How do you clean gunk off of vinyl tile flooring?

Purchase a can of ( AFTA ) at Home Depot, usually located in the carpet section. Very little goes a long way.

Try to gently scrape the gunk off of the floor. Sometimes a small spray of WD40 and a few minutes will work to remove the rest. If you are trying to remove wax or Mop and Glo, use ammonia water to mop the floor. Let it soak a few minutes and then rinse. It may take a few times, but the ammonia will generally pick up the grime.