Does it sound natural to your ears if someone says that he or she found his/her way meaning that he or she found his/her way of life? If not, is there maybe another way of saying this shortly, e.g. by a well-known idiom?
It's common in the US to use that expression. It refers to the poetic notion that there are paths that one chooses in life, (like paths through the forest) so, "finding your way" is like "choosing the correct path."
It sounds quite natural and makes perfect sense. You can also add "in life" to make it clear that you mean this.