As an econ major, 65% is very high compared to what you really see on campus.
There are a lot of non-econ admits that try to declare the econ major that are not incorporated into that statistic. When considering everyone in the prerequisite classes trying to get into the major, it seems more like 50-55%.
The bottleneck from the class size limits with the intermediate economics courses, combined with the capped major declare-in-your-first-semester transfer requirements, eliminates even more than that.
Econ is not a backdoor into Berkeley L&S and, IMHO, your far better off with Anthropology.