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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands	3 Months Ended
	Dec. 30, 2022 USD ($) country segment	Dec. 31, 2021 USD ($)	Sep. 30, 2022 USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Number of reportable segments | segment	3
Cash and cash equivalents	$ 305,050		$ 329,452
Impairment charges	23,436	$ 0
Equity method investment, aggregate cost	240,300		224,500
Equity securities without readily determinable fair value, amount	180,500		180,500
FSS United States | Cost of services provided | Right Of Use Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	7,900
FSS United States | Cost of services provided | Leasehold Improvements
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	10,400
Uniform | Cost of services provided | Right Of Use Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	4,800
Uniform | Cost of services provided | Other Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	300
FSS United States and Uniform | Cost of services provided
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	23,400
Deferred Income Taxes and Other Noncurrent Liabilities | CARES Act
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Payment of deferred social security taxes	64,200	$ 64,200
Captive
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Cash and cash equivalents	34,800		23,100
Captive | Prepaid Expenses and Other Current Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Investment at cost	$ 79,100		$ 78,200
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

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