Calculating hours is essential for tracking work time, managing projects, billing clients, or planning your day. This guide covers all aspects of time calculation—from simple duration finding to complex multi-day timesheet totals.
Calculating Hours Between Two Times
The most common time calculation is finding how many hours between a start and end time:
Hours = End Time - Start Time
Example: Standard Work Day
Start: 09:00
End: 17:30
Calculation: 17:30 - 09:00 = 8 hours 30 minutes
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When Times Include Minutes
For precise calculations with minutes, convert to total minutes first:
Total minutes = (Hours × 60) + Minutes
Step 2: Subtract start from end
Step 3: Convert back to hours and minutes
Example: 9:45 to 16:20
9:45 in minutes: (9 × 60) + 45 = 585 minutes
16:20 in minutes: (16 × 60) + 20 = 980 minutes
Difference: 980 - 585 = 395 minutes
Convert back: 395 ÷ 60 = 6 remainder 35
Answer: 6 hours 35 minutes
Adding Hours and Minutes
To add multiple time periods together:
1. Add all hours together
2. Add all minutes together
3. If minutes ≥ 60, convert to hours
Example: Weekly Timesheet Total
Monday: 7h 45m
Tuesday: 8h 15m
Wednesday: 8h 30m
Thursday: 7h 50m
Friday: 6h 40m
Hours: 7 + 8 + 8 + 7 + 6 = 36
Minutes: 45 + 15 + 30 + 50 + 40 = 180
Convert: 180 minutes = 3 hours
Total: 39 hours
Decimal Hours Conversion
Many payroll systems use decimal hours. Here's how to convert:
Minutes to Decimal
Decimal = Minutes ÷ 60
| Minutes | Decimal | Minutes | Decimal |
|---|---|---|---|
| 5 | 0.08 | 35 | 0.58 |
| 10 | 0.17 | 40 | 0.67 |
| 15 | 0.25 | 45 | 0.75 |
| 20 | 0.33 | 50 | 0.83 |
| 25 | 0.42 | 55 | 0.92 |
| 30 | 0.50 | 60 | 1.00 |
Decimal to Minutes
Minutes = Decimal × 60
Example: Convert 7.75 hours
Whole hours: 7
Decimal part: 0.75 × 60 = 45 minutes
Answer: 7 hours 45 minutes
Overnight Time Calculation
When calculating hours that span midnight:
22:00 to 06:00 = 22:00 to 30:00 = 8 hours
Method 2: Split at midnight
(24:00 - 22:00) + 06:00 = 2 + 6 = 8 hours
Example: Night Shift
Start: 23:30
End: 07:15
To midnight: 24:00 - 23:30 = 0h 30m
After midnight: 7h 15m
Total: 7 hours 45 minutes
Subtracting Breaks
To calculate actual working hours:
Work Hours = (End - Start) - Break Duration
Example: Full Day with Lunch
Shift: 08:30 to 17:00 = 8h 30m
Lunch break: 45 minutes
Actual work: 8h 30m - 45m = 7 hours 45 minutes
Common Work Hour Calculations
| Schedule | Daily Hours | Weekly (5 days) |
|---|---|---|
| 9:00 - 17:00 (1hr lunch) | 7 hours | 35 hours |
| 9:00 - 17:30 (1hr lunch) | 7.5 hours | 37.5 hours |
| 8:30 - 17:00 (30min lunch) | 8 hours | 40 hours |
| 8:00 - 18:00 (1hr lunch) | 9 hours | 45 hours |
| 9:00 - 17:00 (no break) | 8 hours | 40 hours |
Billing in Time Increments
Many professionals bill in set increments:
| Increment | Actual Time | Billed Time |
|---|---|---|
| 6 minutes (0.1 hour) | 4 minutes | 6 minutes |
| 6 minutes (0.1 hour) | 8 minutes | 12 minutes |
| 15 minutes (0.25 hour) | 10 minutes | 15 minutes |
| 15 minutes (0.25 hour) | 20 minutes | 30 minutes |
| 30 minutes (0.5 hour) | 35 minutes | 60 minutes |
Solicitors often bill in 6-minute increments (0.1 hours). Consultants typically use 15 or 30-minute blocks. Always round up to the next increment.
Time Zone Calculations
When working across time zones, add or subtract the difference:
| When it's 12:00 in London (GMT/BST) | Local Time |
|---|---|
| New York (EST) | 07:00 |
| Los Angeles (PST) | 04:00 |
| Dubai (GST) | 16:00 |
| Tokyo (JST) | 21:00 |
| Sydney (AEST) | 22:00 |
Annual Hours Calculation
For full-time equivalent (FTE) planning:
Annual Hours = Weekly Hours × 52
Working Days = 52 weeks × 5 days = 260 days
After holidays (28 days) = 232 working days
| Contract | Weekly | Annual (52 weeks) | After 28 days leave |
|---|---|---|---|
| Standard | 37.5 hrs | 1,950 hrs | 1,740 hrs |
| Full-time | 40 hrs | 2,080 hrs | 1,856 hrs |
| Part-time (4 days) | 30 hrs | 1,560 hrs | 1,392 hrs |
| Part-time (3 days) | 22.5 hrs | 1,170 hrs | 1,044 hrs |
Quick Reference: Time Conversions
| From | To | Formula |
|---|---|---|
| Hours | Minutes | × 60 |
| Minutes | Hours | ÷ 60 |
| Hours | Seconds | × 3,600 |
| Hours | Days | ÷ 24 |
| Days | Hours | × 24 |
| Weeks | Hours | × 168 |
Understanding Time Calculations in UK Workplaces
Accurate hours calculation is fundamental to UK employment law and payroll. The Working Time Regulations 1998 limit the average working week to 48 hours, calculated over a 17-week reference period. Workers can opt out of this limit voluntarily, but employers must keep records of hours worked for all employees. Understanding how to calculate hours correctly ensures compliance with these regulations and accurate pay calculations, particularly for workers paid by the hour or those claiming overtime.
Converting between decimal hours and hours-and-minutes is essential for payroll processing. Most UK payroll software works in decimal hours, where 7 hours and 30 minutes is entered as 7.50, and 7 hours and 45 minutes is entered as 7.75. Converting minutes to decimal requires dividing by 60: 15 minutes equals 0.25 hours, 30 minutes equals 0.50, and 45 minutes equals 0.75. Common mistakes include treating 7:30 as 7.30 decimal hours (which actually represents 7 hours and 18 minutes) rather than the correct 7.50 decimal hours.
For workers on zero-hours contracts, which are used by approximately 3 percent of UK employees, tracking cumulative hours is important for several reasons. Hours worked determine eligibility for various employment rights, including holiday entitlement (which accrues from the first hour worked), statutory sick pay (which requires average weekly earnings above the lower earnings limit), and auto-enrolment in a workplace pension (which triggers at specific earnings thresholds). Maintaining accurate records of hours worked protects workers' rights and ensures they receive all statutory entitlements.
Practical Applications of Hours Calculations
Hours calculations extend well beyond the workplace. Project planning, study timetabling, and personal productivity all benefit from accurate time mathematics. Students preparing for exams often use hours calculations to allocate revision time across subjects. A student with 10 GCSE subjects and 4 weeks before exams might calculate: 4 weeks x 7 days x 5 study hours = 140 total hours, divided by 10 subjects = 14 hours per subject, which can then be distributed based on each subject's difficulty and exam weighting.
Freelancers and self-employed workers in the UK need hours calculations for pricing and invoicing. The national minimum wage (£12.21 per hour for workers aged 21 and over in 2025/26) provides a useful benchmark, but most freelancers charge significantly more to account for unbillable time, administrative overhead, pension contributions, and holiday pay that they must fund themselves. A freelancer targeting £40,000 annual income who can bill 1,200 hours per year (approximately 25 billable hours per week after holidays and admin) needs to charge at least £33.33 per hour, which is the kind of calculation that effective hours tracking makes possible.
Time zone calculations are another practical application in an increasingly globalised world. UK businesses working with international clients must calculate meeting times across time zones, accounting for GMT versus BST (British Summer Time). The clocks change on the last Sunday of March (spring forward) and the last Sunday of October (fall back), shifting the UK's offset from UTC+0 to UTC+1 during summer months. This affects scheduled calls and deadlines with partners in different time zones and can cause confusion if not carefully tracked.
Frequently Asked Questions
How do I calculate hours worked with a lunch break?
Subtract the lunch break duration from the total time between your start and end times. If you start at 9:00 AM and finish at 5:30 PM with a 1-hour unpaid lunch break, the calculation is: total elapsed time is 8 hours 30 minutes, minus 1 hour for lunch, equals 7 hours 30 minutes (7.50 decimal hours). If you take a shorter 30-minute break, the result is 8 hours (8.00 decimal hours). Always check your employment contract to determine whether breaks are paid or unpaid, as this affects the total hours recorded for payroll.
What is the difference between clock hours and decimal hours?
Clock hours use the standard 60-minute hour format (e.g., 7 hours 45 minutes), while decimal hours convert the minutes into a fraction of an hour (e.g., 7.75 hours). Decimal hours are used in payroll and accounting because they are easier to multiply for pay calculations. To convert: divide the minutes by 60 and add to the hours. So 7 hours 20 minutes becomes 7 + (20/60) = 7.33 decimal hours. To convert back: take the decimal portion and multiply by 60. So 7.33 becomes 7 hours and 0.33 x 60 = 20 minutes.
How many working hours are there in a UK year?
A standard UK working year with a 37.5-hour week contains 1,950 hours before deducting annual leave. With the minimum statutory holiday entitlement of 28 days (5.6 weeks including bank holidays), the working hours reduce to approximately 1,740 hours. Workers with more generous holiday allowances of 30 to 35 days would work approximately 1,650 to 1,700 hours per year. These figures are important for salary-to-hourly-rate conversions, as dividing an annual salary by actual working hours gives the true effective hourly rate, which may be significantly higher than the nominal hourly rate calculated from a simple 52-week year.
UK Employment Law and Working Hours
The Working Time Regulations 1998 form the cornerstone of UK law governing working hours. These regulations, derived from the European Working Time Directive, set a maximum average working week of 48 hours calculated over a 17-week reference period. While individual workers can voluntarily opt out of this limit by signing a written agreement, employers must keep adequate records of hours worked and cannot force employees to exceed the cap. Young workers aged 16 and 17 have stricter limits of 8 hours per day and 40 hours per week, with no opt-out available.
Rest break entitlements are a critical component of UK employment law. Adult workers are entitled to an uninterrupted 20-minute rest break when the working day exceeds 6 hours. They must also receive at least 11 consecutive hours of rest in every 24-hour period, plus one uninterrupted 24-hour rest period each week (or two 24-hour periods in a fortnight). Night workers face additional protections: they must not work more than an average of 8 hours in any 24-hour period, and employers must offer free health assessments to regular night-shift staff.
Holiday entitlement in the UK is calculated in hours for part-time workers. The statutory minimum is 5.6 weeks of paid annual leave, which for a full-time worker on a 5-day week equals 28 days including bank holidays. Part-time workers receive a pro-rata entitlement. For example, someone working 20 hours per week is entitled to 20 multiplied by 5.6, equalling 112 hours of paid holiday per year. This calculation is particularly important for workers on irregular hours or zero-hours contracts, where holiday accrual must be tracked carefully using an hours-based method rather than a days-based approach.
The introduction of the Employment Rights Bill in 2024 proposed significant changes to UK working time rules, including reforms to zero-hours contracts and a potential right to switch off outside working hours. Employers who use time-tracking systems should ensure their software accurately calculates cumulative hours, rest periods, and holiday accrual to remain compliant with current and forthcoming legislation. HMRC can investigate employers suspected of failing to pay the National Minimum Wage, and incorrect hours recording is one of the most common reasons for underpayment findings.
Practical Tips for Tracking Hours
- Use decimal hours for payroll: Convert minutes to decimals (e.g. 45 minutes = 0.75 hours) before submitting timesheets, as most UK payroll software processes decimal values and rounding errors can accumulate over weeks.
- Record breaks separately: Always log your break start and end times rather than deducting a fixed break period, because HMRC may query discrepancies between recorded hours and pay when investigating minimum wage compliance.
- Check your contract against statutory limits: Compare your actual weekly hours against the 48-hour average limit over 17 weeks to ensure you are not unknowingly exceeding the Working Time Regulations without a valid opt-out in place.