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Segment Information - Schedule of Total Services Revenues for Reportable Segment (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 30, 2018
Mar. 31, 2017
Mar. 30, 2018
Mar. 31, 2017
Segment Reporting Information [Line Items]        
Revenues $ 3,935,028 $ 2,302,567 $ 6,685,338 $ 4,854,171
Technical Professional Services        
Segment Reporting Information [Line Items]        
Revenues 2,444,823 1,355,776 4,054,916 2,620,713
Project Services        
Segment Reporting Information [Line Items]        
Revenues 1,928,550 1,161,327 3,287,570 2,219,518
Process, Scientific, and Systems Consulting        
Segment Reporting Information [Line Items]        
Revenues 516,273 194,449 767,346 401,195
Field Services        
Segment Reporting Information [Line Items]        
Revenues 1,490,205 946,791 2,630,422 2,233,458
Construction        
Segment Reporting Information [Line Items]        
Revenues 984,897 722,469 1,858,466 1,669,416
Operations and Maintenance ("O&M")        
Segment Reporting Information [Line Items]        
Revenues 505,308 224,322 771,956 564,042
Aerospace, Technology, Environmental and Nuclear        
Segment Reporting Information [Line Items]        
Revenues 1,105,673 602,043 1,851,594 1,205,228
Aerospace, Technology, Environmental and Nuclear | Technical Professional Services        
Segment Reporting Information [Line Items]        
Revenues 821,166 399,953 1,324,690 771,634
Aerospace, Technology, Environmental and Nuclear | Project Services        
Segment Reporting Information [Line Items]        
Revenues 313,937 215,009 573,332 386,861
Aerospace, Technology, Environmental and Nuclear | Process, Scientific, and Systems Consulting        
Segment Reporting Information [Line Items]        
Revenues 507,229 184,944 751,358 384,773
Aerospace, Technology, Environmental and Nuclear | Field Services        
Segment Reporting Information [Line Items]        
Revenues 284,507 202,090 526,904 433,594
Aerospace, Technology, Environmental and Nuclear | Construction        
Segment Reporting Information [Line Items]        
Revenues 79,473 65,648 223,113 172,210
Aerospace, Technology, Environmental and Nuclear | Operations and Maintenance ("O&M")        
Segment Reporting Information [Line Items]        
Revenues 205,034 136,442 303,791 261,384
Buildings, Infrastructure and Advanced Facilities        
Segment Reporting Information [Line Items]        
Revenues 1,758,412 897,829 2,790,177 1,836,723
Buildings, Infrastructure and Advanced Facilities | Technical Professional Services        
Segment Reporting Information [Line Items]        
Revenues 1,359,973 641,316 2,156,033 1,294,280
Buildings, Infrastructure and Advanced Facilities | Project Services        
Segment Reporting Information [Line Items]        
Revenues 1,356,998 636,698 2,151,562 1,287,949
Buildings, Infrastructure and Advanced Facilities | Process, Scientific, and Systems Consulting        
Segment Reporting Information [Line Items]        
Revenues 2,975 4,618 4,471 6,331
Buildings, Infrastructure and Advanced Facilities | Field Services        
Segment Reporting Information [Line Items]        
Revenues 398,439 256,513 634,144 542,443
Buildings, Infrastructure and Advanced Facilities | Construction        
Segment Reporting Information [Line Items]        
Revenues 397,487 254,216 632,609 535,397
Buildings, Infrastructure and Advanced Facilities | Operations and Maintenance ("O&M")        
Segment Reporting Information [Line Items]        
Revenues 952 2,297 1,535 7,046
Energy, Chemicals and Resources        
Segment Reporting Information [Line Items]        
Revenues 1,070,943 802,695 2,043,567 1,812,220
Energy, Chemicals and Resources | Technical Professional Services        
Segment Reporting Information [Line Items]        
Revenues 263,684 314,507 574,193 554,799
Energy, Chemicals and Resources | Project Services        
Segment Reporting Information [Line Items]        
Revenues 257,615 309,620 562,676 544,708
Energy, Chemicals and Resources | Process, Scientific, and Systems Consulting        
Segment Reporting Information [Line Items]        
Revenues 6,069 4,887 11,517 10,091
Energy, Chemicals and Resources | Field Services        
Segment Reporting Information [Line Items]        
Revenues 807,259 488,188 1,469,374 1,257,421
Energy, Chemicals and Resources | Construction        
Segment Reporting Information [Line Items]        
Revenues 507,937 402,605 1,002,744 961,809
Energy, Chemicals and Resources | Operations and Maintenance ("O&M")        
Segment Reporting Information [Line Items]        
Revenues $ 299,322 $ 85,583 $ 466,630 $ 295,612