too complex formula

I go around in a circle:
I have a row of headings in the range A1:NA1 where the headings are dates from 1 Jan to 31 Dec, i.e. 365 days
I want to use COUNTA to count a number of cells in a range that are not empty, i.e. in the row A2:NA2. This range includes a "P" in every cell below the corresponding date that a person was present.
However, whereas the start of the COUNTA range would be $A$2, I want the end of the range to correspond with the actual system date of the computer. For this I thought to use NOW.
But, whereas I can find the cell reference for NOW (in row 1), I would need something like OFFSET to find the relevant cell reference in row 2 for the COUNTA function to calculate. If I get this right, then every day the spreadsheet would tell me how many "P" days there were from 1 Jan to the present date - on every new day
And right here I get lost so much that when I turn around I walk into myself .
Can a good soul out there please point me in a direction?
Appreciated.

Try

=COUNTA(OFFSET(A2,0,0,1,TODAY()-"1/1"+1))

Thanks. It works well.

Ah Jonmo1, one more thing if you'd be so kind please:
How would you write that formula in text?
I read A2 is the reference point, "0" because we are not moving up or down, next "0" means what?, "1" I assume to mean width and height, TODAY() for today's date, and what does -"1/1"+1 mean in the formula?
Thank you kindly.