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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 3 Months Ended
Dec. 30, 2022
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,515,124
Acquisitions 13,903
Translation 24,992
Balance at the end of the period 5,554,019
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,150,266
Acquisitions 13,583
Translation 26
Balance at the end of the period 4,163,875
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 401,483
Acquisitions 320
Translation 24,782
Balance at the end of the period 426,585
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 963,375
Acquisitions 0
Translation 184
Balance at the end of the period $ 963,559