The last figures I heard for the US was about 15% GDP. The UK in comparison spends about 8%. I’d imagine Sweden was closer to the UK figure than the US figure which is generally considered as being high.
16% GDP health care costs for US as of 2007, 9 % for Sweden as of 2007.
This is an interesting chart: http://www.ccsd.ca/pubs/2002/olympic/indicators.htm
Given the numbers are from 2002, but I doubt they’re much different now.
Here are the per capita figures:
Health care US $4271 Sweden $2145
Education (primary, per student) US $6043 Sweden $5579
Education (secondary, per student) US $7764 Sweden $5646
(source)