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Income Taxes (Income (Loss) Before Taxes) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Income Tax Disclosure [Abstract]      
United States $ 25.8 $ (11.2) $ 75.4
Foreign 171.1 101.5 95.1
Income before Taxes $ 196.9 $ 90.3 $ 170.5