How much Neanderthal are you?

I recently had my genome analysed through 23andme and one of the factoids that you get out of this is the estimated percentage of you DNA that is from Neanderthal ancestry.  In my case, 2.9% on the 76th percentile compared to the 2.5% average for European and Chinese. My wife was on the average… I knew she was not as “primitive” as me. But what does this all really mean?