A study found that 85% of new fathers take some time off after the birth of a child—but for all but a few, it’s a week or two at most.
疑问：这里的but for all but a few该怎么样理解是好？这是什么句型结构？
以下是此句的上下文：
The endless debate about “work-life balance” often contains a hopeful footnote about stay-at-home dads. If American society and business won’t make it easier on future female leaders who choose to have children, there is still the ray of hope that increasing numbers of full-time fathers will. But based on today’s socioeconomic trends, this hope is, unfortunately, misguided.
It’s true that the number of men who have left work to do their thing as full-time parents has doubled in a decade, but it’s still very small: only 0.8% of married couples where the stay-at-home father was out of the labor force for a year. Even that percentage is likely inflated by men thrust into their caretaker role by a downsizing. This is simply not a large enough group to reduce the social stigma and force other adjustments necessary to supporting men in this decision, even if only for a relatively short time.
Even shorter times away from work for working fathers are already difficult. A study found that 85% of new fathers take some time off after the birth of a child—but for all but a few, it’s a week or two at most. Meanwhile, the average for women who take leave is more than 10 weeks.
A study found that 85% of new fathers take some time off after the birth of a child—but for all but a few, it’s a week or two at most.
but for all but a few. = 但绝大部分，但除去个其他人外的所有人。
第一个but为并列连词，但。for 对于...来讲。all but a few. 这个but为介词，除去。除去个其他人外的所有人。
