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Significant Accounting Policies - Miscellaneous Income, Net (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]      
Gain on sale of business $ 0.0 $ 5.4 $ 0.0
Reclassification from AOCI, Current Period, Net of Tax, Attributable to Parent (6.0) 1.5  
Gain on sale of investment in unconsolidated affiliate 0.0 0.0 7.2
Miscellaneous expense (income), net      
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]      
Income (expense) relating to foreign currency items 0.6 0.1 $ (0.5)
Foreign Currency Items      
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]      
Reclassification from AOCI, Current Period, Net of Tax, Attributable to Parent $ 0.0 $ 8.7