I am a little confused about how to utilize ITA Software's flight
search results.

With Orbitz, Kayak, etc., you can buy the ticket, or you are taken to a
site where you can buy it.

However, with ITAsoftware you get "booking details" after which it is
unclear what to do.

Are you supposed to go to a brick and mortar travel agent, who can get
that ticket at that price?

Anyway, if somebody has used ITAsoftware to somehow actually book
tickets, I'd appreciate a pointer.