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Pension and Other Postretirement Benefit Plans - Schedule of Change in Plans' Combined Net Benefit Obligation (Details) - Pension Plan - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
U.S. Plans      
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]      
Net benefit obligation at the beginning of the year $ 404,820 $ 437,920  
Service cost 236 456 $ 409
Interest cost 10,350 10,221 12,673
Participants’ contributions 0 0  
Actuarial gains (1) (85,067) (11,808)  
Benefits paid (25,565) (25,582)  
Curtailments/settlements/plan amendments (5,271) (6,387)  
Acquisition of PA Consulting Plans, net of post-deal transfers 0 0  
Effect of exchange rate changes and other, net 0 0  
Net benefit obligation at the end of the year 299,503 404,820 437,920
Non-U.S. Plans      
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]      
Net benefit obligation at the beginning of the year 2,375,640 2,388,077  
Service cost 6,480 6,568 5,710
Interest cost 42,328 38,907 39,469
Participants’ contributions 249 212  
Actuarial gains (1) (651,798) (140,670)  
Benefits paid (74,378) (74,477)  
Curtailments/settlements/plan amendments (2,641) (13,932)  
Acquisition of PA Consulting Plans, net of post-deal transfers 0 66,065  
Effect of exchange rate changes and other, net (330,414) 104,890  
Net benefit obligation at the end of the year $ 1,365,466 $ 2,375,640 $ 2,388,077