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Swiss taxes vary hugely between cantons (equivalent of a state in the US) and you pay even less than 16% depending where you live. An example based on the official Swiss Federal Tax Administration online calculator [0]. Single no children living in canton Zug Switzerland (one of the Swiss tax havens):

Gross income CHF 120'000 minus deductions you end up with 100K taxable income and the total tax burden (federal, cantonal and communal) is about 11K.

Edit: the same example for a canton with higher taxes (Bern) gives a total tax burden of 22K

[0] http://www.estv2.admin.ch/e/dienstleistungen/steuerrechner/s...