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About

Payroll errors from miscounted working days cost businesses an average of 1.2% of total payroll annually. This calculator determines the exact count of working days (W), days off (D), and total calendar days (T) between any two dates. It accounts for standard 5/2 schedules, rotating shift patterns (2/2, 3/3), and custom weekday configurations. Public holidays are excluded from working day counts when specified.

The tool handles edge cases including leap years, month boundaries, and schedule phase alignment for shift workers. For employment contracts, vacation accrual, or project planning, incorrect day counts propagate into overtime miscalculations, compliance violations, and budget overruns. The formula isolates each calendar day, applies the work pattern mask, then subtracts holiday intersections to yield precise figures suitable for HR systems and financial planning.

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Formulas

The total calendar days T between start date d1 and end date d2 (inclusive):

T = d2 βˆ’ d1 + 1

Working days W are calculated by iterating each day i in the range and applying the work pattern function P(i) which returns 1 if the day is a scheduled work day and 0 otherwise. The holiday indicator function H(i) returns 1 if day i is a public holiday:

W = Tβˆ‘i=1 P(i) β‹… (1 βˆ’ H(i))

Days off D represent all non-working days including weekends and holidays:

D = T βˆ’ W

For rotating shift schedules (2/2, 3/3), the pattern function uses modular arithmetic where c is the cycle length and w is work days per cycle:

P(i) =
{
1 if ((i βˆ’ phase) mod c) < w0 otherwise

Where phase is the schedule offset from the reference start date, allowing alignment with actual shift rotations.

Reference Data

Work ScheduleWork Days/WeekDays Off/WeekAnnual Work DaysAnnual Days OffCommon Industries
Standard 5/252260105Office, Corporate, Government
Extended 6/16131253Retail, Service, Small Business
Shift 2/23.5 (avg)3.5 (avg)182183Security, Manufacturing
Shift 3/33.5 (avg)3.5 (avg)182183Healthcare, Emergency Services
Shift 1/31.75 (avg)5.25 (avg)91274Firefighters (24h shifts)
Part-time 3/434156209Part-time Employment
Continental (2-2-3)3.5 (avg)3.5 (avg)182183Police, Utilities
Panama (2-2-3)3.5 (avg)3.5 (avg)182183Mining, Oil & Gas
DuPont (4-week cycle)3.5 (avg)3.5 (avg)182183Chemical Plants
4/3 Compressed43208157Tech Companies, Remote Work
9/80 Bi-weekly4.5 (avg)2.5 (avg)234131Engineering, Aerospace
European Standard52220 - 230135 - 145EU Countries (more holidays)

Frequently Asked Questions

The phase parameter offsets the work/rest cycle from day zero. For a 2/2 schedule, phase 0 means day 1 is a work day, phase 1 means day 1 is the second work day, phase 2 means day 1 is the first rest day, and phase 3 means day 1 is the second rest day. Incorrect phase alignment causes systematic errors of up to 50% in shift worker day counts. Set the phase to match when your actual shift cycle began.
Yes, but only when a holiday falls on a scheduled work day. If a holiday lands on your regular day off (e.g., Sunday for 5/2 workers), it does not add an extra day off in the calculation. Some jurisdictions provide compensatory days for holidays falling on weekends. This tool counts the raw intersection of holidays and work days. Manual adjustment may be needed for substitute holiday policies.
The calculator correctly handles leap years (February 29 appears in divisible-by-4 years except century years not divisible by 400). For ranges spanning multiple years, ensure your holiday list includes all relevant years. A 10-year range without holidays will compute approximately 2,600 working days for a 5/2 schedule. The iteration method has O(n) complexity but remains performant for ranges under 100 years.
The calculator validates that the end date must be equal to or after the start date. If dates are reversed, an error notification appears and calculation is blocked. This prevents negative day counts which would be mathematically valid but semantically meaningless for scheduling purposes.
Yes. The algorithm evaluates each individual day rather than assuming complete weeks. A date range starting on Wednesday and ending the following Tuesday will correctly count 5 working days for a standard 5/2 schedule (Wed, Thu, Fri, Mon, Tue). For shift patterns, adjust the phase parameter to align with your actual rotation position on the start date.
Enter all applicable holidays in the holiday list using YYYY-MM-DD format. Regional holidays (state/province specific), company holidays, and floating holidays (like Easter Monday which varies yearly) must be added manually. The tool does not auto-populate holidays because they vary by jurisdiction, religion, and employer policy. For recurring annual planning, save your holiday list and update only the year-specific dates.