the way of the world vs doings

the way of the world and doings both are nouns.

Word	Noun	Adjective	Verb	Adverb
the way of the world	Yes	No	No	No
doings	Yes	No	No	No

As nouns, doings is a hypernym of the way of the world; that is, doings is a word with a broader meaning than the way of the world:

the way of the world: the manner in which people typically behave or things typically happen
doings: manner of acting or controlling yourself

Other hypernyms of the way of the world include behavior, behaviour, conduct.

the way of the world (noun)	doings (noun)
the manner in which people typically behave or things typically happen	manner of acting or controlling yourself