Japanese with Manga

Feeling better with

気(き)が済(す)む means “to feel satisfied” or “to be at peace” after resolving a concern, reaching a goal, or finishing something that weighed on you.

Dictionary Definition

気持(きも)ちがおさまる。また、満足(まんぞく)する。心(こころ)が落(お)ち着(つ)く。

Feelings settle down. To be content again. The mind calms down.

Goo Dictionary

Further Reading

Examples

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Feeling better after a scolding with 気が済む

Idiom Explanation: Feeling better with 気が済む

Manga panel from アオハライド showing example of Feeling better after a scolding with 気が済む.
アオハライド » Volume 1 » Page 88

Futaba is falsely accused of stealing by a lunch lady, but Tanaka steps in and vindicates her. Soon after, Futaba thanks Tanaka, saying that when she was accused, she was so angry she didn’t know what to do.

双葉(ふたば):
「でも田中(たなか)くんが怒(おこ)ってくれたから気(き)が済(す)んじゃった」
“But since you scolded her for me, I felt better.”