raise break even so much?

Because break-even volume is fixed costs divided by contribution. Shrinking contribution by ten percent raises the required volume by more than ten percent.

References

  1. [1]Wikipedia, Contribution margin — https://en.wikipedia.org/wiki/Contribution_margin
  2. [2]Wikipedia, Cost-volume-profit analysis — https://en.wikipedia.org/wiki/Cost-volume-profit_analysis
  3. [3]Wikipedia, Break-even (economics) — https://en.wikipedia.org/wiki/Break-even_(economics)
  4. [4]Wikipedia, Fixed cost — https://en.wikipedia.org/wiki/Fixed_cost