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Income Taxes (Income before Income Taxes) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Income Tax Disclosure [Abstract]      
United States $ 435.9 $ 427.2 $ 712.2
Foreign 455.8 533.8 619.9
Income before income taxes $ 891.7 $ 961.0 $ 1,332.1