Free tool
Ratio calculator
Overview
Fill in any three of A, B, C and D and leave one blank: the calculator finds it. Enter only A and B to simplify a ratio. Fill in all four to check whether two ratios are equal.
Printable pack · $9
Ratio and Proportion Worksheet Pack
About fifty original problems on printable pages, from writing a ratio to word problems, with every answer worked out in a separate key.
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How it works
How it works
For A : B = C : D, cross-multiply: A x D = B x C. So D = B x C / A, C = A x D / B, B = A x D / C and A = B x C / D. Whole-number ratios are reduced by their greatest common divisor.
Recipe: 3 cups of flour for every 5 cups of milk. To use 12 cups of flour you need 5 x 12 / 3 = 20 cups of milk, and 12:20 still reduces to 3:5. Map scale: 1 inch = 4 miles, so 6.5 inches on the map is 6.5 x 4 = 26 miles. Mixing: paint thinned 4:1 with 2 quarts of paint takes 2 / 4 = 0.5 quart of thinner. Simplifying: 18:24, divided by their greatest common divisor 6, is 3:4, which is also 1:1.33 and a 42.9% / 57.1% split. A ratio stays the same when both sides are multiplied or divided by the same number.
FAQ
About this calculator
What is a ratio?
A comparison of two quantities, such as 3 to 5 or 3:5.
Where are ratios used?
Recipes, mixing, maps, scale drawings and business finance, among other things. Margins, the current ratio and debt-to-equity are all ratios of two numbers from your books.
Can the numbers be decimals?
Yes, though simplification only applies to whole numbers.
How do I simplify a ratio?
Enter the two numbers as A and B and leave C and D blank. The calculator divides both by their greatest common divisor, so 18:24 becomes 3:4, and also shows the ratio as 1 : n and as a percent split.
How do I solve for any missing number?
Leave the box you want blank and fill in the other three. If the blank is A or C, the calculator cross-multiplies the same way: A x D = B x C.
How do I turn a ratio into percentages?
Add the two parts and divide each by the total. For 3:5, the total is 8, so the split is 3/8 = 37.5% and 5/8 = 62.5%. The calculator shows this split for you.
How do I scale a ratio up or down?
Multiply or divide both sides by the same number. 3:5 doubled is 6:10, and tripled is 9:15. To hit a target, solve A:B = C:D with the target as C or D.
Is a ratio the same as a fraction?
Closely related. The ratio 3:5 compares two parts; the fraction 3/5 compares one part to the other. As a share of the whole, 3:5 means 3/8 and 5/8.
Is anything saved?
No. The math runs in your browser and nothing you enter is sent to us.
Related: current ratio calculator, net profit margin calculator, debt to equity ratio calculator, ratio to percent calculator, aspect ratio calculator, recipe scaler, fraction calculator, scale factor calculator, golden ratio calculator. See all free tools. More free tools: Flooring and tile calculator, Length converter, Golden ratio calculator, or see all free tools.
General information, not tax or legal advice. How we write and check our tools.
Ratio examples and common mistakes
Simplify a ratio
Divide both numbers by their greatest common divisor. For 18:24 the divisor is 6, so the ratio is 3:4. A 1920 by 1080 screen has a divisor of 120, which gives the familiar 16:9.
Solve a proportion
For 3:5 = 12:?, multiply the two numbers on the diagonal and divide by the third: 5 x 12 / 3 = 20. So 12 cups of flour go with 20 cups of milk, and 12:20 is still 3:5.
Split an amount by a ratio
To share $1,000 in the ratio 2:3:5, add the parts (2 + 3 + 5 = 10), divide the amount by the total (1,000 / 10 = 100 per part) and multiply: $200, $300 and $500.
Ratio, fraction or percent?
A ratio of 3:5 compares the two parts. As shares of the whole they are 3/8 = 37.5% and 5/8 = 62.5%. As one part against the other, 3 is 60% of 5. Say which one you mean before you share a number.
Common mistakes
- Mixed units. 30 minutes to 2 hours is 30:120, which is 1:4, not 30:2. Convert to the same unit first.
- Swapped order. 3:5 and 5:3 are different. Keep the same order on both sides of a proportion.
- Decimals. To simplify 0.5:2, multiply both sides by 2 to get 1:4, then reduce if needed.
Ratios for a small business
Lenders, buyers and your own bookkeeper read a business through a handful of ratios. Each one is two numbers from your books divided by each other, so the same method applies. These examples use invented figures.
- Net profit margin. Revenue of $80,000 and total costs of $62,000 leave $18,000 of profit. $18,000 / $80,000 = 0.225, or 22.5%.
- Markup versus margin. An item that costs $60 and sells for $100 has a markup of 40 / 60 = 66.7% but a margin of 40 / 100 = 40%. They are different numbers for the same sale, so say which one you mean when you set prices.
- Current ratio. $30,000 of current assets against $20,000 of current liabilities is 30,000 / 20,000 = 1.5. You hold $1.50 for every $1 due within a year.
- Quick ratio. Leave out inventory. $8,000 cash plus $12,000 receivables against $20,000 of current liabilities is 1.0.
- Debt-to-equity. $40,000 of liabilities and $50,000 of owner equity is 40,000 / 50,000 = 0.8.
Pick the ratio you need and enter your own numbers: net profit margin, profit margin and markup, current, quick and cash ratio, debt-to-equity, debt service coverage. All of them run in your browser and send nothing.
Business ratio snapshot
Enter a few numbers from your income statement and balance sheet. Everything is worked out in your browser; nothing is sent or saved. Leave out anything you do not have.
These are general measures, not advice. What counts as healthy depends on your industry, your lender and your history. Compare with your own past figures first.
Get these numbers from real books
The snapshot is only as accurate as what you type. If you would like the figures to come from books that are up to date and reconciled, these are the next steps:
- Free bookkeeping health check — a few quick questions and a plain-English list of what to fix first.
- Free 5-part email course — how to read the income statement and balance sheet, with worked examples.
- Month-End Close Workbook — an Excel workbook with a dated checklist, a bank reconciliation that flags what does not tie, and a flux review, so your month-end numbers are ready to use.
- Financial Ratio Analysis Workbook — enter three years of statements and see about 20 ratios side by side, with a trend and a flag against your own targets.
- Loan-Readiness Workbook — the ratios a lender commonly looks at, with and without the new loan, plus a document checklist.
- Business Valuation & Forecaster — an Excel model with a five-year income statement, balance sheet and cash flow built from your assumptions, plus a discounted cash flow value.
- Bookkeeping from MCC Solutions — we keep the books and send you the numbers each month.
Buying more than one? The Business Finance Ratios Bundle includes the ratio, loan-readiness and valuation workbooks together.
Using ratios for something other than a business?
Cooking and baking are ratio work too: the Recipe Costing and Menu Pricing Workbook turns a recipe into a cost per portion and a price for your target food cost. Teachers, tutors and parents can use the printable Ratio and Proportion Worksheet Pack, which comes with a worked answer key.
Where the numbers come from
A ratio is only as good as the books behind it. If your income, expenses and balance sheet are not up to date, the result will be off. MCC Solutions LLC in Cranford, NJ does small business bookkeeping, so the figures you plug into these ratios match what is actually in your accounts.
Document pack
Ratio and Proportion Worksheet Pack
About fifty original problems on printable pages, from writing a ratio to word problems, with every answer worked out in a separate key.