Stanford appears to take about half of its transfer students from CCs, but the total number of transfer students per year is only a few dozen at most. Also, they seem to emphasize the non-traditional backgrounds (e.g. military veterans) of many of their transfer students in their announcements.
http://news.stanford.edu/news/2012/september/new-student-orientation-091712.html
http://news.stanford.edu/news/2014/september/class-new-students-091514.html
https://news.stanford.edu/2015/09/14/nso-starts-tuesday-091415/