[quote=afx114]I’m curious what percentage of the public would get an education if there weren’t public schools. Any guesses?[/quote]

Right to free and compulsory primary education is established as a human right in the Universal Declaration of Human Rights. There is no stable country in the world that you could use as a reference.

You have significant diversity in numbers once you move from the primary (free, compulsory) to the secondary (available and accessible).
http://portal.unesco.org/en/ev.php-URL_ID=27173&URL_DO=DO_TOPIC&URL_SECTION=201.html