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Goodwill And Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 12 Months Ended
Sep. 27, 2024
USD ($)
Goodwill [Roll Forward]  
Balance at the beginning of the period $ 4,615,986
Acquisitions 41,618
Translation & Other 19,597
Balance at the end of the period 4,677,201
FSS United States  
Goodwill [Roll Forward]  
Balance at the beginning of the period 4,164,392
Acquisitions 20,128
Translation & Other 27
Balance at the end of the period 4,184,547
FSS International  
Goodwill [Roll Forward]  
Balance at the beginning of the period 451,594
Acquisitions 21,490
Translation & Other 19,570
Balance at the end of the period $ 492,654