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Reportable Segments - Revenue by Sector (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Sep. 30, 2018
Jul. 01, 2018
Apr. 01, 2018
Dec. 31, 2017
Oct. 01, 2017
Jul. 02, 2017
Apr. 02, 2017
Jan. 01, 2017
Sep. 30, 2018
Oct. 01, 2017
Oct. 02, 2016
Revenue by client sector                      
Revenue $ 739,343 $ 764,795 $ 700,262 $ 759,749 $ 735,188 $ 685,539 $ 663,781 $ 668,851 $ 2,964,148 $ 2,753,360 $ 2,583,469
U.S. state and local government                      
Revenue by client sector                      
Revenue                 469,231 353,062 310,740
U.S. federal government                      
Revenue by client sector                      
Revenue                 974,384 901,136 784,368
U.S commercial                      
Revenue by client sector                      
Revenue                 788,398 764,643 763,443
International                      
Revenue by client sector                      
Revenue                 $ 732,135 $ 734,519 $ 724,918