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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 9 Months Ended
Jun. 30, 2023
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,515,124
Acquisitions 42,890
Translation 36,326
Balance at the end of the period 5,594,340
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,150,266
Acquisitions 14,120
Translation 60
Balance at the end of the period 4,164,446
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 401,483
Acquisitions 28,770
Translation 35,864
Balance at the end of the period 466,117
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 963,375
Acquisitions 0
Translation 402
Balance at the end of the period $ 963,777