Ok so a friend of mine and I were talking situational poker on AIM this morning and we came up with following scenario. We both of course knew right away that this a fold most of the time, but I am curious to see how often I could call and it WOULD be profitable. Anyways here goes:

Villain is in MP with 100bb stack. His stats over a large sample size are 20/15 with a 60% c-bet.

We are on the button with 200bb stack. Our image is clean and tight, nitty actually. We're running at a 13/11.

Scenario:

UTG folds.
Villain raises to 4xbb.
CO folds.
Hero calls 4xbb with JJ.
SB folds.
BB folds.

Flop: Kxx Rainbow. (x's are not connecting undercards to our J's)
Villain bets 2/3 pot or 6xbb.
We minraise to 12xbb.
Villain calls 6xbb.

Turn: Kxx X (again unconnected under card)
Villain shoves all in.
Hero ?

Ok so this is where we started talking about how often we could call to make it a profitable play. We want to do this strictly by mathematics. I figured it out that it will cost us 84bb to call his shove. There would be 116 in the pot after his shove. So we're only getting 1.38 to 1 for pot odds. Obviously a bad call all day. But here is where we both get confused. How do you figure out how often you can call to make it profitable? I want to learn how to do this just for the simple fact that it will come in handy when I'm reviewing my HH's. Thanks for any and all answers!