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The Rata Die method works by adding up the number of days d that has passed since a date of known day of the week D. The day of-the-week is then given by (D + d) mod 7, conforming to whatever convention was used to encode D. For example, the date of 13 August 2009 is 733632 days from 1 January AD 1. Taking the number mod 7 yields 4, hence a ...
Multiply the week number by 7. Then add the weekday number. From this sum subtract the correction for the year: Get the weekday of 4 January. Add 3. The result is the ordinal date, which can be converted into a calendar date. If the ordinal date thus obtained is zero or negative, the date belongs to the previous calendar year;
Note: In this algorithm January and February are counted as months 13 and 14 of the previous year. E.g. if it is 2 February 2010 (02/02/2010 in DD/MM/YYYY), the algorithm counts the date as the second day of the fourteenth month of 2009 (02/14/2009 in DD/MM/YYYY format) For an ISO week date Day-of-Week d (1 = Monday to 7 = Sunday), use
For example, if the fiscal year end month is August, the company's year end could fall on any date from August 25 to August 31. In particular, the last fiscal week is the one that includes August 25 and the first fiscal week of the following year is the one that includes September 1. In this scenario, fiscal years would end on the following days:
Thus, for any date except February 29, the intervals between common years falling on a particular weekday are 6, 11, 11. See e.g. at the bottom of the page Common year starting on Monday the years in the range 1906–2091. For February 29 falling on a particular weekday, there is just one in every 28 years, and it is of course a leap year.
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The first Sunday after December 21, 2024 is given by "{{Weekday after date|2024|December|21|Sunday}}" as "December 22, 2024". In the following table, 24 October 2010 is a Sunday. Syntax
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related to: excel add weekdays to date