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Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Income Tax Disclosure [Abstract]      
Balance, beginning of year $ 113,633 $ 102,484 $ 104,355
Acquisitions 192 7,639  
Divestitures     0
Additions based on tax positions related to the current year 1,136 7,088 1,064
Additions for tax positions of prior years 1,207 1,711 7,472
Reductions for tax positions of prior years (3,672) (4,851) (6,695)
Settlement (23,603) (438) (3,712)
Balance, end of year $ 88,893 $ 113,633 $ 102,484