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Adam,
I don't know what geno 2 or 23andme consider as Neanderthal ancestry, but
The proportion of Neanderthal-derived ancestry was estimated to be 1–4% of the Eurasian genome.[2] In 2013, the same team of researchers revised the proportion to an estimated 1.5–2.1%.
https://en.wikipedia.org/wiki/Archaic_human_admixture_with_modern_humans#Neander thals
you might be interested in watching this tutorial
http://www.ucsd.tv/search-details.aspx?showID=30971
kind regards
Eddy