contrary to (something)
In opposition to something. There's no way we can get all these documents scanned in a week, contrary to what the boss thinks. Contrary to popular opinion, higher taxes end up benefiting people more than lower ones.
contrary to something
in spite of something that seems to suggest otherwise; regardless of something else. Contrary to what you might think, I am neat and tidy. Contrary to public opinion, my uncle is well and healthy.