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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands	3 Months Ended	6 Months Ended
	Mar. 31, 2023 USD ($) country	Mar. 31, 2023 USD ($) segment country	Apr. 01, 2022 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	$ 302,692	$ 302,692		$ 329,452
Impairment charges		35,479	$ 0
Equity method investment, aggregate cost	242,800	242,800		224,500
Equity securities without readily determinable fair value, amount	180,500	180,500		180,500
Cost of services provided | FSS United States and Uniform
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	3,300	26,700
Cost of services provided | FSS United States | Right Of Use Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	700	8,600
Cost of services provided | FSS United States | Leasehold Improvements
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	0	10,400
Cost of services provided | Uniform | Right Of Use Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	2,300	7,100
Cost of services provided | Uniform | Other Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Impairment charges	300	600
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	11,600	11,600		23,100
Captive | Prepaid Expenses and Other Current Assets
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Investment at cost	$ 109,100	$ 109,100		$ 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	18

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