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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 30, 2018
Dec. 31, 2017
Disaggregation of Revenue [Line Items]    
Revenue $ 717,431 $ 759,749
U.S. state and local government    
Disaggregation of Revenue [Line Items]    
Revenue 123,280 151,754
U.S. federal government    
Disaggregation of Revenue [Line Items]    
Revenue 224,757 236,249
U.S. commercial    
Disaggregation of Revenue [Line Items]    
Revenue 172,788 206,786
International    
Disaggregation of Revenue [Line Items]    
Revenue 196,606 $ 164,960
GSG    
Disaggregation of Revenue [Line Items]    
Revenue 717,431  
GSG | Fixed-price    
Disaggregation of Revenue [Line Items]    
Revenue 240,933  
GSG | Time-and-materials    
Disaggregation of Revenue [Line Items]    
Revenue 336,537  
GSG | Cost-plus    
Disaggregation of Revenue [Line Items]    
Revenue 139,961  
CIG    
Disaggregation of Revenue [Line Items]    
Revenue 759,749  
CIG | Fixed-price    
Disaggregation of Revenue [Line Items]    
Revenue 235,420  
CIG | Time-and-materials    
Disaggregation of Revenue [Line Items]    
Revenue 376,773  
CIG | Cost-plus    
Disaggregation of Revenue [Line Items]    
Revenue $ 147,556