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New Accounting Pronouncements - Effects of ASU 2017-07 on Consolidated Statements of Comprehensive Income (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2018
Nov. 30, 2017
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Cost of products sold $ 565.1 $ 492.9
Selling, distribution, and administrative expenses 250.1 229.5
Miscellaneous expense (income), net $ (1.3) (1.2)
ASU 2017-07    
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Cost of products sold   0.3
Selling, distribution, and administrative expenses   (1.9)
Miscellaneous expense (income), net   (1.6)
Previously Reported    
New Accounting Pronouncements or Change in Accounting Principle [Line Items]    
Cost of products sold   492.6
Selling, distribution, and administrative expenses   231.4
Miscellaneous expense (income), net   $ 0.4