What is best way to clean dirty vinyl floor tiles?

1. Sweep or vacuum the obvious dirt 2. Mop with water. (Fill the bucket no more than half way, change the dirty water often, wring the mop well before placing on the floor) 3. Rinse the dirty mop well, then mix 1 cup white vinegar per 1 gallon of water. 4. Mop using solution. If water gets dirty, change out water with solution and continue.