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Segment Information - Schedule of Total Services Revenues for Reportable Segment (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 29, 2017
Dec. 30, 2016
Segment Reporting Information [Line Items]    
Revenues $ 2,750,311 $ 2,551,604
Project Services    
Segment Reporting Information [Line Items]    
Revenues 1,359,021 1,058,191
Process, Scientific, and Systems Consulting    
Segment Reporting Information [Line Items]    
Revenues 251,073 206,746
Technical Professional Services    
Segment Reporting Information [Line Items]    
Revenues 1,610,094 1,264,937
Construction    
Segment Reporting Information [Line Items]    
Revenues 873,569 946,947
Operations and Maintenance ("O&M")    
Segment Reporting Information [Line Items]    
Revenues 266,648 339,720
Field Services    
Segment Reporting Information [Line Items]    
Revenues 1,140,217 1,286,667
Aerospace & Technology    
Segment Reporting Information [Line Items]    
Revenues 721,567 577,436
Aerospace & Technology | Project Services    
Segment Reporting Information [Line Items]    
Revenues 274,945 176,464
Aerospace & Technology | Process, Scientific, and Systems Consulting    
Segment Reporting Information [Line Items]    
Revenues 244,128 199,829
Aerospace & Technology | Technical Professional Services    
Segment Reporting Information [Line Items]    
Revenues 519,073 376,293
Aerospace & Technology | Construction    
Segment Reporting Information [Line Items]    
Revenues 121,869 82,787
Aerospace & Technology | Operations and Maintenance ("O&M")    
Segment Reporting Information [Line Items]    
Revenues 80,625 118,356
Aerospace & Technology | Field Services    
Segment Reporting Information [Line Items]    
Revenues 202,494 201,143
Buildings & Infrastructure    
Segment Reporting Information [Line Items]    
Revenues 658,466 580,617
Buildings & Infrastructure | Project Services    
Segment Reporting Information [Line Items]    
Revenues 615,238 509,849
Buildings & Infrastructure | Technical Professional Services    
Segment Reporting Information [Line Items]    
Revenues 615,238 509,849
Buildings & Infrastructure | Construction    
Segment Reporting Information [Line Items]    
Revenues 42,653 66,641
Buildings & Infrastructure | Operations and Maintenance ("O&M")    
Segment Reporting Information [Line Items]    
Revenues 575 4,127
Buildings & Infrastructure | Field Services    
Segment Reporting Information [Line Items]    
Revenues 43,228 70,768
Industrial    
Segment Reporting Information [Line Items]    
Revenues 749,321 751,738
Industrial | Project Services    
Segment Reporting Information [Line Items]    
Revenues 67,672 2,616
Industrial | Technical Professional Services    
Segment Reporting Information [Line Items]    
Revenues 67,672 2,616
Industrial | Construction    
Segment Reporting Information [Line Items]    
Revenues 496,632 535,336
Industrial | Operations and Maintenance ("O&M")    
Segment Reporting Information [Line Items]    
Revenues 185,017 213,786
Industrial | Field Services    
Segment Reporting Information [Line Items]    
Revenues 681,649 749,122
Petroleum & Chemicals    
Segment Reporting Information [Line Items]    
Revenues 620,957 641,813
Petroleum & Chemicals | Project Services    
Segment Reporting Information [Line Items]    
Revenues 401,166 369,262
Petroleum & Chemicals | Process, Scientific, and Systems Consulting    
Segment Reporting Information [Line Items]    
Revenues 6,945 6,917
Petroleum & Chemicals | Technical Professional Services    
Segment Reporting Information [Line Items]    
Revenues 408,111 376,179
Petroleum & Chemicals | Construction    
Segment Reporting Information [Line Items]    
Revenues 212,415 262,183
Petroleum & Chemicals | Operations and Maintenance ("O&M")    
Segment Reporting Information [Line Items]    
Revenues 431 3,451
Petroleum & Chemicals | Field Services    
Segment Reporting Information [Line Items]    
Revenues $ 212,846 $ 265,634