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Income Taxes (Income before Income Taxes) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 28, 2018
Sep. 29, 2017
Sep. 30, 2016
Income Tax Disclosure [Abstract]      
United States $ 712.2 $ 681.2 $ 697.5
Foreign 619.9 575.8 503.1
Income before income taxes $ 1,332.1 $ 1,257.0 $ 1,200.6