When to put in the breaks?

I always mess up in the end. How should I have acted here?

I am number 2 out of about 600 players that are left in the tournement (it's a turbo tourn with 900 starters at Pokerstars). Since I am huge compared to the other I play a pretty rough game, constantly stealing blinds from anywhere on the table. After awhile, a new guy comes in that has about 85% the size of my stack on the opposite side of the table, so I figure I have to take it much easir with my all ins and when involved with the other big guy, even start playing abit more again. I get AK on the BB. Big guy raises pretty much, but very little compared to the chip stack. I figure he has a pair, but since I have AK, it probably isn't AA or KK since the probability for that is about the half the normal probability. To avoid an all in situation, I only check. The flop: AK7.
I don't remember if I check or raise, but he raises, and suddenly I am all-in without thinking to much about it. (Very stupid since proce 1 to 50 is a ticket to level 2 of the tournment.) I figured the only thing that beats me now is:
AA (1 possibility)
KK (1 possibility)
77 (3 possibilities)

The rest of the cards on the board doesn't help anyone, but I lose. When should I have put in the breaks?

it would be better if you could remember how much the blinds were, what your chipstack was in relation to the blinds, how much his preflop raise was, especially if you checked or raised the flop, who was in position, etc.

You have AK, it is less likely that he has AA or KK, but that doesn't mean he doesn't have one of those hands.

I don't play many MTTs, but if you both are deep stacked (blinds are small in relation to your stacks) I would reraise him preflop, assuming you have position. Then you know if he pushes that he may just have AA or KK.

There is more to a hand than just your cards and the flop: You have to remember and consider a lot of different factors - all of which are relevent.

If you are one of the chip leaders I wouldn't get too carried away with getting your chips in preflop if villain can hurt you when in a satellite. On that flop with AK it's a tough fold. I agree with ThelVlaster that a reraise would be better pre to know where you are at. If he smooth calls, then probably not a big pp, however if he just calls you can put him on 66-JJ (maybe QQ), KQ, AJ+. Although this depends on how loose or tight he is playing. One other thing it's "put ON the breaks." You don't put breaks in when stopping, you put them on.