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Significant Accounting Policies - Miscellaneous Income, Net (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]      
Gain on sale of business $ 0.0 $ 0.0 $ 5.4
Amounts reclassified from accumulated other comprehensive loss (7.4) (6.0)  
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 (5.9) 0.6 0.1
Foreign Currency Items      
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]      
Amounts reclassified from accumulated other comprehensive loss $ 0.0 $ 0.0 $ 8.7