Preheat oven to the temperature on the back of the cake mix box. It's usually 350 degrees for a shiny metal or glass pan, or 325 degrees for a non-stick pan.
Put the can of coconut cream in a bowl or shallow dish of hot tap water to sit while baking the cake.
Grease the bottom of the cake pan(s).
Make cake batter according to the back of the box. Depending on the brand, you'll typically use the 3 eggs, ⅓ - ½ cup of vegetable and 1 cup of water.
Add ¾ cup of shredded coconut to the cake batter.
Pour batter with added coconut into the greased baking dish and cook according to the directions on the back of the box. (If you're using a 9 x 13 pan, this is usually 28-33 minutes.)
After cake is finished baking, poke a LOT of small holes in the top of the cake with a large skewer or toothpick. The more holes the better!
Shake the can of warmed coconut cream and open it, then pouring it slowly over the cake. This allows the cream to sink down into the holes in the cake, evenly distrbuting it throughout.
Let the cake cool to room temperature.
Spread whipped cream topping over the cake.
Sprinkle the remaining shredded coconut over the cake.
Refrigerate until ready to serve.