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New Accounting Pronouncements - Effects of Adopting ASC 606 on Consolidated Balance Sheet (Details) - USD ($)
$ in Millions
Aug. 31, 2019
Aug. 31, 2018
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Accounts receivable, net $ 561.0 $ 637.9
Prepayments and other current assets 79.0 32.3
Other accrued liabilities 175.0 164.2
Deferred income taxes 92.7 92.5
Other long-term liabilities 110.7 67.9
Retained earnings 2,295.8 $ 1,999.2
Higher (Lower)    
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Accounts receivable, net 21.4  
Prepayments and other current assets 13.9  
Other accrued liabilities 35.6  
Deferred income taxes (5.3)  
Other long-term liabilities 22.0  
Retained earnings (17.0)  
Without ASC 606 Adoption    
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Accounts receivable, net 539.6  
Prepayments and other current assets 65.1  
Other accrued liabilities 139.4  
Deferred income taxes 98.0  
Other long-term liabilities 88.7  
Retained earnings $ 2,312.8