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Revenue Recognition - Contracted Balances (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
Cost of services provided, employee sales commissions      
Disaggregation of Revenue [Line Items]      
Capitalized contract cost, amortization $ 9.9 $ 8.5 $ 7.0
Depreciation and amortization      
Disaggregation of Revenue [Line Items]      
Capitalized contract cost, amortization 16.7 17.7 19.5
Depreciation and amortization | Leasehold improvements      
Disaggregation of Revenue [Line Items]      
Capitalized contract cost, amortization 131.0 129.8 123.9
Cost of services provided, long-term prepaid rent      
Disaggregation of Revenue [Line Items]      
Capitalized contract cost, amortization $ 52.2 $ 47.5 $ 34.8