Break-Even Point Calculator

What Is the Break-Even Point? The break-even point (BEP) is the level of output at which total revenue exactly equals total costs. Below this point, the business makes a loss. Above it, every additional unit sold generates profit. It is one of the most important concepts in business planning and financial analysis.

Contribution Margin Before calculating the break-even point, you need the contribution margin, the amount each unit sold contributes toward covering fixed costs after paying variable costs:

Contribution Margin (CM) = Selling Price per Unit - Variable Cost per Unit

The contribution margin ratio expresses this as a percentage of the selling price:

CM Ratio = CM / Selling Price

Break-Even Formula Break-Even Units = Fixed Costs / Contribution Margin

Break-Even Revenue = Fixed Costs / CM Ratio

The logic is straightforward: your fixed costs must be covered before any profit is made. Each unit sold contributes a fixed dollar amount (the CM) toward those costs. The number of units needed to cover all fixed costs is the break-even point.

Units round up, always. Fixed costs of $50,000 with a $15 contribution margin gives 3,333.3 units. Selling 3,333 leaves five dollars of fixed cost unpaid, so the break-even in whole units is 3,334 and the revenue that goes with it is $83,350 rather than the $83,333.33 the ratio formula returns. Both figures are printed below, because the exact one is what you use in further algebra and the whole one is what you sell.

Degree of operating leverage Once you enter an actual sales volume, the calculator also reports operating leverage:

DOL = (Units × Contribution Margin) / Operating Profit

It says how violently profit reacts to a change in volume. A DOL of 3 means a 10% rise in units lifts profit by roughly 30%, and a 10% fall cuts it by the same. High fixed costs push it up, which is the same structural fact the break-even point is measuring from a different angle. It approaches infinity at break-even itself, which is not a quirk of the formula: a business sitting exactly on break-even really does swing between profit and loss on the smallest change in volume.

Just want the sales target? If what you need is the volume that hits a particular profit figure, the break-even and profit target calculator takes a target profit directly and shows how the answer moves with price.

Fixed vs. Variable Costs Fixed costs remain constant regardless of output: rent, salaries, insurance, loan repayments. Variable costs change directly with output: raw materials, direct labor, packaging, sales commissions. Understanding this split is fundamental to cost analysis.

Margin of Safety Once you know the break-even point, you can calculate the margin of safety, which is how far current or projected sales can fall before you reach the loss zone:

Margin of Safety = Actual Sales - Break-Even Sales

A high margin of safety means the business can withstand a significant drop in revenue without becoming unprofitable. Enter your expected unit sales in the optional field and the calculator works this out for you, as a unit count, a dollar figure and a percentage cushion.

Limitations The basic break-even model assumes a constant selling price and constant variable cost per unit. In reality, volume discounts, economies of scale, and price changes make the analysis more complex. The model is best used for planning and sensitivity analysis rather than precise prediction.

Operating leverage, the amplifier. Two firms can hit the same break-even point with very different cost structures. A business with high fixed costs and low variable costs (think airlines, factories, software) has high operating leverage: above break-even, each additional sale produces outsized profit; below it, losses accumulate fast. A business with the opposite mix (low fixed, high variable, like a small service shop) is steadier in both directions. The contribution margin per unit is what drives this. A high CM means each sale moves the needle a lot.

Break-even vs. shutdown, the short-run distinction. Break-even is where price covers all costs, both fixed and variable. There is a different, lower threshold that matters in the short run: the shutdown point, where price just covers average variable cost. As long as price is at or above AVC, an operating firm can keep going and at least pay some of its fixed costs, even if it is not profitable overall. Below AVC, every sale loses money on the variable side alone, and the textbook answer is to halt production until conditions change.

On this page the variable cost per unit is the AVC, because the model assumes it stays constant at every output level. So the shutdown test here is simply whether your selling price clears the variable cost per unit, and the calculator says so directly. The AVC calculator works the same test from total variable cost and quantity, and the two pages agree by construction: enter 600 of variable cost over 500 units there, or $1.20 of variable cost per unit here, and both put the shutdown price at $1.20.

Worked example A workshop has $50,000 in fixed costs, sells at $25 a unit, and spends $10 a unit on materials and piece-rate labour.

Contribution margin = $25 − $10 = $15 per unit CM ratio = $15 / $25 = 60% Break-even units = $50,000 / $15 = 3,333.3 units, so 3,334 to actually clear it Break-even revenue = $50,000 / 0.60 = $83,333.33

Check that against the units: 3,333.3 × $25 = $83,333.33, the same figure. Round up to 3,334 whole units and revenue is $83,350, which is $16.67 more than break-even needs. That gap is not an error, it is the last partial unit you cannot sell.

At 4,500 units the margin of safety is 1,166.7 units, or 25.9% of sales, and profit is 1,166.7 × $15 = $17,500.