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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 9 Months Ended
Jun. 28, 2024
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 4,615,986
Acquisitions 21,697
Translation 3,562
Balance at the end of the period 4,641,245
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,164,392
Acquisitions 12,817
Translation (21)
Balance at the end of the period 4,177,188
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 451,594
Acquisitions 8,880
Translation 3,583
Balance at the end of the period $ 464,057