Chess notation order

Hello everyone!

Long story short: I've recently been doing some research on chess notation (the format that PGN uses), and I've come to a few problems.

If a pawn promotes, it gets an =<whatever it promoted to> added on: f8=Q

If a piece gives check (or checkmate), it gets a + or #: Qa1+

And both of them are stated to be added on to the end.

But what if a pawn promotes and then gives check (or checkmate)? Would that be f8=Q+ or f8+=Q?

So my question is: is there any given order for extra things added on to the move itself?

Thanks in advance!

Indicate what you promote that pawn to first,  then if it happens to be a check, then add  "+" .

Otherwise you could promote to a knight, Rook or Bishop -- which might not be check

also, the "#" symbol is reserved to show checkmate.     All other checks use "+"

Thank you! You've been very helpful! :)