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Revenue and Contract Balances - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 29, 2019
Dec. 30, 2018
Disaggregation of Revenue [Line Items]    
Revenue $ 797,623 $ 717,431
Fixed-price    
Disaggregation of Revenue [Line Items]    
Revenue 271,055 240,933
Time-and-materials    
Disaggregation of Revenue [Line Items]    
Revenue 388,158 336,537
Cost-plus    
Disaggregation of Revenue [Line Items]    
Revenue 138,410 139,961
U.S. state and local government    
Disaggregation of Revenue [Line Items]    
Revenue 122,356 123,280
U.S. federal government    
Disaggregation of Revenue [Line Items]    
Revenue 245,303 224,757
U.S. commercial    
Disaggregation of Revenue [Line Items]    
Revenue 182,971 172,788
International    
Disaggregation of Revenue [Line Items]    
Revenue $ 246,993 $ 196,606