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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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