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I don't think you included out of pocket payments for Singapore, but you have for England.

I rounded heavily, instead of looking it up. Blame laziness.

https://data.worldbank.org/indicator/SH.XPD.CHEX.GD.ZS?end=2... has the numbers. Picking 2019 to avoid covid's effects you get:

US: 16.68%

UK: 9.87%

Singapore: 4.42%

The world bank also has data to show private vs public health expenditure.