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Significant Accounting Policies - Miscellaneous Income, Net (Details) - USD ($)
$ in Millions
1 Months Ended 12 Months Ended
Nov. 30, 2022
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Disposal Group, Not Discontinued Operations | Sunoptics Business        
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]        
Loss on sale $ 11.2 $ 11.2    
Miscellaneous Expense (Income), Net        
Financial Statement Line Items with Differences in Reported Amount and Reporting Currency Denominated Amounts [Line Items]        
Net gains (losses) relating to foreign currency items   $ 8.4 $ 5.3 $ (1.3)