What is the break even point formula?

Break even units = fixed costs / (price per unit - variable cost per unit). Break even revenue = break even units x price per unit.

How do you calculate break even point with an example?

With $5,000 in fixed costs, an $8 variable cost, and a $20 price: contribution margin = $12, break even units = 5,000 / 12 = 416.67, so 417 units. Break even revenue = 417 x $20 = $8,340.

Should you round break even units up or down?

Always round up. 416.67 units means 416 units still leaves you short, so you need 417 whole units to be fully covered.

What is the break even revenue formula?

Break even revenue = break even units x price per unit. Equivalently, fixed costs / contribution margin ratio, where the ratio is (price - variable cost) / price.

Does the break even formula work for service businesses?

Yes. Replace units with billable sessions, hours, or projects: fixed monthly costs divided by the contribution margin per session. A consultant with $9,000 in fixed costs and a $105 margin per session breaks even at 86 sessions a month.

Break Even Point Formula: Units and Revenue, Explained With Examples

Break even units = fixed costs / (price per unit minus variable cost per unit). Break even revenue = break even units x price per unit. For example, $5,000 in monthly fixed costs with an $8 variable cost and a $20 price breaks even at 417 units, or $8,340 in revenue. Always round units up: 416.67 units means 416 still leaves you short.

The two formulas

Break even units = fixed costs / contribution margin per unit, where contribution margin per unit = price per unit minus variable cost per unit. That is the primary formula, and it answers the question in units sold.

Break even revenue = break even units x price per unit. That answers the same question in dollars. There is also a one-step revenue formula: fixed costs / contribution margin ratio. Both give the same revenue figure. Use whichever version matches how you think about your sales, units or dollars.

Worked example 1: a product business

Monthly fixed costs: $5,000 (rent, salaries, insurance). Variable cost per unit: $8 (materials, packaging, shipping). Price per unit: $20.

Step 1: contribution margin = $20 minus $8 = $12 per unit. Step 2: break even units = $5,000 / $12 = 416.67. Step 3: round up to 417 whole units, because you cannot sell two-thirds of a unit and 416 units would leave costs uncovered. Step 4: break even revenue = 417 x $20 = $8,340.

Verify: at 417 units, revenue is $8,340. Variable costs are 417 x $8 = $3,336. Total costs are $5,000 + $3,336 = $8,336. Revenue covers costs with $4 to spare, which is the rounding cushion. At 416 units, revenue is $8,320 against $8,328 in costs: an $8 shortfall. The round-up rule is not pedantry; it is the difference between covering costs and missing them.

Worked example 2: a service business

The formula works for services too; just replace "units" with whatever you sell: sessions, hours, or projects. A consultant has $9,000 in monthly fixed costs (office, insurance, software, base salary). Each client session is priced at $150, with $45 of variable cost (contractor help, materials, travel). Contribution margin per session = $150 minus $45 = $105. Break even = $9,000 / $105 = 85.71, rounded up to 86 sessions a month. Break even revenue = 86 x $150 = $12,900.

Sanity check against a calendar: 86 sessions a month is about 21 to 22 a week. If the consultant can realistically deliver 25 sessions a week, the business model works. If 15 is the ceiling, either the price must rise, the variable cost must fall, or fixed costs must shrink. The formula turns a vague worry into a specific number to beat.

Units vs revenue: which to use

Use units when you plan in volume: production runs, staffing, inventory orders. Use revenue when you plan in money: cash flow, loan covenants, revenue targets. They are the same answer expressed two ways, so pick the one your team actually discusses.

The revenue shortcut: break even revenue = fixed costs / contribution margin ratio. For the product example, the ratio is $12 / $20 = 0.60, and $5,000 / 0.60 = $8,333.33. That is the exact, unrounded figure; rounding units to 417 first gave $8,340. The $6.67 gap is the rounding cushion again. Either is defensible for planning, but for quoting a target, the rounded-up revenue ($8,340) is the honest one.

What counts as fixed vs variable

Fixed costs do not change with sales volume over the planning period: rent, base salaries, insurance, software subscriptions, loan payments. Variable costs move with each unit: materials, packaging, shipping, payment-processing fees, sales commissions.

The gray zone is semi-variable costs: a phone plan with a base fee plus per-minute charges, or staff who are salaried but earn overtime in busy months. Split them: the base goes in fixed, the per-unit portion goes in variable. Getting this split right matters more than people expect, because every dollar misclassified shifts the contribution margin and therefore the break even.

Common mistakes

Rounding down is the classic error. 416.67 rounds to 417, never 416. Rounding down sets a target that mathematically cannot cover costs.

Using gross revenue instead of contribution margin in the denominator is the second. Dividing fixed costs by price ($5,000 / $20 = 250) ignores variable costs entirely and produces a break even that is dangerously low.

The third is stale inputs. Prices, supplier costs, and rents drift. A break even computed in January can be wrong by summer. Recompute quarterly, or whenever a major cost or price changes, and keep the inputs honest.