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Goodwill and Other Intangible Assets - Schedule of Goodwill Assets by Segment (Details)
$ in Thousands
 6 Months Ended
Mar. 31, 2023
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of the period $ 5,515,124
Acquisitions 36,389
Translation 30,476
Balance at the end of the period 5,581,989
FSS United States  
Goodwill [Roll Forward]  
Balance at beginning of the period 4,150,266
Acquisitions 13,767
Translation 20
Balance at the end of the period 4,164,053
FSS International  
Goodwill [Roll Forward]  
Balance at beginning of the period 401,483
Acquisitions 22,622
Translation 30,246
Balance at the end of the period 454,351
Uniform  
Goodwill [Roll Forward]  
Balance at beginning of the period 963,375
Acquisitions 0
Translation 210
Balance at the end of the period $ 963,585