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Income Taxes (Reconciliation of Unrecognized Tax Benefits) (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
Income Tax Disclosure [Abstract]      
Balance, beginning of year $ 102,484 $ 104,355 $ 179,140
Acquisitions 7,639 0  
Divestitures     (31,004)
Additions based on tax positions related to the current year 7,088 1,064 7,455
Additions for tax positions of prior years 1,711 7,472 1,994
Reductions for tax positions of prior years (4,851) (6,695) (49,849)
Settlement (438) (3,712) (3,381)
Balance, end of year $ 113,633 $ 102,484 $ 104,355