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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Cash Flow, Supplemental Disclosures (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Organization, Consolidation and Presentation of Financial Statements [Abstract]      
Interest paid $ 410.5 $ 333.3 $ 369.7
Income taxes paid (refunded) $ 47.0 $ 16.2 $ (104.9)