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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
6 Months Ended
Apr. 02, 2021
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,343,828
Acquisitions 6,947
Translation 14,792
Balance at the end of the period 5,365,567
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 3,953,332
Acquisitions 6,920
Translation 65
Balance at the end of the period 3,960,317
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 426,118
Acquisitions 0
Translation 14,181
Balance at the end of the period 440,299
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 964,378
Acquisitions 27
Translation 546
Balance at the end of the period $ 964,951