1
general::
Phrase(s): amount to the same thing [and] come to the same thing; add up to the same thing
Fig. to be the same [as something]. • Borrowing can be the same as stealing. If the owner does not know what you have borrowed, it amounts to the same thing. • With cars—whether they’re red or blue—it comes to the same thing.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Also, come to the same thing. Make no difference, be the same, as in Since it's supposed to rain all day, whether I go outdoors now or later will amount to the same thing, or Paying in cash or with a credit card, it comes to the same thing.
American Heritage Idioms