Collocations for contrary - adj.

be, run, seem
These results run contrary to our expectations.
It seems contrary to common sense.

completely, directly, entirely (esp. BrE), quite, totally
The new claim is directly contrary to what was originally stated.

clearly

to
Contrary to what the public was told, weapons were still being exported.

contrary to expectations
Contrary to expectations, we didn't have any hold-ups.

contrary to popular belief
Contrary to popular belief, the economy is doing well.

Contrary is used with these nouns:
impulse, opinion, view