Calculate date given weekday and week number
This article demonstrates a formula that returns a date based on a week number and a weekday like Sun to Sat. It uses the current year to calculate the date.
La Thăng asks:
I want to find the day if given date and week, for example: if given Tuesday, 32nd week, 2015 >>> how to create a formula to point out 4/8/2015?
What's on this page
1. Calculate date given weekday and week number (week starts on Sunday)
Formula in cell D6:
Explaining formula in cell D6
Step 1 - Calculate the first date of this year
The TODAY function returns today's date, the function is volatile meaning it recalculates every time you enter a value in a cell and press enter or press F9.
TODAY() returns 5/8/21.
Step 2 - Calculate the first date of this year
The YEAR function returns the year based on an Excel date.
YEAR(TODAY())
becomes
YEAR(44324)
and returns 2021.
Step 3 - Calculate the first date of this year
The DATE function returns an Excel date based on a year number, month number and day number.
DATE(year, month, day)
Year is a number from 1900 to 9999, month is a number from 1 to 12. 1 = January, ... , 12 = December. Day is usually a number between 1 and 31 but can be larger.
DATE(YEAR(TODAY()), 1, 1)
becomes
DATE(2021, 1, 1)
and returns 44197.
Step 4 - Subtract with the corresponding weekday number
The WEEKDAY function converts an Excel date to a number ranging from 1 to 7, based on when the week begins.
WEEKDAY(serial_number, [return_type])
If you live in the US the week in starts on Sundays, return_type is 1.
WEEKDAY(DATE(YEAR(TODAY()), 1, 1), 1)
becomes WEEKDAY(44197, 1)
and returns 6. 44197 is 1/1/2021 and that day is a Friday.
1 - Sunday, ... , 7 - Saturday.
Step 5 - Subtract date with weekday number
DATE(YEAR(TODAY()), 1, 1)-WEEKDAY(DATE(YEAR(TODAY()), 1, 1), 1)
becomes
44197 - 6 equals 44191.
Step 6 - Calculate and add the number of days from Monday/week 1 to Monday/(nth week -1)
+7*(D4-1)
Example, 7*(32-1)
becomes
7*31 and returns 217.
Step 7 - Calculate and add weekday number
The MATCH function returns the relative position of the given item in a cell range or array.
MATCH($D$4, {"Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat"}, 0)
If you week begins on sunday, this is the array you want to be using:
{"Sun", "Mon", "Tue", "Wed", "Thu", "Fri", "Sat"}.
Example, "Tue" returns 3. "Tue" is in position three in the array.
Step 8 - Add and subtract
44192+217+2 = 44411
44411 is 8/3/2021.
2. Calculate date given weekday and week number (week starts on Monday)
This example demonstrates a formula that works with weeks that begin with Mondays.
Formula in cell 5:
Note that the WEEKDAY function uses 2 in the second argument meaning the week begins with a Monday and the array in the second argument in the MATCH function begins with Monday.
Tip! You can shrink the formula if you can convert the weekday to a number yourself.
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