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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
Mar. 28, 2025
USD ($)
Goodwill [Roll Forward]  
Balance at the beginning of the period $ 4,788,181
Foreign currency translation adjustments and other (61,262)
Balance at the end of the period 4,726,919
Infrastructure & Advanced Facilities  
Goodwill [Roll Forward]  
Balance at the beginning of the period 3,362,760
Foreign currency translation adjustments and other (15,719)
Balance at the end of the period 3,347,041
PA Consulting  
Goodwill [Roll Forward]  
Balance at the beginning of the period 1,425,421
Foreign currency translation adjustments and other (45,543)
Balance at the end of the period $ 1,379,878