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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
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
U.S. Plans      
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]      
Net benefit obligation at the beginning of the year $ 437,920 $ 448,540  
Service cost 456 409 $ 2,784
Interest cost 10,221 12,673 16,697
Participants’ contributions 0 0  
Actuarial (gains)/losses (1) (11,808) 15,584  
Benefits paid (25,582) (22,836)  
Curtailments/settlements/plan amendments (6,387) (16,450)  
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 404,820 437,920 448,540
Non-U.S. Plans      
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]      
Net benefit obligation at the beginning of the year 2,388,077 2,258,129  
Service cost 6,568 5,710 7,171
Interest cost 38,907 39,469 52,627
Participants’ contributions 212 167  
Actuarial (gains)/losses (1) (140,670) 35,626  
Benefits paid (74,477) (64,395)  
Curtailments/settlements/plan amendments (13,932) (4,782)  
Acquisition of PA Consulting Plans, net of post-deal transfers 66,065 0  
Effect of exchange rate changes and other, net 104,890 118,153  
Net benefit obligation at the end of the year $ 2,375,640 $ 2,388,077 $ 2,258,129