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Employee Pension and Profit Sharing Plans - Schedule of Defined Benefit Plans Disclosures (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Change in plan assets:      
Fair value of plan assets, beginning $ 161,504 $ 239,013  
Foreign currency translation 10,991 (29,381)  
Employer contributions 1,184 5,710  
Employee contributions 47 88  
Actual return on plan assets (7,021) (30,650)  
Benefits paid (8,895) (23,276)  
Fair value of plan assets, end 157,810 161,504 $ 239,013
Change in benefit obligation:      
Benefit obligation, beginning 122,628 220,950  
Foreign currency translation 7,492 (22,871)  
Service cost 840 1,045 1,327
Interest cost 6,521 3,887 4,736
Employee contributions 47 88  
Actuarial gain (8,162) (57,195)  
Benefits paid (8,895) (23,276)  
Benefit obligation, ending 120,471 122,628 $ 220,950
Funded Status at end of year $ 37,339 $ 38,876