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The last week of the ISO week-numbering year, i.e. W52 or W53, is the week before W01 of the next year. This week's properties are: It has the year's last Thursday in it. It is the last week with a majority (4 or more) of its days in December. Its middle day, Thursday, falls in the ending year. Its last day is the Sunday nearest to 31 December.
A leap week calendar can take advantage of the 400-year cycle of the Gregorian calendar, as it has exactly 20,871 weeks: with 329 common years of 52 weeks plus 71 leap years of 53 weeks, a leap week calendar would synchronize with the Gregorian every 400 years since (329 × 52 + 71 × 53 = 20,871).
A variation is the 52–53-week calendar. It is used by companies that want their fiscal year to always end on the same day of the week. Any day of the week may be used, and Saturday and Sunday are common because the business may more easily be closed for counting inventory and other end-of-year accounting activities.
Leap years that begin on Wednesday, along with those starting on Tuesday, occur at a rate of approximately 14.43% (14 out of 97) of all total leap years in a 400-year cycle of the Gregorian calendar. Thus, their overall occurrence is 3.5% (14 out of 400). For this kind of year, the corresponding ISO year has 53 weeks.
Broadcast calendar years can have either 52 or 53 weeks. A broadcast calendar will have 53 weeks in a leap year where January 1 falls on a Saturday or Sunday, or in a common year where January 1 falls on a Sunday. In the 21st century, 53-week broadcast calendar years are 2006, 2012, 2017, 2023, 2028, 2034, 2040, 2045, 2051, 2056, 2062, 2068 ...
For this kind of year, the corresponding ISO year has 53 weeks, and the ISO week 10 (which begins March 1) and all subsequent ISO weeks occur earlier than in all other years, and exactly one week earlier than common years starting on Friday, for example, June 20 falls on week 24 in common years starting on Friday, but on week 25 in leap years ...
Companies in Europe often use year, week number, and day for planning purposes. So, for example, an event in a project can happen on w43 (week 43) or w43-1 (Monday, week 43) or, if the year needs to be indicated, on w0643 (the year 2006, week 43; i.e., Monday 23 October–Sunday 29 October 2006). An ISO week-numbering year has 52 or 53 full ...
In a Gregorian mean year, there are 365.2425 days, and thus exactly 52 + 71 ⁄ 400 or 52.1775 weeks (unlike the Julian year of 365.25 days or 52 + 5 ⁄ 28 ≈ 52.1786 weeks, which cannot be represented by a finite decimal expansion). There are exactly 20,871 weeks in 400 Gregorian years, so 22 February 1625 was a Saturday just as was 22 ...