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Summary of Significant Accounting Policies - Changes in accumulated balances of other comprehensive income (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2023
Sep. 24, 2022
Sep. 25, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Accumulated Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Net of Tax $ (168.0) $ (267.2) $ (43.1)
Accumulated Other Comprehensive (Income) Loss, Defined Benefit Plan, after Tax 0.3 (0.3) (1.3)
Accumulated Other Comprehensive Income (Loss), Net of Tax (147.6) (238.2) (59.1)
Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax, Portion Attributable to Parent 99.2 (224.1) (20.2)
Changes in pension plans, net of taxes of $0.3 in 2023, $0.4 in 2022, and $0.2 in 2021. 0.6 1.0 0.5
Other Comprehensive Income (Loss), before Reclassifications, before Tax 90.6 (179.1)  
Notional Amount 377.9    
Interest Rate Swap      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Accumulated other comprehensive Income loss Hedge $ 20.1 $ 29.3 $ (14.7)