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Leases - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2019
May 31, 2020
May 31, 2019
Leases [Abstract]      
Operating leases weighted average discount rate (percent)   2.20%  
Weighted average remaining lease term   6 years  
Rent expense $ 5.9   $ 16.8
Operating lease payments   $ 14.0  
Right-of-Use asset obtained in exchange for operating lease liability   $ 11.3