This pattern means to place reliance or dependence on.

- only used with action verbs

Examples:
그 것은 생각하기 나름입니다./It depends on the way you think.
모두가 자기가 하기 나름이에요./Everything depends on what you do(whether or not you are liked by others, etc.).
먹기 나람이지만 음식이 모자라지는 않을 거에요./It depends on how (much) people eat but I don't think we'll be short of food.