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Significant Accounting Policies - Miscellaneous Income, Net (Details) - USD ($) $ in Millions | 12 Months Ended
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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

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