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Goodwill and Intangibles - Schedule of Carrying Value of Goodwill by Reportable Segment Appearing in Accompanying Consolidated Balance Sheets (Details)
$ in Thousands
 6 Months Ended
Apr. 01, 2022
USD ($)
Goodwill [Roll Forward]  
Balance at the beginning of the period $ 7,197,000
Acquired 347,155
Foreign currency translation (58,123)
Post-Acquisition Adjustments 5,983
Balance at the end of the period 7,492,015
Critical Mission Solutions  
Goodwill [Roll Forward]  
Balance at the beginning of the period 2,550,631
Acquired 199,587
Foreign currency translation (3,477)
Post-Acquisition Adjustments 0
Balance at the end of the period 2,746,741
People & Places Solutions  
Goodwill [Roll Forward]  
Balance at the beginning of the period 3,240,783
Acquired 147,568
Foreign currency translation (7,165)
Post-Acquisition Adjustments 0
Balance at the end of the period 3,381,186
PA Consulting  
Goodwill [Roll Forward]  
Balance at the beginning of the period 1,405,586
Acquired 0
Foreign currency translation (47,481)
Post-Acquisition Adjustments 5,983
Balance at the end of the period $ 1,364,088