Pocket Rockets and other premiums play style

Hello all first post here.. I had a question last night about how I played a hand which turned out very good for me but still not sure if I played it right. So the stakes are 1/2 dollars. My stack 240. I'm sitting on the button when I get POCKET ROCKETS!!!! Lol.. my table image atm was being loose aggressive although really I had just gotten premium hands... the hand before I had been jamminh the pot with kj (flop was kkj) guy called till river and folded. Anyway I digress back to the hand. UTG raises standard 3bb to 6 dollars and is called by someone in middle position. Its folded to me. This is where I think I made either a great move or very stupid move... I raise to 40 dollars.. blinds fold and orignal raises shoves all in with 216 dollars. The guy in middle shoves with 236.. I call... UTG shows AK spades.. middle shows KK. And me with AA.. I took down a huge pot.. but was my 40 reraise good or bad how should I have played that.

it was good...you won right!!! and it was a big pot