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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
3 Months Ended
Jan. 01, 2021
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,343,828
Acquisitions 5,221
Translation 20,249
Balance at the end of the period 5,369,298
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 3,953,332
Acquisitions 5,194
Translation 51
Balance at the end of the period 3,958,577
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 426,118
Acquisitions 0
Translation 19,769
Balance at the end of the period 445,887
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 964,378
Acquisitions 27
Translation 429
Balance at the end of the period $ 964,834