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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
6 Months Ended
Apr. 01, 2022
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,487,297
Acquisitions 26,055
Translation (8,414)
Balance at the end of the period 5,504,938
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,087,936
Acquisitions 983
Translation 14
Balance at the end of the period 4,088,933
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 434,465
Acquisitions 25,072
Translation (8,527)
Balance at the end of the period 451,010
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 964,896
Acquisitions 0
Translation 99
Balance at the end of the period $ 964,995