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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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