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Income Taxes (Reconciliation of Unrecognized Tax Benefits) (Details) - USD ($) $ in Thousands | 12 Months Ended
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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

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