I usually spray the floor with Libman floor cleaner, let it sit, then mop over it with the premoistened cloths! It does an amazing job and gets every possible mess cleaned up! And two three year old boys make huge messes! :)
I concur with a lot of the responses here. These are good for small areas and quick cleans ups, but attempting to do a whole house or even larger apartment with only one cloth is not going to be successful.