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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Deferred Income Taxes and Other Noncurrent Liabilities (Details) - USD ($) $ in Thousands | Sep. 29, 2023 | Sep. 30, 2022 | Jun. 02, 2022 | Jun. 04, 2021
--- | --- | --- | --- | ---
Loss Contingencies [Line Items] |  |  |  |
Deferred income taxes | $ 610,470 | $ 501,404 |  |
Deferred compensation | 211,892 | 211,703 |  |
Pension-related liabilities | 11,205 | 11,775 |  |
Insurance reserves | 147,641 | 141,104 |  |
Other noncurrent liabilities | 180,597 | 240,601 |  |
Deferred Income Taxes and Other Noncurrent Liabilities | 1,161,805 | 1,106,587 |  |
Union Supply Group, Inc |  |  |  |
Loss Contingencies [Line Items] |  |  |  |
Contingent consideration |  |  | $ 40,200 |
Union Supply Group, Inc | Fair Value Disclosure | Financial Assets and Liabilities Measured on a Recurring Basis |  |  |  |
Loss Contingencies [Line Items] |  |  |  |
Contingent consideration | 8,400 | 45,800 |  |
Next Level Hospitality |  |  |  |
Loss Contingencies [Line Items] |  |  |  |
Contingent consideration |  |  |  | $ 78,400
Next Level Hospitality | Fair Value Disclosure | Financial Assets and Liabilities Measured on a Recurring Basis |  |  |  |
Loss Contingencies [Line Items] |  |  |  |
Contingent consideration | $ 0 | $ 48,400 |  |

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