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Income Taxes (Income before Income Taxes) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Income Tax Disclosure [Abstract]      
United States $ 681.2 $ 697.5 $ 602.1
Foreign 575.8 503.1 421.5
Income before income taxes $ 1,257.0 $ 1,200.6 $ 1,023.6