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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
6 Months Ended
Mar. 29, 2024
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 4,615,986
Acquisitions 13,603
Translation 5,861
Balance at the end of the period 4,635,450
FSS - United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,164,392
Acquisitions 12,159
Translation 4
Balance at the end of the period 4,176,555
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 451,594
Acquisitions 1,444
Translation 5,857
Balance at the end of the period $ 458,895