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Leases (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Lessee, Lease, Description [Line Items]      
Operating Lease, Weighted Average Remaining Lease Term 8 years 8 years 9 years
Operating Lease, Weighted Average Discount Rate, Percent 6.19% 5.99% 5.26%
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible List] Other assets Other assets  
Operating ROU assets $ 228.8 $ 176.2  
Operating Lease, Liability, Current, Statement of Financial Position [Extensible List] Other current liabilities Other current liabilities  
Operating lease liabilities $ 41.0 $ 22.8  
Operating Lease, Liability, Noncurrent, Statement of Financial Position [Extensible List] Other liabilities Other liabilities  
Operating lease liabilities $ 207.4 $ 169.6  
Operating Lease, Liability, Statement of Financial Position [Extensible List] Other Liabilities Other Liabilities  
Operating Lease, Liability $ 248.4 $ 192.4  
Lessee, Operating Lease, Liability, Payments, Due Year One 54.9    
Lessee, Operating Lease, Liability, Payments, Due Year Two 48.2    
Lessee, Operating Lease, Liability, Payments, Due Year Three 41.1    
Lessee, Operating Lease, Liability, Payments, Due Year Four 35.0    
Lessee, Operating Lease, Liability, Payments, Due Year Five 28.4    
Lessee, Operating Lease, Liability, Payments, Due after Year Five 105.2    
Lessee, Operating Lease, Liability, Payments, Due 312.8    
Less: Implied interest 64.4    
Operating Lease, Cost 55.6 45.8 $ 45.5
Variable Lease, Cost 6.7 5.3 5.2
Short-term Lease, Cost 9.0 7.7 9.4
Operating Lease, Payments 37.1 32.5 29.6
Right-of-Use Asset Obtained in Exchange for Operating Lease Liability $ 81.8 $ 77.7 $ 20.7
Minimum      
Lessee, Lease, Description [Line Items]      
Lessee, Operating Lease, Term of Contract 1 year    
Maximum      
Lessee, Lease, Description [Line Items]      
Lessee, Operating Lease, Term of Contract 52 years