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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Apr. 01, 2022 USD ($) country | Apr. 02, 2021 USD ($) | Apr. 01, 2022 USD ($) country segment | Apr. 02, 2021 USD ($) | 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 | $ 429,306 |  | $ 429,306 |  | $ 532,591
Equity method investment, aggregate cost | 273,300 |  | 273,300 |  | 224,600
Equity securities without readily determinable fair value, amount | 180,500 |  | 180,500 |  | 180,500
Deferred income taxes and other liabilities | 1,022,402 |  | 1,022,402 |  | 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 |  | 64,200 |  |
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 |  | $ 39,500 |  | $ 74,000 |
Uniform | Cost of services provided |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |
CARES Act. COVID-19 labor related credit |  | $ 4,500 |  | $ 9,200 |
FSS International | Cost of services provided |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |
CARES Act. COVID-19 labor related credit | 21,000 |  | 33,200 |  |
Captive |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |
Cash and cash equivalents | $ 137,800 |  | $ 137,800 |  | $ 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 |  | 18 |  |

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