Lord Ashcroft's polls dataset (Table 3 covers education)
http://lordashcroftpolls.com/wp-content/uploads/2016/06/How-the-UK-voted-Full-tables-1.pdf
Aha, I see, thanks!
It's actually a bit worse than you put it, would you believe it. The uneducated percentage is correct (albeit statistically somewhat unreliable), but the higher education percentage is even more skewed in favor of staying in the EU (!). It's 57% of those with a university degree, but 64% of those with a higher university degree. There is a very strong correlation between having a higher education and voting to remain and between lower education and voting to leave. Those still in full-time education voted overwhelmingly to remain.
Ambrosia pointed out that higher education doesn't necessarily mean higher intelligence. While this is true, the fact is also reflected in the polls - some of people with higher degrees voted to leave and some of the uneducated voted remain, for example. Just like there is a (notable) correlation between higher intellect and higher education, there is also a similar correlation between education and voting result
McHrozni