speak (one's) language

speak (one's) language

To say something or communicate in a way that aligns with one's preferences, desires, motivations, etc. A: "Look, I know all this technical jargon is pretty boring. Why don't we finish early for the day and go out for pizza?" B: "Oh yeah, now you're speaking my language!" A: "I'm a little worried about pitching my idea to the board of directors tomorrow." B: "Just focus on how your plan will boost profits, and you'll be speaking their language."
See also: language, speak
Farlex Dictionary of Idioms.

speak someone's language

Fig. to say something that one agrees with or understands. I gotcha. Now you're speaking my language. Mary speaks Fred's language. They get along fine.
See also: language, speak
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

speak someone’s language

tv. to say something that one agrees with or understands. I gotcha. Now you’re speaking my language.
See also: language, speak
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions
See also:
  • speak language
  • speak someone’s language
  • run (one's) own show
  • run one's own show
  • know (someone or something) like a book
  • know like a book
  • get past
  • get past (oneself)
  • (one's) (true) stripes
  • (one's) true color(s)