aggrandizement vs step-up

aggrandizement and step-up both are nouns.

Word	Noun	Adjective	Verb	Adverb
aggrandizement	Yes	No	No	No
step-up	Yes	No	No	No

As nouns, step-up is a hypernym of aggrandizement; that is, step-up is a word with a broader meaning than aggrandizement:

aggrandizement: the act of increasing the wealth or prestige or power or scope of something
step-up: the act of increasing something

Other hypernyms of aggrandizement include increase.

aggrandizement (noun)	step-up (noun)
the act of increasing the wealth or prestige or power or scope of something	the act of increasing something