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Defined Benefit Plans - Schedule of Net Benefit Costs (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Retirement Benefits [Abstract]      
Service cost $ 2,003 $ 2,153 $ 1,955
Interest cost 936 857 1,308
Expected return on plan assets (620) (682) (817)
Recognized net actuarial (gain) loss (292) (690) 470
Foreign exchange impacts (82) 66 (79)
Net periodic pension cost $ 1,945 $ 1,704 $ 2,837