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Accumulated Other Comprehensive Income (Detail) - USD ($)
$ in Millions
 3 Months Ended
Dec. 30, 2023
Dec. 31, 2022
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning balance $ 5,016.9  
Other comprehensive income (loss) before reclassifications 28.8 $ 110.9
Ending balance 4,653.8  
Total    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning balance (147.6) (238.2)
Ending balance (118.8) (127.3)
Foreign Currency Translation    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning balance (168.0) (267.2)
Other comprehensive income (loss) before reclassifications 43.0 113.8
Ending balance (125.0) (153.4)
Pension Plans    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning balance 0.3 (0.3)
Other comprehensive income (loss) before reclassifications 0.0 0.0
Ending balance 0.3 (0.3)
Interest Rate Swap | Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning balance 20.1 29.3
Other comprehensive income (loss) before reclassifications (14.2) (2.9)
Ending balance $ 5.9 $ 26.4