On a 23andme ad a woman was claiming tests showed she was either 29 percent or 39 percent Native American - I forget which one.
I puzzled over that one because I thought you would get increments like .5, .25, .125, .0625 ... but it would take some inbreeding and/or lots of generations to get to .29 or .39.
Though really I have not steeped myself in the science of it. I did click on the link above relating to Beringia migrations and studying genetic diversity in various sup-populations of "indigenous" Americans (as in "the Americas," not the U.S.). I have a great-grandmother who my mother says was sent to Carlisle Indian School as if it was some honor - but the GGM could not have been 100 percent native; she gave birth to a blue-eyed daughter.
That daughter, my grandmother, showed some home movies taken when she visited relatives (cousins?) in Oklahoma and those people looked like straight-up Indians to me.
But my mother's sister disputed my mom's account of the family history anyway, as if it was low-class, which might make me a victim of cultural genocide.