Speak To Meaning

(idiomatic) To (figuratively) resonate with, to feel emotionally relevant to.

Example: 2006, Staff of Vault, The College Buzz Book, page 176:
  This definitely speaks to the fact that at Georgetown, beginning at the admissions process, you're not a number but a real person.
1981, McGill journal of education:
  Education for being speaks to what grows within the person himself
  His music really speaks to me.