persuasion vs idea

persuasion and idea both are nouns.

Word	Noun	Adjective	Verb	Adverb
persuasion	Yes	No	No	No
idea	Yes	No	No	No

As nouns, idea is a hyponym of persuasion; that is, idea is a word with a more specific, narrower meaning than persuasion:

persuasion: a personal belief or judgment that is not founded on proof or certainty
idea: a personal view

persuasion (noun)	idea (noun)
a personal belief or judgment that is not founded on proof or certainty	the content of cognition; the main thing you are thinking about
the act of persuading (or attempting to persuade); communication intended to induce belief or action	your intention; what you intend to do
	an approximate calculation of quantity or degree or worth
	a personal view
	(music) melodic subject of a musical composition