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Assuming opponent will call your push, ICM says you need to be 34% or better to win the hand. Here are some of your win percentages vs. various hands he could hold:
22+, A2+, K9+, QT+, JT: 60%
66+, AT+: 47%
88+, AJ+: 43%
88+, AQ+: 37%
88+, AK+: 34%
TT+: 33%
JJ+: 30%
If you have a read that he's raising with more than just JJ+, it looks like you have the odds to push over. I agree though that you should have pushed pre-flop. I like the 13BB rule for pushing pre-flop. If I hadn't run the ICM numbers and I was in this situation, I probably would have folded to his push and waited for a better spot.
Edit: You have to odds to push over if he's raising with wider than TT+, not JJ+.
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