Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands	3 Months Ended	6 Months Ended
Apr. 02, 2021 USD ($) country	Apr. 02, 2021 USD ($) segment country	Oct. 02, 2020 USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Number of reportable segments \| segment		3
Cash and cash equivalents	$ 1,400,011	$ 1,400,011	$ 2,509,188
Equity securities without readily determinable fair value, amount	42,500	42,500	42,500
Allowance for doubtful accounts receivable, current	78,362	78,362	74,925
Deferred income taxes and other liabilities	1,030,806	1,030,806	1,099,075
Deferred Income Taxes and Other Noncurrent Liabilities \| CARES Act
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Deferred income taxes and other liabilities	128,500	128,500
Cost of services provided
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
CARES Act. COVID-19 labor related credit	2,000	3,100
FSS United States and Uniform \| Cost of services provided
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
CARES Act. COVID-19 labor related credit	39,500	74,000
Uniform \| Cost of services provided
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
CARES Act. COVID-19 labor related credit	4,500	9,200
Captive
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Cash and cash equivalents	$ 142,100	$ 142,100	$ 92,100
Foreign Countries Outside North America
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Number of foreign countries in which entity operates \| country	18	18

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