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Acquisitions - Changes in the Carrying Value of Estimated Contingent Earn-Out Liabilities (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2022
Oct. 03, 2021
Sep. 27, 2020
Earn-out payments:      
Reported as cash used in financing activities $ (20,124) $ (20,251) $ (22,900)
Contingent consideration      
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning balance 59,297 32,617 52,992
Acquisition date fair value of contingent earn-out liabilities 31,341 50,235 16,581
Foreign exchange impact (7,152) (596) (247)
Earn-out payments:      
Reported as cash used in operating activities (310) (427) 0
Reported as cash used in financing activities (20,123) (20,251) (22,900)
Ending balance $ 65,566 $ 59,297 $ 32,617
Fair Value, Liability, Recurring Basis, Unobservable Input Reconciliation, Liability, Gain (Loss), Statement of Other Comprehensive Income or Comprehensive Income [Extensible Enumeration] Gain (loss) on cash flow hedge valuations, net of tax Gain (loss) on cash flow hedge valuations, net of tax Gain (loss) on cash flow hedge valuations, net of tax
Interest expense | Contingent consideration      
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Earnings adjustment to contingent earn-out liabilities $ 2,184 $ 992 $ 1,162
Operating income | Contingent consideration      
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Earnings adjustment to contingent earn-out liabilities $ 329 $ (3,273) $ (14,971)