KK hand on the button NL $50

[Tito]

Judging from his stats, I think you may be looking at AQ or QQ here. I don't think he would have raised JQ even from the CO. It's possible he could have AA too but he would have probably pushed preflop. After you reraised preflop I would guess QQ is more likely here because he c/r assuming you would bet his hand for him, which you did. If you are going to call here you may as well push.