na-adjective
satisfied-looking; contented appearance
Describes someone's expression or demeanor as showing satisfaction or contentment. Often used with に as an adverb or な as an adjective.
彼は満足げにうなずいた。
He nodded with a satisfied look.
満足げな表情で結果を見つめていた。
She was gazing at the results with a contented expression.
満足 is the noun/adjectival noun for 'satisfaction' or 'being satisfied', while 満足げ specifically describes the outward appearance of satisfaction.
Compound of 満足 (satisfaction) and the suffix げ (appearing, seeming). The suffix げ attaches to nouns or adjective stems to indicate an outward appearance or manner.