Cocos (Keeling) Islands is about 105,811 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Cocos (Keeling) Islands is approximately 14 sq km, making Cocos (Keeling) Islands 0.0% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (709,635 fewer people live in Cocos (Keeling) Islands).
Tip: This to-scale comparison of Alaska vs. Cocos (Keeling) Islands uses the Mercator projection, which distorts the size of regions near the poles.