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Income Taxes (Income before Income Taxes) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 02, 2015
Oct. 03, 2014
Sep. 27, 2013
Income Tax Disclosure [Abstract]      
United States $ 602.1 $ 346.8 $ 164.8
Foreign 421.5 218.4 179.7
Income before income taxes $ 1,023.6 $ 565.2 $ 344.5