The rule for this style of accounting is straightforward: a person is 50% what their mother was and 50% what their father was.
Sometimes one will want to simplify a result. For instance, if your mother is Russian and your father is half Russian and half Chinese, then you are 50% Russian plus 50% half-Russian-half-Chinese, which you can simplify like this:
25% = 50% x 50% Chinese (father)
25% = 50% x 50% Russian (father)
50% = 50% x 100% Russian (mother)
simplifies to
25% = 50% x 50% Chinese (father)
75% = 25% + 50% = (50%*50%+50%) Russian (father plus mother)
So under the presumption that "being Russian", "being Jewish", etc. is inherited in this way, if your great-grandmother was Jewish, then you are 50%x50%x50% = 12.5% Jewish because of her, plus whatever percentage Jewish you inherit from your other seven great-grandparents.