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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 12 Months Ended
Sep. 30, 2022
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Segment Reporting Information [Line Items]        
Total Segment Operating Profit   $ 917,850 $ 688,089 $ 535,973
Restructuring, Transaction and Other Charges   (197,884) (350,394) (327,413)
Total Other (Expense) Income, net   (41,503) 7,513 (94,770)
Earnings from Continuing Operations Before Taxes   876,347 695,602 441,203
Gain (loss) on litigation settlement   19,500    
Loss related to litigation settlement   (19,500)    
Intangibles amortization   198,600 149,800 90,600
Recorded third-party environmental recoveries receivable $ 27,000 27,000    
Impairment of real estate   71,000 2,400 161,400
Cost incurred in investment     297,800  
Gain related to cost-method Investments   13,900    
Gain on termination of lease   8,700    
Impairment of equity method investment       (162,000)
JKC Australia L N G Pty Limited | Settled Litigation        
Segment Reporting Information [Line Items]        
Gain (loss) on litigation settlement   (91,300)    
Loss related to litigation settlement   91,300    
AWE ML        
Segment Reporting Information [Line Items]        
Gain on termination of lease   8,700    
Impairment of equity method investment     (38,500)  
C3.ai. Inc.        
Segment Reporting Information [Line Items]        
Fair value adjustments     (49,600)  
ECR Business        
Segment Reporting Information [Line Items]        
Fair value adjustments     34,700 (74,300)
CH2M HILL Companies, Ltd.        
Segment Reporting Information [Line Items]        
Impairment of real estate $ 78,300   2,400 161,400
Gain on termination of lease   (8,700)    
Impairment of equity method investment   (91,300)    
Operating Segments        
Segment Reporting Information [Line Items]        
Total Segment Operating Profit   1,480,174 1,378,612 1,112,777
Corporate Non Segment        
Segment Reporting Information [Line Items]        
Other Corporate Expenses   (364,440) (340,129) (249,391)
Critical Mission Solutions | Operating Segments        
Segment Reporting Information [Line Items]        
Total Segment Operating Profit   424,385 447,161 372,070
People & Places Solutions | Operating Segments        
Segment Reporting Information [Line Items]        
Total Segment Operating Profit   823,564 780,380 740,707
PA Consulting | Operating Segments        
Segment Reporting Information [Line Items]        
Total Segment Operating Profit   $ 232,225 $ 151,071 $ 0