outfit vs fit out

outfit is a noun but fit out is not a noun.

Word	Noun	Adjective	Verb	Adverb
outfit	Yes	No	Yes	No
fit out	No	No	Yes	No

As verbs, outfit and fit out are synonyms defined as:

outfit and fit out: provide with (something) usually for a specific purpose

Other synonyms of outfit include equip, fit.

outfit (noun)	fit out (noun)
gear consisting of a set of articles or tools for a specified purpose
a set of clothing (with accessories)
any cohesive unit such as a military company

outfit (verb)	fit out (verb)
provide with (something) usually for a specific purpose	provide with clothes or put clothes on
	provide with (something) usually for a specific purpose