satisfy : Idioms & Phrases

• adjective satellite marked by excessive complacency or self-satisfaction
  smug.
  
  • a smug glow of self-congratulation
• adjective satellite contented to a fault with oneself or one's actions
  complacent; self-complacent.
  
  • he had become complacent after years of success
  • his self-satisfied dignity

WordNet

Self`-sat"is*fied adjective

Definitions

1. Satisfied with one's self or one's actions; self-complacent.

Webster 1913

Self`-sat"is*fy`ing adjective

Definitions

1. Giving satisfaction to one's self.

Webster 1913