Break-Even Point Calculator

Professional break even analysis calculator. Compute break-even units, sales revenue, contribution margin, target-profit units, and margin of safety with an accessible, mobile-first tool.

Inputs

Round break-even and target-profit units to whole units; uncheck for decimals.

Costs that stay constant regardless of production volume.

Revenue per unit before discounts, taxes, or fees.

Costs that rise with each unit sold (materials, commissions, shipping).

Desired operating profit before taxes (leave blank for zero).

Forecasted volume used to project profit and margin of safety.

How to Use This Calculator

This professional-grade break-even analysis calculator helps founders, FP&A teams, and operators determine how much revenue is required to cover fixed and variable costs. Enter fixed costs, selling price, and variable cost per unit to compute break-even units, break-even sales, contribution margin, and optional target-profit metrics.

Toggle "Round required units" to force unit-based outputs to whole numbers (recommended when you sell indivisible goods); leave it unchecked to display fractional requirements. Use the expected units input to project profit and the margin of safety using your forecast.

Methodology

The calculator derives the contribution margin per unit by subtracting variable cost from the selling price. That margin first absorbs fixed costs and then accumulates toward any target profit. Break-even units is the volume where total revenue equals total cost, and the margin of safety compares your forecast to that threshold.

  • Contribution margin ratio is the portion of each sale that contributes to fixed costs and profit.
  • Target-profit units extend the same formula by adding the desired profit to fixed costs.
  • Projected profit and margin of safety rely on your expected units, assuming the contribution margin stays constant.

Data Source & Methodology

Authoritative Source: U.S. Small Business Administration (SBA) — “Calculate your break-even point” (accessed 2025). Direct link: sba.gov/business-guide/.../break-even-point/calculate.

Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.

The Formula Explained

Break-even units: Qbe = FC / (P − V)

Break-even sales: Rbe = Qbe × P = FC / (1 − V / P)

Contribution margin: CMu = P − V, CMR = (P − V) / P

Units to achieve target profit: Qtp = (FC + TP) / (P − V)

Projected profit: Profit = Q × (P − V) − FC

Margin of safety: MOS = (Expected Sales − Rbe) / Expected Sales

Glossary of Variables

  • Fixed Costs (FC): Costs that remain constant regardless of output (rent, salaries, etc.).
  • Selling Price per Unit (P): Revenue received per unit sold.
  • Variable Cost per Unit (V): Cost that varies with each unit produced or sold.
  • Contribution Margin per Unit (CMu): P − V; the amount contributing toward fixed costs and profit.
  • Contribution Margin Ratio (CMR): (P − V) / P; contribution margin as a share of the selling price.
  • Break-even Units (Qbe): Units required so that profit equals zero.
  • Break-even Sales (Rbe): Sales revenue at the break-even point.
  • Target Profit (TP): Desired operating profit before taxes.
  • Units for Target Profit (Qtp): Volume needed to achieve the target profit.
  • Margin of Safety (MOS): How far expected sales exceed break-even sales.

How It Works: A Step-by-Step Example

Assume the following:

  • Fixed Costs (FC) = $50,000
  • Selling Price per Unit (P) = $40
  • Variable Cost per Unit (V) = $22

Contribution margin per unit: CMu = $40 − $22 = $18.

Break-even units: Qbe = 50,000 / 18 = 2,777.78 units → round up to 2,778 units.

Break-even sales: Rbe = 2,777.78 × $40 = $111,111.20.

Target profit of $10,000 requires: Qtp = (50,000 + 10,000) / 18 = 3,333.33 → 3,334 units.

Frequently Asked Questions (FAQ)

Is break-even the same as payback?

No. Break-even focuses on covering operating costs with sales; payback measures the time to recover an initial investment from cash inflows.

Should I round break-even units?

In practice, yes—round up to the next whole unit because you cannot sell a fraction of a unit.

Does this calculator include taxes or discounts?

No. Enter prices and costs net of taxes or discounts. If you offer discounts, adjust the selling price accordingly.

Can I use it for services?

Yes. Treat “unit” as a billable hour or service package. Variable cost per unit equals the incremental cost of delivering one unit of service.

What happens if I enter zero price?

The tool will flag an error because contribution margin becomes undefined or negative, and break-even cannot be computed.

How accurate are the results?

Results are computed with double-precision arithmetic and formatted to two decimals for currency. The underlying model assumes linear costs and prices.

Formulas

Break-even units: Qbe = FC / (P − V)

Break-even sales: Rbe = Qbe × P = FC / (1 − V / P)

Contribution margin: CMu = P − V, CMR = (P − V) / P

Units to achieve target profit: Qtp = (FC + TP) / (P − V)

Projected profit: Profit = Q × (P − V) − FC

Margin of safety: MOS = (Expected Sales − Rbe) / Expected Sales

Citations

Financehttps://calcdomain.com/finance · Accessed 2026-01-19

sba.gov/business-guide/.../break-even-point/calculatehttps://www.sba.gov/business-guide/plan-your-business/calculate-your-startup-costs/break-even-point/calculate · Accessed 2025

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).
  • Initial audit spec generated from the HTML extraction.
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm cited sources are authoritative and relevant.
Verified by Ugo Candido Last Updated: 2026-01-19 Version 0.1.0-draft
Version 1.5.0