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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Other Assets - Footnotes (Details) - USD ($) $ in Thousands | 12 Months Ended
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Oct. 02, 2020 | Sep. 27, 2019 | Sep. 28, 2018
Schedule of Investments [Line Items] |  |  |
Amortization of capital investments related to client contracts |  |  | $ 183,600
Equity Securities without readily determinable fair value, amount | $ 42,500 | $ 42,600 |
Goodwill impairment and asset write-downs | 283,743 | 0 | $ 0
AIM Services Co., Ltd |  |  |
Schedule of Investments [Line Items] |  |  |
Equity Securities without readily determinable fair value, amount | $ 182,900 | 180,500 |
Minimum | Computer Software |  |  |
Schedule of Investments [Line Items] |  |  |
Intangible asset, useful life | 3 years |  |
Maximum | Computer Software |  |  |
Schedule of Investments [Line Items] |  |  |
Intangible asset, useful life | 10 years |  |
Information Technology Assets | Food and Support Services - United States |  |  |
Schedule of Investments [Line Items] |  |  |
Goodwill impairment and asset write-downs | $ 26,100 |  |
Cost of services provided |  |  |
Schedule of Investments [Line Items] |  |  |
Equity Securities without readily determinable fair value, amount |  | $ 7,000 |

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