contract out vs subcontract

contract out

verb
  • To hire an outside service for a project instead of handling it internally; to sign a contract for provision of a good or service. 

subcontract

verb
  • To contract out portions of a larger contracted project. 

noun
  • A portion of a contracted project that is contracted out in turn. 

How often have the words contract out and subcontract occurred in a corpus of books? (source: Google Ngram Viewer )