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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Jan. 02, 2022
Oct. 03, 2021
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2022 (excluding the quarter ended January 2, 2022) $ 146.1  
2023 21.0  
2024 20.4  
2025 14.4  
2026 1.4  
Thereafter 2.4  
Total estimated future amortization expense $ 205.7 $ 253.5