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70 Business Math Formulas: Free Searchable Cheat Sheet

70 essential business math formulas made easy
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Use the search box above to jump straight to any formula, or scroll the full list below -- each formula has its own Copy button so you can paste the definition and example straight into a doc or spreadsheet. Prefer to just plug in your numbers? Our free business math calculator tools do the math for you. Numbers drive decisions in business. From pricing and budgeting to forecasting and evaluating performance, these 70 formulas give you clarity and actionable insights.

Business Math Formulas by Category

Jump straight to the area you need, or use the search box above to filter all 70 by name.

1. Revenue

2. Cost of Goods Sold (COGS)

3. Gross Profit

4. Gross Profit Margin

5. Net Profit

6. Net Profit Margin

7. Contribution Margin

8. Contribution Margin Ratio

9. Break-Even Point (Units)

10. Break-Even Revenue

11. Return on Investment (ROI)

12. Payback Period

13. Customer Acquisition Cost (CAC)

14. Customer Lifetime Value (CLV)

15. Inventory Turnover

16. Accounts Receivable Turnover

17. Debt-to-Equity Ratio

18. Operating Margin

19. Markup

20. Percent Change / Growth Rate

21. Net Working Capital (NWC)

22. Quick Ratio

23. Current Ratio

24. Operating Cash Flow (OCF)

25. Free Cash Flow (FCF)

26. Earnings Before Interest & Taxes (EBIT)

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

28. Debt Ratio

29. Equity Ratio

30. Inventory Days

31. Receivables Days

32. Payables Days

33. Cash Conversion Cycle (CCC)

34. Contribution per Unit

35. Weighted Average Cost of Capital (WACC)

36. Earnings Per Share (EPS)

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

38. Dividend Yield

39. Break-Even Point (Revenue)

40. Margin of Safety

41. Net Present Value (NPV)

42. Internal Rate of Return (IRR)

43. Profitability Index (PI)

44. Annual Percentage Rate (APR)

45. Compound Interest

46. Simple Interest

47. Break-Even Volume

48. Operating Leverage

49. Economic Order Quantity (EOQ)

50. Safety Stock

51. Productivity

52. Labor Cost per Unit

53. Variable Cost per Unit

54. Fixed Cost per Unit

55. Contribution Margin per Unit

56. Sales Mix

57. Weighted Average Contribution Margin

58. Absorption Costing

59. Variable Costing

60. Operating Expense Ratio

61. Return on Assets (ROA)

62. Return on Equity (ROE)

63. Financial Leverage

64. Operating Cash Flow Ratio

65. Capital Turnover

66. Earnings Before Taxes (EBT)

67. Effective Tax Rate

68. Operating Cycle

69. Profit per Customer

70. Contribution Margin Ratio for Multiple Products

All 70 Business Math Formulas at a Glance

The full cheat sheet in one table. Every formula above, condensed so you can scan, copy, or print the lot.

#Formula NameCalculation
Revenue, Profit and Margin
1RevenueRevenue = Price × Quantity Sold
2Cost of Goods Sold (COGS)COGS = Beginning Inventory + Purchases - Ending Inventory
3Gross ProfitGross Profit = Revenue - COGS
4Gross Profit Margin(Gross Profit ÷ Revenue) × 100
5Net ProfitNet Profit = Revenue - Total Expenses
6Net Profit Margin(Net Profit ÷ Revenue) × 100
7Contribution MarginContribution Margin = Revenue - Variable Costs
8Contribution Margin Ratio(Contribution Margin ÷ Revenue) × 100
18Operating Margin(Operating Income ÷ Revenue) × 100
60Operating Expense Ratio(Operating Expenses ÷ Revenue) × 100
Break-Even and Cost Behavior
9Break-Even Point (Units)Break-Even Units = Fixed Costs ÷ Contribution Margin per Unit
10Break-Even RevenueBreak-Even Revenue = Break-Even Units × Price per Unit
39Break-Even Point (Revenue)Break-Even Revenue = Fixed Costs ÷ Contribution Margin Ratio
47Break-Even VolumeBreak-Even Volume = Fixed Costs ÷ (Price - Variable Cost)
40Margin of SafetyMargin of Safety = (Current Sales - Break-Even Sales) ÷ Current Sales × 100
34Contribution per UnitContribution per Unit = Selling Price - Variable Cost per Unit
55Contribution Margin per UnitSelling Price - Variable Cost
53Variable Cost per UnitVariable Cost per Unit = Total Variable Costs ÷ Units Produced
54Fixed Cost per UnitFixed Cost per Unit = Total Fixed Costs ÷ Units Produced
48Operating LeverageDegree of Operating Leverage = Contribution Margin ÷ Operating Income
Pricing, Product and Costing
19MarkupMarkup (%) = ((Selling Price - Cost) ÷ Cost) × 100
56Sales MixSales Mix (%) = Product Sales ÷ Total Sales × 100
57Weighted Average Contribution Margin∑ (Product Contribution × Sales Mix)
70Contribution Margin Ratio for Multiple Products∑ (Product Contribution Margin × Sales Mix)
58Absorption CostingTotal Product Cost = Direct Materials + Direct Labor + Manufacturing Overhead
59Variable CostingVariable Product Cost = Direct Materials + Direct Labor + Variable Overhead
Return and Investment
11Return on Investment (ROI)(Net Profit ÷ Investment Cost) × 100
12Payback PeriodPayback Period = Investment ÷ Annual Cash Inflow
41Net Present Value (NPV)NPV = ∑ (Cash Flow ÷ (1 + Discount Rate)^t) - Initial Investment
42Internal Rate of Return (IRR)Use financial calculator or Excel IRR function
43Profitability Index (PI)PI = Present Value of Future Cash Flows ÷ Initial Investment
61Return on Assets (ROA)(Net Income ÷ Total Assets) × 100
62Return on Equity (ROE)(Net Income ÷ Shareholders' Equity) × 100
65Capital TurnoverRevenue ÷ Capital Employed
Cash Flow and Liquidity
21Net Working Capital (NWC)NWC = Current Assets - Current Liabilities
22Quick Ratio(Current Assets - Inventory) ÷ Current Liabilities
23Current RatioCurrent Assets ÷ Current Liabilities
24Operating Cash Flow (OCF)OCF = Net Income + Non-Cash Expenses + Changes in Working Capital
25Free Cash Flow (FCF)FCF = Operating Cash Flow - Capital Expenditures
64Operating Cash Flow RatioOCF ÷ Current Liabilities
33Cash Conversion Cycle (CCC)CCC = Inventory Days + Receivables Days - Payables Days
68Operating CycleOperating Cycle = Inventory Days + Receivables Days
Working Capital Days
30Inventory DaysInventory Days = 365 ÷ Inventory Turnover
31Receivables DaysReceivables Days = 365 ÷ AR Turnover
32Payables DaysPayables Days = 365 ÷ Accounts Payable Turnover
16Accounts Receivable TurnoverAR Turnover = Net Credit Sales ÷ Average Accounts Receivable
Debt and Capital Structure
17Debt-to-Equity RatioDebt-to-Equity = Total Liabilities ÷ Shareholder Equity
28Debt RatioDebt Ratio = Total Liabilities ÷ Total Assets
29Equity RatioEquity Ratio = Total Equity ÷ Total Assets
35Weighted Average Cost of Capital (WACC)WACC = (E/V × Re) + (D/V × Rd × (1-T))
63Financial LeverageFinancial Leverage = Total Assets ÷ Equity
Earnings, Shares and Tax
26Earnings Before Interest & Taxes (EBIT)EBIT = Revenue - Operating Expenses
27Earnings Before Interest, Taxes, Depreciation & Amortization (EBITDA)EBITDA = EBIT + Depreciation + Amortization
36Earnings Per Share (EPS)EPS = Net Income ÷ Shares Outstanding
37Price-to-Earnings Ratio (P/E)P/E = Market Price per Share ÷ EPS
38Dividend YieldDividend Yield = Annual Dividend ÷ Share Price × 100
66Earnings Before Taxes (EBT)EBT = Net Income + Taxes
67Effective Tax Rate(Taxes ÷ EBT) × 100
Interest and Time Value
44Annual Percentage Rate (APR)APR = (Interest ÷ Principal ÷ Number of Periods) × 100
45Compound InterestA = P × (1 + r/n)^(n×t)
46Simple InterestInterest = Principal × Rate × Time
Customer and Sales
13Customer Acquisition Cost (CAC)CAC = Total Sales & Marketing Costs ÷ Number of New Customers
14Customer Lifetime Value (CLV)CLV = Average Purchase Value × Number of Purchases × Customer Lifespan
69Profit per CustomerProfit per Customer = (Revenue - Costs) ÷ Number of Customers
Inventory and Operations
15Inventory TurnoverInventory Turnover = COGS ÷ Average Inventory
49Economic Order Quantity (EOQ)EOQ = √(2 × Demand × Ordering Cost ÷ Holding Cost)
50Safety StockSafety Stock = (Max Daily Usage - Average Daily Usage) × Lead Time
51ProductivityProductivity = Output ÷ Input
52Labor Cost per UnitLabor Cost per Unit = Total Labor Cost ÷ Units Produced
Growth
20Percent Change / Growth RatePercent Change = ((New Value - Old Value) ÷ Old Value) × 100

Frequently Asked Questions About Business Math Formulas

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.

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