70 Essential Business Math Formulas Made Easy

Q: What is the difference between gross profit margin and net profit margin?

How do you calculate break-even point for a small business?Divide your total fixed costs by the contribution margin per unit which is your selling price minus variable cost per unit. The result tells you exactly how many units you need to sell before you start making a profit. You can also calculate break-even revenue by multiplying break-even units by price per unit.

Q: How do you calculate break-even point for a small business?

What is the difference between ROI and ROE?ROI measures the return on a specific investment by dividing net profit by the investment cost. ROE measures profitability relative to shareholders equity as a whole. ROI is used to evaluate individual decisions while ROE reflects overall business performance for investors.

Q: What is the difference between ROI and ROE?

What is EBITDA and why do businesses use it?EBITDA stands for Earnings Before Interest Taxes Depreciation and Amortization. It shows cash profitability by removing non-cash charges and financing costs from the picture. It is widely used to compare operational performance across businesses regardless of how they are financed or what accounting methods they use.

Q: What is EBITDA and why do businesses use it?

What is the cash conversion cycle and why does it matter?The cash conversion cycle measures how long it takes to turn inventory and receivables into cash. It is calculated by adding inventory days and receivables days then subtracting payables days. A shorter cycle means faster cash flow. A long cycle means your money is tied up in inventory or unpaid invoices which can create cash flow problems even in a profitable business.

Use our free business math formulas cheat sheet below or our free business math calculator tools anything quickly. Numbers drive decisions in business. From pricing and budgeting to forecasting and evaluating performance, these 70 formulas give you clarity and actionable insights.

1. Revenue

Purpose: Measures total income from sales before costs.
Formula: Revenue = Price × Quantity Sold
Example: Selling 500 units at $25 each → 500 × 25 = $12,500

2. Cost of Goods Sold (COGS)

Purpose: Calculates the direct cost of producing goods sold.
Formula: COGS = Beginning Inventory + Purchases - Ending Inventory
Example: 10,000 + 5,000 - 3,000 = $12,000

3. Gross Profit

Purpose: Shows profit after covering the cost of goods.
Formula: Gross Profit = Revenue - COGS
Example: 12,500 - 12,000 = $500

4. Gross Profit Margin

Purpose: Indicates profitability as a percentage of revenue.
Formula: (Gross Profit ÷ Revenue) × 100
Example: (500 ÷ 12,500) × 100 = 4%

5. Net Profit

Purpose: Measures profit after all expenses, including operating costs and taxes.
Formula: Net Profit = Revenue - Total Expenses
Example: 12,500 - 10,000 = $2,500

6. Net Profit Margin

Purpose: Shows how much of revenue remains as profit.
Formula: (Net Profit ÷ Revenue) × 100
Example: (2,500 ÷ 12,500) × 100 = 20%

7. Contribution Margin

Purpose: Amount each product contributes to fixed costs and profit.
Formula: Contribution Margin = Revenue - Variable Costs
Example: 12,500 - 8,000 = $4,500

8. Contribution Margin Ratio

Purpose: Percentage of revenue that contributes to fixed costs.
Formula: (Contribution Margin ÷ Revenue) × 100
Example: (4,500 ÷ 12,500) × 100 = 36%

9. Break-Even Point (Units)

Purpose: Number of units needed to cover all costs.
Formula: Break-Even Units = Fixed Costs ÷ Contribution Margin per Unit
Example: 5,000 ÷ 10 = 500 units

10. Break-Even Revenue

Purpose: Revenue needed to cover costs.
Formula: Break-Even Revenue = Break-Even Units × Price per Unit
Example: 500 × 25 = $12,500

11. Return on Investment (ROI)

Purpose: Measures the efficiency of an investment.
Formula: (Net Profit ÷ Investment Cost) × 100
Example: 2,500 ÷ 10,000 × 100 = 25%

12. Payback Period

Purpose: Time required to recoup an investment.
Formula: Payback Period = Investment ÷ Annual Cash Inflow
Example: 10,000 ÷ 2,500 = 4 years

13. Customer Acquisition Cost (CAC)

Purpose: Cost to gain a new customer.
Formula: CAC = Total Sales & Marketing Costs ÷ Number of New Customers
Example: 5,000 ÷ 50 = $100 per customer

14. Customer Lifetime Value (CLV)

Purpose: Total revenue expected from a customer over their relationship.
Formula: CLV = Average Purchase Value × Number of Purchases × Customer Lifespan
Example: 50 × 10 × 3 = $1,500

15. Inventory Turnover

Purpose: Measures how quickly inventory sells.
Formula: Inventory Turnover = COGS ÷ Average Inventory
Example: 12,000 ÷ ((10,000 + 3,000)/2) = 1.85 times/year

16. Accounts Receivable Turnover

Purpose: How fast you collect payments from customers.
Formula: AR Turnover = Net Credit Sales ÷ Average Accounts Receivable
Example: 50,000 ÷ 10,000 = 5 times/year

17. Debt-to-Equity Ratio

Purpose: Financial leverage of the business.
Formula: Debt-to-Equity = Total Liabilities ÷ Shareholder Equity
Example: 50,000 ÷ 100,000 = 0.5 → 50%

18. Operating Margin

Purpose: Percentage of revenue left after operating expenses.
Formula: (Operating Income ÷ Revenue) × 100
Example: 5,000 ÷ 12,500 × 100 = 40%

19. Markup

Purpose: Percentage added to cost to set a selling price.
Formula: Markup (%) = ((Selling Price - Cost) ÷ Cost) × 100
Example: (25-20)/20 × 100 = 25%

20. Percent Change / Growth Rate

Purpose: Measures growth or decline over time.
Formula: Percent Change = ((New Value - Old Value) ÷ Old Value) × 100
Example: (12,500-10,000)/10,000 × 100 = 25% growth

21. Net Working Capital (NWC)

Purpose: Measures short-term liquidity of a business.
Formula: NWC = Current Assets - Current Liabilities
Example: 50,000 - 30,000 = $20,000

22. Quick Ratio

Purpose: Indicates ability to pay short-term obligations without inventory.
Formula: (Current Assets - Inventory) ÷ Current Liabilities
Example: (50,000 - 10,000) ÷ 30,000 = 1.33

23. Current Ratio

Purpose: Measures short-term financial health.
Formula: Current Assets ÷ Current Liabilities
Example: 50,000 ÷ 30,000 = 1.67

24. Operating Cash Flow (OCF)

Purpose: Cash generated by business operations.
Formula: OCF = Net Income + Non-Cash Expenses + Changes in Working Capital
Example: 20,000 + 5,000 - 3,000 = $22,000

25. Free Cash Flow (FCF)

Purpose: Cash available after capital expenditures.
Formula: FCF = Operating Cash Flow - Capital Expenditures
Example: 22,000 - 7,000 = $15,000

26. Earnings Before Interest & Taxes (EBIT)

Purpose: Operating profit before financing costs and taxes.
Formula: EBIT = Revenue - Operating Expenses
Example: 12,500 - 5,000 = $7,500

27. Earnings Before Interest, Taxes, Depreciation & Amortization (EBITDA)

Purpose: Shows cash profitability excluding non-cash charges.
Formula: EBITDA = EBIT + Depreciation + Amortization
Example: 7,500 + 1,000 + 500 = $9,000

28. Debt Ratio

Purpose: Measures proportion of assets financed by debt.
Formula: Debt Ratio = Total Liabilities ÷ Total Assets
Example: 50,000 ÷ 150,000 = 0.33 → 33%

29. Equity Ratio

Purpose: Measures proportion of assets financed by equity.
Formula: Equity Ratio = Total Equity ÷ Total Assets
Example: 100,000 ÷ 150,000 = 0.67 → 67%

30. Inventory Days

Purpose: Average number of days inventory is held before sale.
Formula: Inventory Days = 365 ÷ Inventory Turnover
Example: 365 ÷ 1.85 ≈ 197 days

31. Receivables Days

Purpose: Average days to collect payment.
Formula: Receivables Days = 365 ÷ AR Turnover
Example: 365 ÷ 5 ≈ 73 days

32. Payables Days

Purpose: Average days to pay suppliers.
Formula: Payables Days = 365 ÷ Accounts Payable Turnover
Example: 365 ÷ 6 ≈ 61 days

33. Cash Conversion Cycle (CCC)

Purpose: Time to convert inventory & receivables into cash.
Formula: CCC = Inventory Days + Receivables Days - Payables Days
Example: 197 + 73 - 61 = 209 days

34. Contribution per Unit

Purpose: Profit from selling one unit after variable costs.
Formula: Contribution per Unit = Selling Price - Variable Cost per Unit
Example: 25 - 15 = $10/unit

35. Weighted Average Cost of Capital (WACC)

Purpose: Average cost of financing a business (debt + equity).
Formula: WACC = (E/V × Re) + (D/V × Rd × (1-T))
Example: Simplified: 0.6 × 10% + 0.4 × 5% × (1-0.3) ≈ 7.1%

36. Earnings Per Share (EPS)

Purpose: Profit allocated per outstanding share.
Formula: EPS = Net Income ÷ Shares Outstanding
Example: 2,500 ÷ 1,000 = $2.50/share

37. Price-to-Earnings Ratio (P/E)

Purpose: Measures stock price relative to earnings.
Formula: P/E = Market Price per Share ÷ EPS
Example: $50 ÷ 2.50 = 20

38. Dividend Yield

Purpose: Measures return to shareholders via dividends.
Formula: Dividend Yield = Annual Dividend ÷ Share Price × 100
Example: 2 ÷ 50 × 100 = 4%

39. Break-Even Point (Revenue)

Purpose: Revenue needed to cover all costs.
Formula: Break-Even Revenue = Fixed Costs ÷ Contribution Margin Ratio
Example: 5,000 ÷ 0.36 ≈ $13,889

40. Margin of Safety

Purpose: How much sales can drop before a loss occurs.
Formula: Margin of Safety = (Current Sales - Break-Even Sales) ÷ Current Sales × 100
Example: (15,000 - 13,889)/15,000 × 100 ≈ 7.41%

41. Net Present Value (NPV)

Purpose: Determines the present value of future cash flows from an investment.
Formula: NPV = Σ (Cash Flow ÷ (1 + Discount Rate)^t) - Initial Investment
Example: Cash flows: 5,000 per year for 3 years, discount rate 10%, initial investment 12,000 → NPV ≈ $1,136

42. Internal Rate of Return (IRR)

Purpose: Discount rate at which NPV of an investment equals zero.
Formula: Use financial calculator or Excel IRR function
Example: Cash flows: -12,000, 5,000, 5,000, 5,000 → IRR ≈ 13.5%

43. Profitability Index (PI)

Purpose: Measures value created per dollar invested.
Formula: PI = Present Value of Future Cash Flows ÷ Initial Investment
Example: PV = 13,136, Investment = 12,000 → PI = 13,136 ÷ 12,000 ≈ 1.09

44. Annual Percentage Rate (APR)

Purpose: Cost of borrowing expressed annually.
Formula: APR = (Interest ÷ Principal ÷ Number of Periods) × 100
Example: $500 interest on $10,000 for 1 year → APR = (500 ÷ 10,000) × 100 = 5%

45. Compound Interest

Purpose: Calculates interest on principal plus accumulated interest.
Formula: A = P × (1 + r/n)^(n×t)
Example: 10,000 × (1 + 0.05/1)^(1×3) ≈ $11,576

46. Simple Interest

Purpose: Calculates interest only on principal.
Formula: Interest = Principal × Rate × Time
Example: 10,000 × 0.05 × 3 = $1,500

47. Break-Even Volume

Purpose: Units needed to cover fixed costs at a given price and variable cost.
Formula: Break-Even Volume = Fixed Costs ÷ (Price - Variable Cost)
Example: 5,000 ÷ (25 - 15) = 500 units

48. Operating Leverage

Purpose: Measures sensitivity of operating income to sales changes.
Formula: Degree of Operating Leverage = Contribution Margin ÷ Operating Income
Example: 4,500 ÷ 7,500 = 0.6

49. Economic Order Quantity (EOQ)

Purpose: Optimal order quantity to minimize inventory costs.
Formula: EOQ = √(2 × Demand × Ordering Cost ÷ Holding Cost)
Example: √(2 × 1,000 × 50 ÷ 2) ≈ 224 units

50. Safety Stock

Purpose: Extra inventory to prevent stockouts.
Formula: Safety Stock = (Max Daily Usage - Average Daily Usage) × Lead Time
Example: (50 - 40) × 5 = 50 units

51. Productivity

Purpose: Measures efficiency of resources.
Formula: Productivity = Output ÷ Input
Example: 1,000 units ÷ 100 labor hours = 10 units/hour

52. Labor Cost per Unit

Purpose: Calculates labor expense per product.
Formula: Labor Cost per Unit = Total Labor Cost ÷ Units Produced
Example: 2,000 ÷ 500 = $4/unit

53. Variable Cost per Unit

Purpose: Cost that changes with production volume.
Formula: Variable Cost per Unit = Total Variable Costs ÷ Units Produced
Example: 4,000 ÷ 500 = $8/unit

54. Fixed Cost per Unit

Purpose: Spreads fixed costs over units produced.
Formula: Fixed Cost per Unit = Total Fixed Costs ÷ Units Produced
Example: 1,000 ÷ 500 = $2/unit

55. Contribution Margin per Unit

Purpose: Profit per unit after covering variable costs.
Formula: Selling Price - Variable Cost
Example: 25 - 8 = $17/unit

56. Sales Mix

Purpose: Percentage of each product sold relative to total sales.
Formula: Sales Mix (%) = Product Sales ÷ Total Sales × 100
Example: 5,000 ÷ 20,000 × 100 = 25%

57. Weighted Average Contribution Margin

Purpose: Blended contribution margin for multiple products.
Formula: Σ (Product Contribution × Sales Mix)
Example: (17 × 0.25) + (10 × 0.75) = 12.75/unit

58. Absorption Costing

Purpose: Assigns all manufacturing costs to products.
Formula: Total Product Cost = Direct Materials + Direct Labor + Manufacturing Overhead
Example: 3,000 + 2,000 + 1,000 = $6,000

59. Variable Costing

Purpose: Only variable costs assigned to products.
Formula: Variable Product Cost = Direct Materials + Direct Labor + Variable Overhead
Example: 3,000 + 2,000 + 500 = $5,500

60. Operating Expense Ratio

Purpose: Percentage of revenue consumed by operating expenses.
Formula: (Operating Expenses ÷ Revenue) × 100
Example: 5,000 ÷ 12,500 × 100 = 40%

61. Return on Assets (ROA)

Purpose: Profitability relative to total assets.
Formula: (Net Income ÷ Total Assets) × 100
Example: 2,500 ÷ 150,000 × 100 = 1.67%

62. Return on Equity (ROE)

Purpose: Profitability relative to shareholders’ equity.
Formula: (Net Income ÷ Shareholders’ Equity) × 100
Example: 2,500 ÷ 100,000 × 100 = 2.5%

63. Financial Leverage

Purpose: Shows how debt magnifies returns.
Formula: Financial Leverage = Total Assets ÷ Equity
Example: 150,000 ÷ 100,000 = 1.5

64. Operating Cash Flow Ratio

Purpose: Ability to cover liabilities with operating cash flow.
Formula: OCF ÷ Current Liabilities
Example: 22,000 ÷ 30,000 ≈ 0.73

65. Capital Turnover

Purpose: Efficiency in using capital to generate sales.
Formula: Revenue ÷ Capital Employed
Example: 12,500 ÷ 100,000 = 0.125

66. Earnings Before Taxes (EBT)

Purpose: Profit before tax is deducted.
Formula: EBT = Net Income + Taxes
Example: 2,500 + 500 = $3,000

67. Effective Tax Rate

Purpose: Average tax rate paid.
Formula: (Taxes ÷ EBT) × 100
Example: 500 ÷ 3,000 × 100 = 16.67%

68. Operating Cycle

Purpose: Time from inventory purchase to cash collection.
Formula: Operating Cycle = Inventory Days + Receivables Days
Example: 197 + 73 = 270 days

69. Profit per Customer

Purpose: Measures profitability of individual customers.
Formula: Profit per Customer = (Revenue - Costs) ÷ Number of Customers
Example: (12,500 - 10,000) ÷ 50 = $50/customer

70. Contribution Margin Ratio for Multiple Products

Purpose: Weighted ratio for a product mix.
Formula: Σ (Product Contribution Margin × Sales Mix)
Example: (17 × 0.25) + (10 × 0.75) = 12.75%

Many of these can be calculated for you in my new calculators.

Frequently Asked Questions

What are the most important business math formulas every small business owner should know? The most essential formulas for day-to-day decisions are revenue, gross profit margin, net profit margin, break-even point, customer acquisition cost, customer lifetime value, and return on investment. These seven cover pricing, profitability, growth, and customer economics in one foundation.

What is the difference between gross profit margin and net profit margin? Gross profit margin shows what is left after subtracting the direct cost of producing your product or service. Net profit margin shows what is left after all expenses including operating costs and taxes. A business can have a healthy gross margin and still lose money if operating expenses are too high.

How do you calculate break-even point for a small business? Divide your total fixed costs by the contribution margin per unit which is your selling price minus variable cost per unit. The result tells you exactly how many units you need to sell before you start making a profit. You can also calculate break-even revenue by multiplying break-even units by price per unit.

What is the difference between ROI and ROE? ROI measures the return on a specific investment by dividing net profit by the investment cost. ROE measures profitability relative to shareholders equity as a whole. ROI is used to evaluate individual decisions while ROE reflects overall business performance for investors.

What is EBITDA and why do businesses use it? EBITDA stands for Earnings Before Interest Taxes Depreciation and Amortization. It shows cash profitability by removing non-cash charges and financing costs from the picture. It is widely used to compare operational performance across businesses regardless of how they are financed or what accounting methods they use.

What is the cash conversion cycle and why does it matter? The cash conversion cycle measures how long it takes to turn inventory and receivables into cash. It is calculated by adding inventory days and receivables days then subtracting payables days. A shorter cycle means faster cash flow. A long cycle means your money is tied up in inventory or unpaid invoices which can create cash flow problems even in a profitable business.

What is customer lifetime value and how does it affect pricing decisions? Customer lifetime value is the total revenue expected from a customer over the entire relationship calculated by multiplying average purchase value by number of purchases by customer lifespan. It directly affects how much you can afford to spend acquiring a new customer. A healthy business targets a lifetime value to customer acquisition cost ratio of at least three to one.