Vice Captain Yousuf Youhana also shone with bat scoring a well-paced 50 off 68 balls. But it was Younis who stood tall like a rock as he forged a significant partnership of 76 with Mohammad Hafeez to pocked the match for the tourists.
Pakistan made a disastrous start losing both the openers Taufeeq Omar (five) and Butt (23) cheaply. Yasir Hameed fared little better when he fell for five, caught behind off Mick Lewis.
Earlier, the home side were packed out for just 191 despite an whirlwind 40 off 13 balls from opener Luke Ronchi.
Ronchi clouted two sixes and six fours as the home side rattled up 57 off four overs, but once he fell, the rest of the batting line-up folded up like a pack of cards.
The local side could have been in more trouble had not Chris Rogers (46) and Stewart Heaney (35) resurrected the innings with a fifth-wicket stand of 61 to give a semblance of respectability to the score.
For Pakistan, all-rounders Shoaib Malik grabbed three for 28 while Azhar Mahmood finished with two for 23. Young seam bowler Mohammad Khalil had a forgettable day as he was taken to the cleaners by Ronchi conceding 51 from his six overs.