I quickly found some numbers from 2008. All numbers are a percentage of GDP:
US: 7.4% public, 8.5% private
Switzerland: 6.3% public, 4.4% private
Sweden: 7.7% public, 1.7% private
France: 8.7% public, 2.5% private
graphic:
https://kaiserfamilyfoundation.files.wordpress.com/2011/04/h...
kff study:
https://www.kff.org/health-costs/issue-brief/snapshots-healt...