The myth of 1% difference started in the 1970's using DNA hybridization on selected samples.
You might be able to find a copy of "Relative Differences: The Myth of 1%", Jon Cohen, Science 29 Jun 2007. Unfortunately the original is behind a paywall.
The real difference is probably more than 10%. The changes include around 35 million base-pair changes, over 700 genes, the increase in brain mass, as well as the obvious ability to walk on two feet and talk.
Here's a podcast where Dr. Ann Gauger discusses the differences between human and chimpanzee genomes.
How Chimps and Humans are Different, Pt. 1: The Genome | ID the Future
Edited by CRR, : revised