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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details) $ in Thousands |  |  |  | 2 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Sep. 22, 2023 USD ($) | May 16, 2023 USD ($) | Apr. 06, 2023 USD ($) | Nov. 21, 2023 USD ($) | Sep. 29, 2023 USD ($) segment country | Sep. 30, 2022 USD ($) | Oct. 01, 2021 USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Number of countries in which entity operates | country |  |  |  |  | 14 |  |
Number of reportable segments | segment |  |  |  |  | 3 |  |
Foreign currency transaction loss |  |  |  |  | $ 10,400 | $ 3,500 | $ 1,800
Cash and cash equivalents |  |  |  |  | 1,963,139 | 329,452 |
Inventory valuation reserves |  |  |  |  | 21,000 | 51,300 |
Inventory write-down |  |  |  |  |  | 19,600 | 25,400
Depreciation |  |  |  |  | 371,700 | 367,100 | 378,300
Asset write-downs |  |  |  |  | 37,563 | 0 | 0
Equity Securities, FV-NI |  |  |  |  | 99,300 | 224,500 |
Pre-tax gain on sale of equity investment | $ 51,800 | $ (1,100) |  |  | 377,100 |  |
Gain on sale of this equity investment |  |  |  |  | 278,700 |  |
Equity Securities without readily determinable fair value, amount |  |  |  |  | 85,100 | 180,500 |
Proceeds from sale of equity investments | $ 51,900 | 98,200 |  |  | 685,048 | 0 | 0
Loss on sale of equity investment, net of tax |  | $ 2,200 |  |  |  |  |
Gain on Equity Investments, net |  |  |  |  | (427,803) | 0 | (137,934)
Deferred income taxes and other liabilities |  |  |  |  | 1,161,805 | 1,106,587 |
Total future minimum lease payments |  |  |  |  | 193,321 |  |
Payments related to tax withholding for share-based compensation |  |  |  |  | $ 31,300 | 17,800 | 24,500
AIM Services Co., Ltd | AIM Services Co., Ltd |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Ownership percentage |  |  | 50.00% |  | 50.00% |  |
Proceeds from sale of equity method investments |  |  | $ 535,000 |  |  |  |
Captive |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Cash and cash equivalents |  |  |  |  | $ 32,800 | 23,100 |
Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
CARES Act. COVID-19 labor related credits |  |  |  |  |  |  | 15,100
Property and Equipment and Long-term Borrowings |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Total future minimum lease payments |  |  |  |  | 47,500 | 35,800 | $ 36,000
Prepaid expenses and other current assets | Captive |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Investment at cost |  |  |  |  | 110,700 | 78,200 |
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 |  |
Accounts Receivable | CARES Act Receivables | Government |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
CARES act. receivables |  |  |  |  | 20,400 |  |
FSS United States and Uniform | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Asset write-downs |  |  |  |  | 26,700 |  |
CARES Act. COVID-19 labor related credits |  |  |  |  | 37,000 | 155,300 |
Uniform |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Restructuring charges |  |  |  |  | 51,100 | 9,300 |
Uniform | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
CARES Act. COVID-19 labor related credits |  |  |  |  | 400 | $ 17,900 |
Uniform | Subsequent Event |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Restructuring charges |  |  |  | $ 20,000 |  |  |
Right of Use Assets | FSS United States | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Asset write-downs |  |  |  |  | 8,600 |  |
Right of Use Assets | Uniform | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Asset write-downs |  |  |  |  | 7,100 |  |
Leasehold Improvements | FSS United States | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Asset write-downs |  |  |  |  | $ 10,400 |  |
Building and Building Improvements | Minimum |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Property, plant and equipment, estimated useful lives |  |  |  |  | 10 years |  |
Building and Building Improvements | Maximum |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Property, plant and equipment, estimated useful lives |  |  |  |  | 40 years |  |
Service Equipment and Fixtures | Minimum |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Property, plant and equipment, estimated useful lives |  |  |  |  | 3 years |  |
Service Equipment and Fixtures | Maximum |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Property, plant and equipment, estimated useful lives |  |  |  |  | 20 years |  |
Other Assets | Uniform | Cost of services provided (exclusive of depreciation and amortization) |  |  |  |  |  |  |
Basis of Presentation and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Asset write-downs |  |  |  |  | $ 600 |  |

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