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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
 3 Months Ended
Dec. 30, 2022
USD ($)
Goodwill [Roll Forward]  
Balance at the beginning of the period $ 7,184,658
Acquired 16,425
Post-Acquisition Adjustments 1,271
Foreign currency translation and other 138,728
Balance at the end of the period 7,341,082
Critical Mission Solutions  
Goodwill [Roll Forward]  
Balance at the beginning of the period 2,251,724
Acquired 0
Post-Acquisition Adjustments 0
Foreign currency translation and other 10,460
Balance at the end of the period 2,262,184
People & Places Solutions  
Goodwill [Roll Forward]  
Balance at the beginning of the period 3,196,796
Acquired 0
Post-Acquisition Adjustments (138)
Foreign currency translation and other 13,168
Balance at the end of the period 3,209,826
Divergent Solutions  
Goodwill [Roll Forward]  
Balance at the beginning of the period 576,986
Acquired 0
Post-Acquisition Adjustments 0
Foreign currency translation and other 2,680
Balance at the end of the period 579,666
PA Consulting  
Goodwill [Roll Forward]  
Balance at the beginning of the period 1,159,152
Acquired 16,425
Post-Acquisition Adjustments 1,409
Foreign currency translation and other 112,420
Balance at the end of the period $ 1,289,406