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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
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Schedule of Investments [Line Items]      
Amortization of capital investments related to client contracts     $ 183,600
Equity Securities without readily determinable fair value, amount $ 42,500 $ 42,600  
Goodwill impairment and asset write-downs 283,743 0 $ 0
AIM Services Co., Ltd      
Schedule of Investments [Line Items]      
Equity Securities without readily determinable fair value, amount $ 182,900 180,500  
Minimum | Computer Software      
Schedule of Investments [Line Items]      
Intangible asset, useful life 3 years    
Maximum | Computer Software      
Schedule of Investments [Line Items]      
Intangible asset, useful life 10 years    
Information Technology Assets | Food and Support Services - United States      
Schedule of Investments [Line Items]      
Goodwill impairment and asset write-downs $ 26,100    
Cost of services provided      
Schedule of Investments [Line Items]      
Equity Securities without readily determinable fair value, amount   $ 7,000