Filet mignon is the smaller tip of tenderloin and one of the most expensive cuts of steak, due to its prized texture and that's only about 2% of the total animal. For a medium steak, we cooked our steak at medium-high heat on the stovetop for around 5 minutes, then flipped, added our butter, and cooked for an additional 3-5 minutes. We then transferred our skillet to a 400° oven and cooked for around 5 minutes.