The company won a multi-million-dollar 'contract' to build a new courthouse. = The company was awarded a multi-million-dollar 'contract' to build a new courthouse.
The company 'contracted out' its manufacturing jobs. [=the company paid another company to do its manufacturing jobs instead of doing them itself]
If he breaks the 'contract' [=if he does not abide by the agreement], he will get sued.
(..) - How did he do that? - Made him an offer he couldn't refuse. - What was that? - Luca Brasi held a gun to his head, and father said that either his brains or his signature would be on the contract. That's a true story. That's my family, Kay. It's not me. Beautiful! I'll take care of it. Tom... (..)1972 The Godfather
(..) How? - Let's listen to this song. - Michael... Please, Michael. Tell me. When Johnny was starting out, he was signed to a personal service contract with a big bandleader. And as his career got better and better, he wanted to get out of it. Johnny is my father's godson. (..)1972 The Godfather