big cheese vs chief executive officer

big cheese

noun
  • A very important figure, especially a high-ranking person in an organization. 

chief executive officer

noun
  • The highest-ranking corporate officer or executive officer of a corporation, company, or agency, responsible for carrying out the policies of the board of directors on a day-to-day basis; CEO. 

How often have the words big cheese and chief executive officer occurred in a corpus of books? (source: Google Ngram Viewer )