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Fair Value Measurements (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis      
Deferred compensation investment $ 16.3 $ 13.0  
Asset Derivatives: 5.3 25.6  
Equity securities 35.7 0.2  
Assets, Fair Value Disclosure 57.3 38.8  
Deferred compensation liabilities 49.9 36.8  
Liability Derivatives: 14.8 16.1  
Liabilities, Fair Value Disclosure 64.7 52.9  
Impairment of goodwill 0.0 42.2 $ 0.0
(Losses) gains related to assets and liabilities held for sale     $ 9.4
Level 1      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis      
Deferred compensation investment 16.3 13.0  
Equity securities 35.7 0.2  
Assets, Fair Value Disclosure 52.0 13.2  
Deferred compensation liabilities 0.0 0.0  
Liability Derivatives: 0.0 0.0  
Liabilities, Fair Value Disclosure 0.0 0.0  
Level 2      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis      
Deferred compensation investment 0.0 0.0  
Asset Derivatives: 5.3 25.6  
Equity securities 0.0 0.0  
Assets, Fair Value Disclosure 5.3 25.6  
Deferred compensation liabilities 49.9 36.8  
Liability Derivatives: 14.8 16.1  
Liabilities, Fair Value Disclosure 64.7 52.9  
Debt, Fair Value Disclosure 6,880.7 5,491.5  
Level 2 | Senior Notes | 2.50% convertible senior notes maturing in August 2027      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis      
Debt, Fair Value Disclosure $ 684.9 $ 572.6