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Pension and Other Post Retirement Benefit Plans - Schedule of Components of Net Periodic Pension Cost (Details) - Pension Plan - USD ($)
$ in Thousands
 12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Service cost $ 119 $ 140 $ 236
Interest cost 15,574 15,629 10,350
Expected return on plan assets (19,058) (19,496) (16,933)
Actuarial (gains) losses (1,384) (1,770) 2,861
Prior service cost 431 430 430
Net pension cost (income), before special items (4,318) (5,067) (3,056)
Curtailment expense/Settlement gains 0 0 (206)
Total net periodic pension cost (income) recognized (4,318) (5,067) (3,262)
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Service cost 8,922 6,926 6,480
Interest cost 71,270 74,077 42,328
Expected return on plan assets (76,510) (73,387) (71,875)
Actuarial (gains) losses 7,320 6,317 7,147
Prior service cost 1,501 1,424 1,421
Net pension cost (income), before special items 12,503 15,357 (14,499)
Curtailment expense/Settlement gains 258 208 329
Total net periodic pension cost (income) recognized $ 12,761 $ 15,565 $ (14,170)