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Goodwill and Other Intangible Assets - Schedule of Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 28, 2025
Sep. 29, 2024
Goodwill and Intangible Assets Disclosure [Abstract]    
Goodwill, gross amount $ 1,616,769 $ 1,618,233
Accumulated impairment losses (1,288,729) (1,288,729)
Goodwill [Roll Forward]    
Goodwill, beginning of year 328,040 329,504
Disposal (4,182) (1,464)
Goodwill, end of year $ 323,858 $ 328,040