http://en.wikipedia.org/wiki/Kingdom_Holding_Company
Kingdom Holding Company holds a significant amount of
News Corp. Stock, the Parent Company to Fox News
So, at first inspection, the most easily obtainable number is less than 20%.
Your link shows 1% ownership of Newscorp.
There are documented instances where Fox news wanted to run a program or news item which could be considered disparaging to the Saudis, a phone call was made and the story squashed.
This is the alleged basis of why Glenn Beck really left Fox.
Who controls the news?