Clean to soiled, dry to wet
The basic principle is to work from the least soiled areas towards the most soiled, and to leave wet work until the point where it will not be walked back through. That means offices and meeting areas before kitchens, and kitchens before amenities, with floors in each area handled as the cleaner leaves rather than on the way in.
Reversing that order has consequences well beyond appearance. Working through the amenities first and then moving into an office carries soil in exactly the wrong direction, and mopping a corridor before completing the rooms it serves means walking across it repeatedly for the rest of the visit. Neither takes any longer to do correctly; it simply requires the sequence to be decided once and then written down somewhere.
