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Segment Information - Schedule of Total Revenues, Segment Operating Profit and Total Asset for Reporting Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Apr. 01, 2022
Apr. 02, 2021
Apr. 01, 2022
Apr. 02, 2021
Segment Reporting Information [Line Items]        
Revenues $ 3,834,059 $ 3,547,873 $ 7,214,684 $ 6,929,708
Total Segment Operating Profit 166,215 (41,112) 343,548 172,826
Restructuring, Transaction and Other Charges (117,270) (321,665) (200,836) (343,756)
Total Other (Expense) Income, net (10,933) (71,169) (19,177) 69,002
Earnings (Loss) from Continuing Operations Before Taxes 155,282 (112,281) 324,371 241,828
Amortization of intangible assets     95,338  
Impairment of long-lived assets and equity method investment     74,585 33,197
JKC Australia LNG Pty Limited | Settled Litigation        
Segment Reporting Information [Line Items]        
Loss related to settlement 91,300   91,300  
Worley        
Segment Reporting Information [Line Items]        
Gain (loss) on investments   29,700   (63,500)
C3        
Segment Reporting Information [Line Items]        
Gain (loss) on investments   34,100   (48,600)
AWE Management Ltd        
Segment Reporting Information [Line Items]        
Impairment of long-lived assets and equity method investment   33,200   33,200
Gain on termination of lease     7,100  
Gain (loss) on investments     3,500  
Operating Segments        
Segment Reporting Information [Line Items]        
Total Segment Operating Profit 372,717 343,880 738,976 650,249
Corporate        
Segment Reporting Information [Line Items]        
Other Corporate Expenses (89,232) (63,327) (194,592) (133,667)
Corporate | Other Expense        
Segment Reporting Information [Line Items]        
Amortization of intangible assets 48,400 30,600 95,300 53,800
Critical Mission Solutions | Operating Segments        
Segment Reporting Information [Line Items]        
Revenues 1,366,313 1,309,573 2,528,818 2,604,860
Total Segment Operating Profit 113,241 113,933 224,737 224,002
People & Places Solutions | Operating Segments        
Segment Reporting Information [Line Items]        
Revenues 2,170,356 2,139,990 4,098,502 4,226,538
Total Segment Operating Profit 191,144 202,030 382,837 398,330
PA Consulting        
Segment Reporting Information [Line Items]        
One time charges   296,100   300,200
PA Consulting | Operating Segments        
Segment Reporting Information [Line Items]        
Revenues 297,390 98,310 587,364 98,310
Total Segment Operating Profit $ 68,332 $ 27,917 $ 131,402 $ 27,917