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Discontinued Operations - Details of Income from Discontinued Operations, Net of Tax (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Gain on Sale of Equity Investments, net $ 25,071 $ 375,972 $ 0
Vestis      
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Revenue   2,770,645 2,639,355
Cost of services provided (exclusive of depreciation and amortization)   2,263,133 2,152,023
Depreciation and amortization   136,505 134,352
Selling and general corporate expenses   133,109 140,007
Costs and Expenses   2,532,747 2,426,382
Operating income   237,898 212,973
Gain on Sale of Equity Investments, net   51,831 0
Interest Expense, net   2,109 4,549
Income from Discontinued Operations Before Income Taxes   287,620 208,424
Provision for Income Taxes from Discontinued Operations   61,188 53,028
Income from Discontinued Operations, net of tax   $ 226,432 $ 155,396