Break-Even Formula: Units, Revenue and Contribution Margin Explained
The break-even formulas are straightforward once the concepts of fixed costs, variable costs and contribution margin are clear. This page explains each formula step by step and shows how they connect to the live calculator.
You can apply the formulas manually or use the free Break-Even Calculator to compute them instantly.
Core Formulas
Contribution Margin per Unit = Selling Price − Variable Cost per Unit
Contribution Margin Ratio = Contribution Margin per Unit ÷ Selling Price
Break-Even Units = Fixed Costs ÷ Contribution Margin per Unit
Break-Even Revenue = Fixed Costs ÷ Contribution Margin Ratio
Units for Target Profit = (Fixed Costs + Target Profit) ÷ Contribution Margin per Unit
Step-by-Step Example
Fixed costs = $4,200
Selling price = $49
Variable cost = $28.50
1. Contribution margin = 49 − 28.50 = $20.50
2. Contribution margin ratio = 20.50 ÷ 49 ≈ 0.418 (41.8 %)
3. Break-even units = 4,200 ÷ 20.50 ≈ 205
4. Break-even revenue = 4,200 ÷ 0.418 ≈ $10,048
These results match what the live calculator returns. You can explore the unit view on the break-even units calculator page and the revenue view on the break-even revenue calculator page.
Why the Formulas Matter
Understanding the formulas lets you diagnose problems quickly. If break-even units are too high, you can see whether the issue is high fixed costs, low contribution margin (price too low or variable costs too high), or both.
Contribution margin is explained in depth on the contribution margin calculator page. The overall break-even point concept is covered on the break-even point calculator page.
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Frequently Asked Questions
What is the break-even formula?
Break-Even Units = Fixed Costs ÷ (Selling Price − Variable Cost per Unit). Break-Even Revenue = Fixed Costs ÷ Contribution Margin Ratio.
What is the contribution margin formula?
Contribution Margin per Unit = Selling Price − Variable Cost per Unit. Contribution Margin Ratio = Contribution Margin per Unit ÷ Selling Price.
How do you include target profit in the formula?
Units for Target Profit = (Fixed Costs + Target Profit) ÷ Contribution Margin per Unit.
Where can I calculate these formulas automatically?
Use the free Break-Even Calculator. It applies the formulas instantly from your cost and price inputs.
Do the formulas work for service businesses?
Yes. Treat each service delivery as a “unit” and include the variable costs associated with delivering that service.
What if contribution margin is zero or negative?
If contribution margin is zero or negative, the business cannot break even at the current price and cost structure. Price or costs must change.
Final Call to Action
Master the formulas, then let the calculator do the arithmetic. Accurate inputs produce reliable planning numbers.
Apply the break-even formulas instantly → Open the free Break-Even Calculator
Disclaimer: Formulas produce estimates based on the inputs provided. This guide is educational only.