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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Jun. 28, 2020
Sep. 29, 2019
Goodwill and Intangible Assets Disclosure [Abstract]    
Finite-Lived Intangible Assets, Amortization Expense, Remainder of Fiscal Year $ 58.2  
Finite-Lived Intangible Assets, Amortization Expense, Year Two 213.3  
Finite-Lived Intangible Assets, Amortization Expense, Year Three 177.8  
Finite-Lived Intangible Assets, Amortization Expense, Year Four 19.5  
Finite-Lived Intangible Assets, Amortization Expense, Year Five 18.9  
Finite-Lived Intangible Assets, Amortization Expense, after Year Five 15.3  
Finite-Lived Intangible Assets, Net $ 503.0 $ 578.4