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Severance - Narrative (Details) - USD ($)
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Accrued Payroll and Related Expenses      
Restructuring Cost and Reserve [Line Items]      
Severance charges $ 40,400,000    
Uniform      
Restructuring Cost and Reserve [Line Items]      
Severance charges     $ 9,000,000
Unpaid obligations related to this severance 0    
COVID-Related Severance | Accrued Payroll and Related Expenses | Employee Severance and Other Costs      
Restructuring Cost and Reserve [Line Items]      
Severance charges     $ (16,300,000)
Unpaid obligations related to this severance 0    
Cost of Services Provided (Exclusive of Depreciation and Amortization)      
Restructuring Cost and Reserve [Line Items]      
Severance charges $ 41,700,000 $ 19,600,000