Preheat your oven to 350°F (175°C). Prepare three 8x2 inch round pans by greasing and flouring them.
In a mixing bowl, sift in the cake mix, followed by the flour, sugar, baking powder, and cocoa powder. Whisk thoroughly to combine, or use a mixer on low for 30 seconds.
Add eggs, milk, oil, and peppermint extract. Mix on low speed for 30 seconds to moisten, then increase to medium speed for one minute. If using a hand mixer, you may need to mix slightly longer.
Evenly distribute the batter across the three prepared pans. Bake for 22 to 24 minutes, or until a toothpick inserted in the center comes out mostly clean with a few crumbs.
Allow the cakes to cool in the pans for 5 to 10 minutes, then carefully turn them onto cooling racks.