help with this hand

Ok so this was a low limit sng stt. I had in the past few hands won some all ins with out a caller as had the other players. So my question is was it right to push here? I feel that it was but am not sure.

*********** # 61 **************
PokerStars Game #2182367132: Tournament #10479607, Hold'em No Limit - Level IX
(300/600) - 2005/07/25 - 03:42:53 (ET)
Table '10479607 1' Seat #4 is the button
Seat 2: WLDBILL (2311 in chips)
Seat 4: originalst3 (7797 in chips)
Seat 7: laser16 (3392 in chips)
WLDBILL: posts the ante 50
originalst3: posts the ante 50
laser16: posts the ante 50
laser16: posts small blind 300
WLDBILL: posts big blind 600
*** HOLE CARDS ***
Dealt to laser16 [Ks 2c]
originalst3: folds
laser16: raises 2742 to 3342 and is all-in
WLDBILL: calls 1661 and is all-in
*** FLOP *** [Ts Jd 7d]
*** TURN *** [Ts Jd 7d] [Jh]
*** RIVER *** [Ts Jd 7d Jh] [Qh]
*** SHOW DOWN ***
laser16: shows [Ks 2c] (a pair of Jacks)
WLDBILL: shows [8h 8s] (two pair, Jacks and Eights)
WLDBILL collected 4672 from pot
*** SUMMARY ***
Total pot 4672 | Rake 0
Board [Ts Jd 7d Jh Qh]
Seat 2: WLDBILL (big blind) showed [8h 8s] and won (4672) with two pair, Jacks
and Eights
Seat 4: originalst3 (button) folded before Flop (didn't bet)
Seat 7: laser16 (small blind) showed [Ks 2c] and lost with a pair of Jacks

I posted this hand on pscrew.com and got made fun of for playing K2o. However the question wasnt really susposed to be about my hole cards but about what percentage of the time my oppent has to fold to make pushing here the right play. Thanks for your help.