Cost-volume-profit analysisReviewed 29 Sep 2026Runs in your browser

Break-Even Point & Margin-Markup Analyzer

Find how many units you must sell each month to cover your costs, and how many to reach a profit target. See contribution margin, margin of safety and operating leverage, and convert between margin and markup so your prices really earn what you expect.

Who wrote it

Written by Suhaib Hassan. Formulas follow standard managerial accounting. Our methodology.

How the engine works

It finds the contribution of each unit, divides fixed costs by it for break-even, and converts between margin and markup.

Why we built it

Pricing goes wrong when margin and markup are mixed up or break-even is a guess. This gets both right.

Break-even: costs and revenue

Illustrative presets
rent, salaries, software
$
materials, fees, shipping
$
$
optional
$
Working—
Break-even volume—
—units a month

—

Break-even revenue—
Contribution per unit—
Contribution margin—
Margin of safety—
To earn the target profit—
Units needed——
Revenue needed—at your price
Operating leverage at that volume—
Cost and revenue by volumemonthly
——

—

Markup and margin converter

$
% of price
Formulasmarkup = margin ÷ (1 − margin) · margin = markup ÷ (1 + markup)
Selling price—
—

—

Profit per unit—
Cost—
Markup on cost—
Gross margin—
Do not mix them up

A 40% margin needs a 66.7% markup. Pricing with a 40% markup only gives a 28.6% margin, so the gap can quietly eat your profit.

Margin and markup lookup

What each gross margin means as a markup and as a selling price on a given cost.

Gross marginMarkup neededPrice on $50 costPrice on $100 costProfit per $100 cost

Break-even price and cost sensitivity

How the break-even volume changes if your price or variable cost moves, from your inputs above.

ChangePriceBreak-even units (price change)Variable costBreak-even units (cost change)
Formulas

Cost-volume-profit basics

Break-even units

Q = fixed costs ÷ (price − variable cost)

Contribution margin

ratio = (price − variable cost) ÷ price

Target profit

units = (fixed costs + target profit) ÷ contribution per unit

Operating leverage is total contribution ÷ operating income. It shows how much profit changes for a 1% change in sales.

Good to know

Margin, markup and break-even

Margin is profit as a share of the selling price, while markup is profit as a share of cost. The same sale gives a higher markup than margin, which is why they must not be swapped.

Break-even assumes a steady price and cost per unit. Discounts, volume pricing and step costs will move it.

Worked examples

Illustrative businesses, each checked by hand. The first is the default setup.

Break-even volume

Fixed costs $12,500, variable cost $24.50, price $65.

contribution = 65 − 24.50 = 40.50
12,500 ÷ 40.50 = 308.64
309 units, revenue 309 × 65 = $20,085

Target profit

Same business, $5,000 profit wanted.

(12,500 + 5,000) ÷ 40.50 = 432.1
433 units, revenue = $28,145

Margin to markup

Cost $100 and a 40% gross margin.

price = 100 ÷ (1 − 0.40) = $166.67
profit = 66.67
markup = 66.67 ÷ 100 = 66.67%

How to find your break-even point

  • Add up your fixed costs for the period, such as rent, salaries and subscriptions.
  • Work out the variable cost of one unit, and its selling price.
  • Divide fixed costs by the contribution per unit (price minus variable cost).
  • Round up to whole units, because you cannot sell part of a unit.

If the price is at or below the variable cost, you never break even, however much you sell. Raise the price, cut variable costs, or reduce fixed costs.

By Suhaib Hassan · Reviewed 29 September 2026 · How CalculatePilot verifies formulas →

Sources

  • Garrison, Noreen and Brewer, Managerial Accounting, chapter on cost-volume-profit relationships.
  • Horngren, Datar and Rajan, Cost Accounting: A Managerial Emphasis.
  • U.S. Small Business Administration, Calculate your startup costs and break-even guidance.

Frequently asked questions

What is the break-even point?

It is the sales volume at which total revenue equals total costs, so profit is exactly zero. Above it you make a profit and below it you make a loss.

What is the difference between margin and markup?

Margin is profit divided by the selling price, and markup is profit divided by the cost. A product costing $100 sold at $150 has a 33.3% margin but a 50% markup.

What is contribution margin?

It is the selling price minus the variable cost of a unit. It is the amount each sale contributes toward covering fixed costs and then profit.

What is the margin of safety?

It is how far sales can fall before you hit break-even, shown here as a percentage of your target volume. A bigger cushion means lower risk.

How do I lower my break-even point?

Raise the price, reduce variable costs per unit, or cut fixed costs. The sensitivity table shows how much a 5% or 10% change in price or variable cost moves the number of units.

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