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Leases - Components of Total Lease Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Leases [Abstract]      
Operating lease cost $ 26.2 $ 23.5 $ 22.3
Variable lease cost 5.4 3.8 4.2
Short-term lease cost 4.0 3.8 3.6
Total lease cost $ 35.6 $ 31.1 $ 30.1