Break Even Calculator

Calculate the exact units sold or revenue needed to cover all fixed and variable costs. Free break-even analysis with interactive chart, contribution margin, and target profit scenarios.

Pricing and cost structure

Calculation detail mode

Selling price per unit

Total fixed costs (Overhead)

Variable cost per unit

Target profit goal (Optional)

Quick profit targets:

Estimated sales volume (Optional)

units

Break-even volume

834 units

Exact: 833.3 units ($83,333.33 in revenue)

Break-even revenue

$83,333.33

Gross sales required to cover all costs

Unit contribution margin

$60.00

60.0% contribution margin ratio

Total fixed costs

$50,000.00

$40.00 variable cost / unit

Performance at estimated volume (1,000 units)

Operating Profit

Projected revenue

$100,000.00

Total costs

$90,000.00

Net operating profit

$10,000.00

Margin of safety

16.7%

167 units

Unit price revenue allocation

Price / Unit$100.00

Contribution margin (Fixed overhead & profit)$60.0060.0%
Variable cost (Direct production & sales)$40.0040.0%

Cost-Volume-Profit scenario table

Projected revenue, total costs, and net profit across operating capacities.

Volume	Units	Revenue	Total Costs	Net Profit / Loss
50% Volume	417	$41,700.00	$66,680.00	-$24,980.00
75% Volume	625	$62,500.00	$75,000.00	-$12,500.00
Break-Even (100%)BEP	833	$83,300.00	$83,320.00	-$20.00
125% Volume	1,042	$104,200.00	$91,680.00	+$12,520.00
150% Volume	1,250	$125,000.00	$100,000.00	+$25,000.00
200% Volume	1,667	$166,700.00	$116,680.00	+$50,020.00

Break-even calculation steps

Step-by-step mathematical proof from inputs to financial break-even.

Unit contribution margin (CM)
$\text{CM} = P - V = 100 - 40 = 60$
Each unit sold for $100.00 generates $60.00 in contribution margin after covering its $40.00 variable cost.
Contribution margin ratio (CMR)
$\text{CMR} = \frac{\text{CM}}{P} = \frac{60}{100} = 60.00\%$
Contribution margin represents 60.00% of every revenue dollar, while variable costs consume 40.00%.
Break-even point in units
$\text{BEP}_{\text{units}} = \frac{\text{Fixed Costs}}{\text{CM}} = \frac{50,000}{60} = 833.33 \approx 834 \text{ units}$
Divide total fixed overhead ($50,000.00) by unit contribution margin ($60.00) to find the volume needed to cover all fixed costs.
Break-even point in sales revenue
$\text{BEP}_{\text{sales}} = \frac{\text{Fixed Costs}}{\text{CMR}} = \frac{50,000}{0.6000} = 83,333$
Multiply break-even units by unit price or divide fixed costs by contribution margin ratio to determine required gross sales.
Margin of safety at estimated volume (1,000 units)
$\text{Margin of Safety} = \frac{\text{Expected Sales} - \text{BEP Sales}}{\text{Expected Sales}} = \frac{100,000 - 83,333}{100,000} = 16.67\%$
Estimated sales of $100,000.00 exceed break-even sales by $16,666.67 (16.67% buffer before incurring losses).

Report tool

Understanding Break-Even Analysis in Business

The break-even point is one of the most fundamental financial benchmarks in managerial accounting and business strategy. It represents the exact sales volume, measured either in units sold or total revenue generated, where total revenue exactly equals total costs. At this specific point, a business generates zero operating profit and incurs zero net loss.

Performing regular Cost-Volume-Profit (CVP) analysis helps founders, finance directors, and pricing managers make critical decisions. Whether launching a new product line, evaluating capital investments, adjusting retail prices, or setting quarterly sales quotas, knowing your break-even requirements establishes the minimum threshold for business survival. If you are tracking monthly cash depletion before reaching operational break-even, model your remaining cash reserves using the burn rate calculator. To evaluate your broader bottom-line results beyond direct operating thresholds, compare your projections using the accounting profit calculator.

Core Components of Break-Even Analysis

Every break-even calculation relies on categorizing company expenditures into two distinct categories based on their behavior relative to production or sales volume:

1. Fixed Costs (Overhead)

Fixed costs remain constant in total dollar amount regardless of whether you produce 10 units or 10,000 units during a given operating period. Examples include commercial lease payments, administrative and executive salaries, liability insurance, equipment depreciation, and software subscriptions. When deciding whether to develop internal workflow systems or pay ongoing SaaS overhead, analyze your options with the build or buy calculator. To see how overhead spreads out as production increases, use the average fixed cost calculator.

2. Variable Costs (Direct Production Costs)

Variable costs fluctuate in direct proportion to production and sales volume. Every unit manufactured or delivered adds a specific variable expense, such as raw materials, direct hourly production labor, packaging boxes, delivery postage, and credit card gateway transaction fees. To evaluate per-unit production cost efficiencies, consult the average variable cost calculator.

3. Unit Selling Price

The gross realized revenue per single unit sold after accounting for standard customer discounts or allowances.

Key Mathematical Formulas

Cost-Volume-Profit analysis uses three primary mathematical relationships to determine operational solvency and required sales levels:

1. Unit Contribution Margin (CM)

The contribution margin is the dollar amount remaining from each unit sale after covering that unit's direct variable costs. This residual cash flow directly contributes toward paying down fixed overhead expenses and, once fixed costs are fully covered, creating net profit:

CM = P - V

Where P is the selling price per unit, and V is the variable cost per unit.

2. Contribution Margin Ratio (CMR)

The contribution margin ratio expresses the contribution margin as a percentage of the selling price. It shows the percentage of every sales dollar available to cover fixed costs:

CMR = \frac{CM}{P} = \frac{P - V}{P}

3. Break-Even Point in Units

To find the physical unit volume needed to break even, divide total fixed costs by the unit contribution margin:

BEP_{\text{units}} = \frac{\text{Total Fixed Costs}}{CM} = \frac{\text{Total Fixed Costs}}{P - V}

4. Break-Even Point in Sales Dollars (Revenue)

For retail, consulting, or multi-product businesses where counting individual units is impractical, the break-even point in dollar revenue is calculated by dividing fixed costs by the contribution margin ratio:

BEP_{\text{sales}} = \frac{\text{Total Fixed Costs}}{CMR} = BEP_{\text{units}} \times P

Target Profit and Margin of Safety Modeling

While breaking even ensures business continuity, companies operate to generate a return on investment. Cost-Volume-Profit formulas readily expand to determine the sales needed to reach a specific operating profit target:

\text{Target Profit Units} = \frac{\text{Total Fixed Costs} + \text{Target Operating Income}}{P - V}

Additionally, the Margin of Safety measures the cushion between your expected sales volume and the break-even threshold. It indicates how much sales can drop before the business begins sustaining operating losses:

\text{Margin of Safety (\%)} = \frac{\text{Expected Sales Revenue} - \text{Break-Even Revenue}}{\text{Expected Sales Revenue}} \times 100

A high margin of safety (such as 30% or higher) indicates a resilient business model that can absorb economic downturns or competitive pricing pressures without slipping into the red. When planning future expansions or balance sheet liquidity alongside operational sales goals, businesses also estimate external capital requirements with the additional funds needed calculator.

Comprehensive Worked Example

Consider an artisan coffee roasting company evaluating a new packaged single-origin product:

Monthly Fixed Overhead (TFC): $12,000 (facility lease, roasting machine depreciation, core staff)
Selling Price per Bag (P): $20.00
Variable Cost per Bag (V): $8.00 ($5.50 green beans, $1.50 packaging bag, $1.00 shipping/fulfillment)
Monthly Target Profit (TP): $6,000
Estimated Monthly Sales: 1,800 bags

Step-by-Step Calculation

1. Unit Contribution Margin: $20.00 - $8.00 = $12.00 per bag

2. Contribution Margin Ratio: $12.00 / $20.00 = 60.0%

3. Break-Even Volume in Bags: $12,000 / $12.00 = 1,000 bags per month

4. Break-Even Monthly Revenue: 1,000 bags x $20.00 = $20,000 (or $12,000 / 0.60 = $20,000)

5. Required Bags for $6,000 Target Profit: ($12,000 + $6,000) / $12.00 = 1,500 bags ($30,000 in revenue)

6. Margin of Safety at 1,800 Estimated Bags: 1,800 - 1,000 = 800 bags ($16,000 revenue buffer, or 44.4% margin of safety)

Strategies to Lower Your Break-Even Point

Lowering your break-even point reduces operational risk and accelerates profitability. Businesses achieve this through four core levers:

Increase Selling Prices: Raising price expands the unit contribution margin, provided price elasticity does not trigger a disproportionate drop in unit demand.
Negotiate Direct Variable Costs: Securing volume discounts from suppliers, streamlining packaging, or automating production reduces variable cost per unit.
Eliminate Non-Essential Overhead: Downsizing unused commercial real estate, refinancing long-term equipment debt, or renegotiating service vendor contracts directly lowers total fixed obligations.
Optimize Product Sales Mix: Prioritizing marketing and sales efforts toward higher-margin product variations raises the blended contribution margin ratio across the company.

Frequently asked questions

What is the difference between break-even point in units and dollars?

Break-even in units tells you the exact physical quantity of products or service packages you must sell to cover expenses. Break-even in dollars tells you the total gross sales revenue required. Single-product businesses often use units, while multi-product retailers and restaurants rely on dollar revenue using the contribution margin ratio.

What happens when variable cost per unit is higher than the selling price?

When variable cost equals or exceeds the selling price, the contribution margin is zero or negative. In this situation, the business loses money on every single unit sold, meaning break-even is mathematically impossible regardless of sales volume. The company must either raise its selling price or reduce direct production costs before scaling.

How do price discounts affect the break-even point?

Offering a price discount reduces the unit contribution margin, which disproportionately increases the number of units required to break even. For example, if a product selling for $100 with a $60 variable cost is discounted by 10% to $90, the contribution margin drops from $40 to $30 (a 25% decrease), requiring 33.3% more unit sales just to cover the same fixed costs.

Why is the margin of safety important for lenders and investors?

The margin of safety shows how much revenue can decline before a business begins operating at a loss and risking debt default. Lenders and equity investors look for a comfortable margin of safety as proof that the business can weather market volatility, seasonality, and competitive headwinds.

Does break-even analysis include income taxes and interest?

Standard operational break-even analysis focuses on operating income before interest and income taxes (EBIT). However, if debt service interest is contractual and fixed, companies often include interest expense within total fixed costs to find the comprehensive cash flow break-even point. For underwriting individual rental properties and commercial real estate against mortgage debt service, use the break-even ratio calculator.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.