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Other Intangible Assets and Goodwill (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Finite-Lived Intangible Assets [Line Items]      
Amortization of Intangible Assets $ 223.4 $ 223.7 $ 232.8
Trade Names, trademarks and patents [Member]      
Intangible Assets [Line Items]      
Restructuring Costs and Asset Impairment Charges   $ 22.1