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New Accounting Pronouncements - Narrative (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Sep. 01, 2019
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Accounting Standards Update [Extensible List] us-gaap:AccountingStandardsUpdate201602Member us-gaap:AccountingStandardsUpdate201409Member  
Operating lease liabilities $ 74.0    
Long-term operating lease liabilities 56.8    
Current operating lease liabilities 17.2    
Operating lease right-of-use assets $ 63.4    
ASU 2016-02      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]      
Operating lease liabilities     $ 64.7
Long-term operating lease liabilities     49.3
Current operating lease liabilities     15.4
Deferred rent balances derecognized     (5.1)
Operating lease right-of-use assets     $ 59.6