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Goodwill And Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 12 Months Ended
Oct. 03, 2025
USD ($)
Goodwill [Roll Forward]  
Balance at the beginning of the period $ 4,677,201
Acquisitions 182,201
Translation & Other 15,268
Balance at the end of the period 4,874,670
FSS United States  
Goodwill [Roll Forward]  
Balance at the beginning of the period 4,184,547
Acquisitions 36,568
Translation & Other (89)
Balance at the end of the period 4,221,026
FSS International  
Goodwill [Roll Forward]  
Balance at the beginning of the period 492,654
Acquisitions 145,633
Translation & Other 15,357
Balance at the end of the period $ 653,644