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Revenue Recognition - Contracted Balances (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 29, 2023 | Sep. 30, 2022 | Oct. 01, 2021
Cost of services provided (exclusive of depreciation and amortization) |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Capitalized contract cost, amortization | $ 28.6 | $ 26.3 | $ 23.9
Cost of services provided (exclusive of depreciation and amortization) | Career Apparel and Linens |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Capitalized contract cost, amortization | 343.9 | 288.5 | 274.5
Cost of services provided (exclusive of depreciation and amortization) | Operating Lease Right-of-Use Assets |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Capitalized contract cost, amortization | 47.5 | 34.8 | 25.3
Depreciation and amortization |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Capitalized contract cost, amortization | 17.7 | 19.5 | 20.0
Depreciation and amortization | Property, Plant and Equipment | Leasehold Improvements |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Capitalized contract cost, amortization | $ 129.8 | $ 123.9 | $ 131.6

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