Choosing the perfect ribeye is fairly easy. According to Steak Revolution, it may be labeled Delmonico or Spencer, which is the same as a ribeye. Look for a steak that is between 3/4" and 1" thick. If you use too thin of a steak, it is more likely that you may overcook it. If you can, select organic or grass fed beef for best quality. Pick a steak that has some marbling of fat in the center of the beef.