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Revenue Recognition - Contracted Balances (Details) - USD ($) $ in Millions	12 Months Ended
	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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- Definition

Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer.

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