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Segment Information - Schedule of Total Services Revenues for Reportable Segment (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Sep. 27, 2019
Segment Reporting Information [Line Items]      
Revenues $ 14,092,632 $ 13,566,975 $ 12,737,868
Critical Mission Solutions      
Segment Reporting Information [Line Items]      
Revenues 5,087,052 4,965,952 4,551,162
People & Places Solutions      
Segment Reporting Information [Line Items]      
Revenues 8,378,179 8,601,023 8,186,706
PA Consulting      
Segment Reporting Information [Line Items]      
Revenues $ 627,401 $ 0 $ 0