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Leases - Schedule of Operating Lease Costs and Other Related Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Leases [Abstract]    
Operating lease costs $ 42.9 $ 28.0
Cash paid for amounts included in the measurement of operating lease liabilities 25.8 18.4
Right-of-use assets obtained in exchange for operating lease liabilities $ 56.4 $ 14.3
Weighted average remaining lease term (years) 8 years 7 months 6 days 9 years 9 months 18 days
Weighted average discount rate (as a percent) 5.00% 4.50%