You can easily get baked on grease off a stainless steel cooktop by using some baking soda and hydrogen peroxide to make a paste.
Make a baking soda and hydrogen peroxide paste with three parts baking soda and one part hydrogen peroxide.
Use a sponge or scrub brush and scrub the stove until the grease breaks down.
Then, wipe the stove off with a dry towel.
If you have no hydrogen peroxide then using some baking soda and water will also work.
If you have burnt-on stains on your stainless steel cooktop, first try removing any loose debris with a damp sponge, being careful not to scratch the surface.
Then, make a paste out of three parts baking soda to one part water.
Mix this and apply it to the stains with a sponge, soft brush or paper towels.
Vinegar and baking soda can also be used on stainless steel and on stainless steel cooktops.
Baking soda makes a great stainless steel sink cleaner because it is abrasive enough to scrub away light hard water deposits and stuck-on grease and food, but not so abrasive as to scratch shiny stainless steel fixtures like faucets.
You can then rinse the sink with vinegar, which will bubble and fizz.