I tried some super fine steel wool to get out some scratches on the performers stainless. OH Boy! I ran out of elbow grease. I went to 600 then 800 grit wet/dry sand paper, and I used it wet. I went real careful at first on the back side of the lid to see how it would do and it worked great. Definatly, you have go with the grain.
For the record, I was not going for perfection. I just had a few spots that looked like somebody got crazy against the grain with something coarse. I still have some battle scars that I have no problem with.