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Leases - Components of Total Lease Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Leases [Abstract]    
Operating lease cost $ 18.3 $ 18.1
Variable lease cost 2.0 2.3
Short-term lease cost 2.2 2.8
Total lease cost $ 22.5 $ 23.2