How to attach an appliance bracket to a stainless steel table?
That application obviously results in a lot of torsional stress on the part. You'll want to drill the top for bolts and nuts, as opposed to using sheet metal screws, which will eventually work loose. 

I'd size them to the holes in the bracket plate. The type of bolt isn't really important, but you probably want something with a low head profile. It must be stainless, of course. Use lock washers under the nuts, or use flat washers and stop nuts (with nylon inserts). 

You may also want to add a backer plate of heavier material to reduce flex in the table, depending on its thickness gauge. 1/4" aluminum bar between the nuts and the table would do well.

Drilling stainless can be challenging. Do a little reading on tools and technique.