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Pension and Other Postretirement Benefit Plans - Schedule of Change in Plans' Combined Net Benefit Obligation (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 28, 2018
Sep. 29, 2017
Sep. 30, 2016
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Net benefit obligation at the beginning of the year $ 169,942 $ 185,664  
Service cost 4,765 1,000 $ 9,875
Interest cost 13,778 5,757 16,746
Participants’ contributions 839 0  
Actuarial (gains)/losses (30,730) (9,922)  
Benefits paid (27,914) (14,338)  
Curtailments/settlements/plan amendments (9,434) 0  
Acquisition of CH2M Plans 327,156 0  
Effect of exchange rate changes and other, net 0 1,781  
Net benefit obligation at the end of the year 448,402 169,942 185,664
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Net benefit obligation at the beginning of the year 1,306,807 1,363,782  
Service cost 8,269 7,509 14,378
Interest cost 49,324 31,205 38,892
Participants’ contributions 451 250  
Actuarial (gains)/losses (43,595) (142,273)  
Benefits paid (75,711) (40,208)  
Curtailments/settlements/plan amendments (6,136) (1,375)  
Acquisition of CH2M Plans 924,233 0  
Effect of exchange rate changes and other, net (14,396) 87,917  
Net benefit obligation at the end of the year $ 2,149,246 $ 1,306,807 $ 1,363,782