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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details)
$ in Thousands
 3 Months Ended 12 Months Ended
Oct. 02, 2020
USD ($)
country
Oct. 02, 2020
USD ($)
segment
country
Sep. 27, 2019
USD ($)
Sep. 28, 2018
USD ($)
Sep. 28, 2019
USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Number of countries in which entity operates | country 18 18      
Operating Lease Right-of-use Assets (see Note 8) $ 551,394 $ 551,394 $ 0    
Number of reportable segments | segment   3      
Foreign currency transaction loss   $ 2,500 4,900 $ 3,800  
Depreciation   418,300 421,400 270,000  
Goodwill impairment and asset write-downs   283,743 0 0  
Disposals of property and equipment   54,074 17,871 10,491  
Capital lease transactions 29,300 29,300 41,600 34,000  
Present value of lease liabilities 413,477 413,477      
Inventory valuation reserves 36,700 36,700 23,600    
Cash and cash equivalents 2,509,188 2,509,188 246,643    
Deferred income taxes and other liabilities, noncurrent 1,099,075 1,099,075 1,088,822    
Present value of future rental obligations 142,588 142,588 148,754    
Payments related to tax withholding for share-based compensation   92,300 $ 34,300 $ 19,000  
Remaining lease liability related to abandoned leases 11,300 11,300      
CARES Act          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Deferred income taxes and other liabilities, noncurrent 80,800 80,800      
Captive          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Cash and cash equivalents 92,100 92,100      
Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
CARES Act. COVID-19 labor related credits   18,700      
Food and Support Services - United States and International Segments | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Goodwill impairment and asset write-downs 30,600        
Food and Support Services - United States | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on sale of properties by abandonment   28,500      
Food and Support Services International and Uniform and Career Apparel | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
CARES Act. COVID-19 labor related credits   128,100      
Accounting Standards Update 2016-02          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Operating Lease Right-of-use Assets (see Note 8)         $ 558,500
Present value of lease liabilities         416,100
Accounting Standards Update 2016-02 | Prepaid rent          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Operating Lease Right-of-use Assets (see Note 8)         $ 166,900
Property and Equipment | Food and Support Services - United States and International Segments | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Goodwill impairment and asset write-downs 17,800        
Right of Use Assets | Food and Support Services - United States and International Segments | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Goodwill impairment and asset write-downs 11,600        
Right of Use Assets | Food and Support Services - United States | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on sale of properties by abandonment   10,300      
Leasehold Improvements | Food and Support Services - United States | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on sale of properties by abandonment   $ 17,400      
Building and Building Improvements | Minimum          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Property, plant and equipment, estimated useful lives   10 years      
Building and Building Improvements | Maximum          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Property, plant and equipment, estimated useful lives   40 years      
Service Equipment and Fixtures | Minimum          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Property, plant and equipment, estimated useful lives   3 years      
Service Equipment and Fixtures | Maximum          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Property, plant and equipment, estimated useful lives   20 years      
Prepaid rent | Food and Support Services - United States and International Segments | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Goodwill impairment and asset write-downs $ 1,200        
Prepaid rent | Food and Support Services - United States | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on sale of properties by abandonment   $ 800      
TENNESSEE | Tornado | Uniform segment          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Unusual or infrequent item, or both, insurance proceeds   25,000      
Proceeds from insurance settlement, investing activities   21,500      
Proceeds from insurance settlement, operating activities   3,500      
TENNESSEE | Tornado | Uniform segment | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Insured event, gain (loss)   $ 16,300