The difference is, in the past 10+ years, Neanderthal DNA has been extracted, analyzed & compared to our own.
The major findings were:
Bottom line: much of the numbers you arrive at depends on what exactly, and how, you measure, but the overall average of 2% Neanderthal DNA in non-African humans seems to me a fair estimate.
Your 40% refers to the fact that not everybody is the same 2% Neanderthal.
So, some of us, especially (but not only) us males, may be more Neanderthalic than others. ;-)
Some typical Neanderthals, ancient & modern:
Oooooooops!
It was supposed to be the Olsen Triplets, but the latter's career never really took off for some reason.
Very informative and funny!