Once again, I am going to extoll the virtues of vinegar.
I've got a small spray bottle of straight white vinegar that I use for cleaning. I like to use it undiluted, really cuts the grease.
Today I cleaned my tile kitchen floor and it looked great.
I spray a section, wipe it down with a cloth (everything comes off easy), then move to the next section. I rinse out the cloth every other section and wring it almost dry. The smell is actually appealing to me, and it only lingers for a moment anyway.
When I'm done, the floor is sparkling clean with no fake, cloying "spring breeze," flower or pine scent, just fresh and white.
Thank you, vinegar.