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Revenue and Contract Balances - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 29, 2024
Dec. 31, 2023
Disaggregation of Revenue [Line Items]    
Revenue $ 1,420,561 $ 1,228,267
Fixed-price    
Disaggregation of Revenue [Line Items]    
Revenue 519,822 471,442
Time-and-materials    
Disaggregation of Revenue [Line Items]    
Revenue 598,948 549,651
Cost-plus    
Disaggregation of Revenue [Line Items]    
Revenue 301,791 207,174
U.S. federal government    
Disaggregation of Revenue [Line Items]    
Revenue 501,848 382,076
U.S. state and local government    
Disaggregation of Revenue [Line Items]    
Revenue 202,987 150,925
U.S. commercial    
Disaggregation of Revenue [Line Items]    
Revenue 233,591 222,430
International    
Disaggregation of Revenue [Line Items]    
Revenue $ 482,135 $ 472,836