Break-Even Calculator

Fixed costs:

Use the same period for fixed costs and planned unit sales.

Selling price per unit:

Use one representative price for this single-product or service model.

Variable cost per unit:

Split semi-variable expenses into fixed and per-unit portions where possible.

Planned unit sales:

This drives planned profit and margin-of-safety results.

units

Target profit:

Use zero for break-even only.

Currency display:

Keep every money input in the same currency.

Fixed-cost reserve:

Use only for a deliberate contingency allowance.

Price stress:

Negative values model discounting; positive values model a higher realized price.

Variable-cost stress:

Positive values model cost inflation; negative values model savings.

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A sales forecast can show healthy revenue while the business still loses money. Break-even analysis finds the volume where revenue has covered both the costs that stay fixed for a period and the costs attached to each unit sold. At that crossover, profit is zero.

The calculation is useful before launching a product, setting a price, adding capacity, or agreeing to a discount. It also exposes a basic constraint: every unit must leave a positive contribution after its variable cost. If a unit sells for no more than it costs to deliver, higher volume cannot recover fixed costs.

Cost terms used in break-even analysis
Term	Meaning	Typical examples
Fixed costs	Costs that do not change with modeled sales volume during the chosen period	Rent, base salaries, insurance
Variable cost	Cost added by one more unit or service	Materials, transaction fees, fulfillment
Contribution per unit	Selling price minus variable cost per unit	The amount available for fixed costs and profit
Margin of safety	Planned sales above or below the break-even volume	Demand headroom or shortfall

All values must cover the same period. Monthly fixed costs paired with annual unit sales produce a meaningless threshold. The model also represents one product or one representative unit at a time; a mixed catalog needs a weighted contribution margin or a separate product-mix analysis.

Break-even is a planning estimate, not proof that demand exists or cash will arrive on time. Capacity limits, taxes, stepped costs, returns, financing, and price changes can move the real crossover. Stressing price and cost assumptions is therefore more informative than treating one threshold as certain.

How to Use This Tool:

Choose one product or service and one planning period, then keep every cost and sales input on that same basis.

Enter Fixed costs, Selling price per unit, and Variable cost per unit. Split semi-variable expenses into fixed and per-unit portions where possible.
Enter Planned unit sales and an optional Target profit. Use zero target profit when only the break-even threshold matters.
Apply Fixed-cost contingency, Price stress, or Variable-cost stress to test a deliberate scenario. Negative price stress models discounting; positive variable-cost stress models cost inflation.
Review Break-even units, Target-profit units, Planned profit, and Margin of safety. If selling price after stress is not greater than variable cost after stress, revise the assumptions before using the result.

Interpreting Results:

Break-even units is rounded up to the next whole sellable unit. The exact crossover remains useful for revenue and margin calculations, but selling a fraction of a unit usually cannot cover the remaining cost. Target-profit units is rounded up in the same way.

A positive Margin of safety means planned volume is above the exact break-even point; a negative value shows the shortfall. Planned profit and the cost-volume chart should agree with that sign. Compare the required whole-unit volume with realistic demand and operating capacity before treating the plan as achievable.

The selected currency changes formatting only. No exchange-rate conversion occurs, so every money input must already use the same currency.

Technical Details:

Unit break-even follows cost-volume-profit analysis. Stress settings first adjust fixed cost, selling price, and variable cost; all later results use those effective values.

Formula Core

Let F be fixed costs, P the selling price per unit, V the variable cost per unit, and b, p, and v their percentage stress adjustments. The effective values and contribution C are:

\begin{array}{l} F_{e} = F (1 + \frac{b}{100}) \\ P_{e} = P (1 + \frac{p}{100}) \\ V_{e} = V (1 + \frac{v}{100}) \\ C = P_{e} - V_{e} \end{array}

Contribution must be greater than zero. Break-even and target-profit volumes divide the cost to recover by that contribution:

\begin{array}{l} Q_{BE} = \frac{F_{e}}{C} \\ Q_{target} = \frac{F_{e} + T}{C} \end{array}

For planned volume Q, planned profit and margin of safety are calculated from the same effective assumptions:

\begin{array}{l} Profit = Q C - F_{e} \\ M_{units} = Q - Q_{BE} \\ M_{%} = \frac{M_{units}}{Q} \times 100 \end{array}

Break-even formula symbols
Symbol	Meaning	Unit
F_e	Effective fixed costs after contingency	currency per period
P_e	Effective selling price after price stress	currency per unit
V_e	Effective variable cost after cost stress	currency per unit
C	Contribution per unit	currency per unit
T	Target profit	currency per period
Q	Planned unit sales	whole units per period

Exact thresholds retain full numeric precision. The displayed whole-unit plan applies a ceiling, so any fractional break-even or target volume is rounded upward. Money and percentages are formatted afterward rather than fed back into later calculations. Fixed-cost contingency accepts 0% to 50%, while price and variable-cost stress each accept −50% to 50%.

Limitations:

This is an educational single-period, single-product planning model, not financial advice or a cash-flow forecast.

It assumes selling price and variable cost stay constant across the modeled volume.
It does not model product mix, taxes, financing, returns, bad debt, inventory timing, or stepped fixed costs.
Stress percentages describe scenarios, not probabilities. Compare several plausible cases and document the assumptions behind each one.

Worked Examples:

A service with a profit target

With 1,000 in fixed costs, a 50 selling price, and a 30 variable cost, contribution is 20 per unit. Break-even is 50 units. A 500 profit target requires 75 units, while a plan for 100 units produces 1,000 profit and a 50% margin of safety. These amounts are valid only when every input uses the same currency and period.

References:

Break-even point, U.S. Small Business Administration, updated October 3, 2024.