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Leases - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Lessee, Lease, Description [Line Items]      
Weighted average discount rate (percent) 2.00% 2.00%  
Weighted average remaining lease term 5 years    
Rent expense     $ 22.6
Cash paid for operating lease liabilities $ 26.2 $ 18.7  
ROU assets obtained in exchange for lease liabilities 12.9 27.2  
Special Charges      
Lessee, Lease, Description [Line Items]      
ROU lease asset impairment charges $ 0.0 $ 7.4 $ 0.0