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Segment Information - Schedule of Total Services Revenues for Reportable Segment (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Oct. 02, 2020
Jun. 26, 2020
Mar. 27, 2020
Dec. 27, 2019
Sep. 27, 2019
Jun. 28, 2019
Mar. 29, 2019
Dec. 28, 2018
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Segment Reporting Information [Line Items]                      
Revenues $ 3,519,689 $ 3,260,057 $ 3,427,180 $ 3,360,049 $ 3,392,862 $ 3,169,622 $ 3,091,596 $ 3,083,788 $ 13,566,975 $ 12,737,868 $ 10,579,773
Operating Segments | Critical Mission Solutions                      
Segment Reporting Information [Line Items]                      
Revenues                 4,965,952 4,551,162 3,725,365
Operating Segments | People & Places Solutions                      
Segment Reporting Information [Line Items]                      
Revenues                 $ 8,601,023 $ 8,186,706 $ 6,854,408