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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Other Assets - Footnotes (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 27, 2019
Sep. 28, 2018
Sep. 29, 2017
Schedule of Investments [Line Items]      
Amortization of capital investments related to client contracts   $ 183,600 $ 159,600
Miscellaneous investments $ 264,452 239,547  
AIM Services Co., Ltd      
Schedule of Investments [Line Items]      
Miscellaneous investments $ 180,500 $ 155,100  
Personalized Work Apparel, Linens, and Rental Items | Minimum      
Schedule of Investments [Line Items]      
Estimated useful lives 1 year    
Personalized Work Apparel, Linens, and Rental Items | Maximum      
Schedule of Investments [Line Items]      
Estimated useful lives 4 years    
Building and Building Improvements | Minimum      
Schedule of Investments [Line Items]      
Estimated useful lives 10 years    
Building and Building Improvements | Maximum      
Schedule of Investments [Line Items]      
Estimated useful lives 40 years    
Service Equipment and Fixtures | Minimum      
Schedule of Investments [Line Items]      
Estimated useful lives 3 years    
Service Equipment and Fixtures | Maximum      
Schedule of Investments [Line Items]      
Estimated useful lives 10 years    
Cost of services provided      
Schedule of Investments [Line Items]      
Asset Impairment Charges $ 7,000