How can I print “page # of ##” with the total page number in KOMA (scrartcl/scrletter)?

Question

This questions explains how you can show the total page number of your document in the footer on each page, i.e. show a “page # of ##” instead of the default “page # of #”.
However, even though someone asked for that in the comments, it does not explain how to do that in a KOMA class. It has been suggested to ask a new question.
I use scrartcl for a letter (and load scrletter), so I'd like to do the same here.
So how can I do it there?
The previous question has been asked about scrlttr2 but the best solution there does not work in this case. See example below.
Example code:
documentclass{scrartcl}
usepackage{scrletter}

renewcommand*pagemark{%
  usekomafont{pagenumber}{pagename~thepage~of~letterlastpage}%
}

usepackage{xpatch}
xpatchcmd{opening}{thispagestyle{empty}}{thispagestyle{plain}}{}{PatchFailed}
KOMAoptions{firstfoot=false}% disable first footer

usepackage{lipsum}
begin{document}
begin{letter}{Jerry Garcia710 Ashbury StSan FranciscoCA 94117}
opening{Dear Friend,}
lipsumlipsum
end{letter}

begin{letter}{Jerry Garcia710 Ashbury StSan FranciscoCA 94117}
opening{Dear Friend,}
lipsumlipsum
end{letter}
end{document}

esdd · Accepted Answer

With package scrletter you have to redefine letterpagemark:
renewcommand*letterpagemark{%
  usekomafont{pagenumber}{pagename~thepage~of~letterlastpage}%
}

Example:
documentclass{scrartcl}
usepackage{scrletter}

renewcommand*letterpagemark{%
  usekomafont{pagenumber}{pagename~thepage~of~letterlastpage}%
}

usepackage{xpatch}
xpatchcmd{opening}{thispagestyle{empty}}{thispagestyle{plain}}{}{PatchFailed}
KOMAoptions{firstfoot=false}% disable first footer

usepackage{lipsum}
begin{document}
begin{letter}{Jerry Garcia710 Ashbury StSan FranciscoCA 94117}
opening{Dear Friend,}
lipsumlipsum
end{letter}

begin{letter}{Jerry Garcia710 Ashbury StSan FranciscoCA 94117}
opening{Dear Friend,}
lipsumlipsum
end{letter}
end{document}

Additional information can be found in the KOMA-Script documentation or at the end of this answer.

If the document consits of only letters, you can also use
renewcommand*pagemark{%
  usekomafont{pagenumber}{pagename~thepage~of~letterlastpage}%
}
letletterpagemarkpagemark

This would work with both documentclass{scrlttr2} and documentclass{scrartcl}usepackage{scrletter}.

How can I print “page # of ##” with the total page number in KOMA (scrartcl/scrletter)?

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