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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands | 3 Months Ended |
--- | --- | ---
Dec. 31, 2021 USD ($) segment country | Jan. 01, 2021 USD ($) | Oct. 01, 2021 USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |
Number of reportable segments | segment | 3 |  |
Cash and cash equivalents | $ 415,467 |  | $ 532,591
Equity method investment, aggregate cost | 279,200 |  | 224,600
Equity securities without readily determinable fair value, amount | 180,500 |  | 180,500
Deferred income taxes and other liabilities | 1,014,155 |  | 1,079,014
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 |  |
Deferred income taxes and other liabilities | 64,200 |  |
Uniform | Cost of services provided |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |
CARES Act. COVID-19 labor related credit |  | $ 4,700 |
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 | 12,200 | $ 35,100 |
Captive |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |
Cash and cash equivalents | $ 178,900 |  | $ 194,300
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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