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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 3 Months Ended
Dec. 27, 2024
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 4,677,201
Acquisitions 67,972
Translation (31,548)
Balance at the end of the period 4,713,625
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,184,547
Acquisitions 6,392
Translation (173)
Balance at the end of the period 4,190,766
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 492,654
Acquisitions 61,580
Translation (31,375)
Balance at the end of the period $ 522,859