I live in Australia where there are two types of schools - public and private. It's roughly 2/3 and 1/3. Private schools cost up to $40,000 a year.
It's an insane amount of money.
The strange thing is that many middle class families send their kids to private schools. They have to absolutely blow the budget to do so, but they do it as a mark of pride. Strange, because as far as I can tell (from asking my private school educated friends), all the benefits of a "private education" were ephemeral: better facilities, posher surroundings. Those things are nice, but I don't think they add anything to the skillset or gumption of a child.
I suspect the only real benefit of a private school education is that your kids learn "class manners" and related trappings earlier. But if you really care about it that much, send them to etiquette class, or something. Or teach them yourself. Or get them to network in university and they will learn it all, maybe a bit later than the other kids, but early enough to still get a good job.
This comes up because the other day an acquaintance of mine made a snide comment about my car being somewhat extravagant. I shot back - "Well it's a lot less than 6 years of private school education, and at least it has an objective benefit." Hehe.