A/R Days Calculator
Calculate A/R days (accounts receivable days, also called DSO) from ending or average accounts receivable and net credit sales. Get the exact collection period and turnover rate instantly.
A/R Days = (Accounts Receivable ÷ Net Credit Sales) × Days in PeriodAdjust Variables
Interactive Step-by-Step Calculation Proofs
View how variables resolve algebraically down to peer-reviewed standard outputs.
Why Use This Calculator
A/R days — also called days sales outstanding (DSO) or the average collection period — measures how many days, on average, it takes a business to collect payment after making a credit sale. It's calculated by dividing accounts receivable by net credit sales for a period, then multiplying by the number of days in that period: A/R Days = (Accounts Receivable ÷ Net Credit Sales) × Days in Period. A lower A/R days figure means faster collections and healthier cash flow; a rising trend can signal looser credit terms, slower-paying customers, or collections problems. This calculator supports two approaches: use ending accounts receivable for a quick snapshot, or average accounts receivable (the mean of beginning and ending AR) for a more accurate figure that smooths out swings within the period. Both modes also return the receivables turnover ratio (Days in Period ÷ A/R Days), which shows how many times receivables are collected per period. Credit and collections teams typically track A/R days as a standing KPI rather than a one-off calculation — a sudden jump is usually the trigger to tighten credit terms, chase overdue invoices, or reassess a customer's credit limit before a balance needs to be written off as bad debt. For a fuller picture of working-capital efficiency, pair this with the GMROI calculator to see how quickly inventory investment converts to profit alongside how quickly sales convert to cash.
Mathematical Formula Explanation
Calculated standard benchmarks are based on direct functional dependencies. The primary calculation logic follows this formula:
A/R Days = (Accounts Receivable ÷ Net Credit Sales) × Days in PeriodBy Ending Accounts Receivable and By Average Accounts Receivable apply the identical A/R-days formula, differing only in what goes in the numerator. Ending AR is a single point-in-time balance — faster to pull but sensitive to a big invoice landing right at period-end. Average AR — the mean of the beginning and ending balance — smooths that out and is the more standard approach for tracking trends over time.
Worked Examples (Step-by-Step)
These examples show A/R days calculated from an ending receivables balance and from an average of beginning and ending balances, on the same underlying sales figures.
Example 1: A/R Days From Ending Balance
“A company has $150,000 in accounts receivable and generated $1,825,000 in net credit sales over the past year. What is its A/R days?”
- ACCOUNTSRECEIVABLE: 150,000
- NETCREDITSALES: 1,825,000
- DAYSINPERIOD: 365
- ARDAYS: 30
- DAILYSALES: 5,000
- TURNOVER: 12.17
Example 2: A/R Days From Average Balance
“The same company started the year with $120,000 in accounts receivable and ended with $180,000, on the same $1,825,000 in net credit sales. What is its A/R days using the average balance?”
- BEGINNINGAR: 120,000
- ENDINGAR: 180,000
- NETCREDITSALESAVG: 1,825,000
- DAYSINPERIODAVG: 365
- AVERAGEAR: 150,000
- ARDAYSAVG: 30
- TURNOVERAVG: 12.17
Common Mistakes & Edge Cases
- Using ending A/R when the balance swung sharply during the periodA single large invoice issued right before period-end inflates the ending A/R balance without reflecting typical collections performance. When receivables moved significantly within the period, switch to the average-balance mode instead of the ending-balance mode.
- Mixing gross and net receivablesAccounts receivable is sometimes reported gross (before an allowance for doubtful accounts) and sometimes net (after it). Using a gross figure in the numerator while a comparison source used net — or vice versa — produces A/R days figures that aren't actually measuring the same thing.
- Comparing A/R days across companies with different stated credit termsA/R days of 45 is fast collection on Net 60 terms but slow on Net 15 terms. Compare A/R days against a company's own stated payment terms and its own historical trend, not against another company's raw number without knowing its terms.