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Leases (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Lessee, Lease, Description [Line Items]      
Weighted average discount rate (percent) 1.90%    
Weighted average remaining lease term 6 years    
Rent expense   $ 22.6 $ 22.3
Cash paid for operating lease liabilities $ 18.7    
ROU assets obtained in exchange for lease liabilities 27.2    
Special Charges      
Lessee, Lease, Description [Line Items]      
ROU lease asset impairment charges $ 7.4 $ 0.0 $ 0.0