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Significant Accounting Policies - Other Expense (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Interest (income) expense, net:      
Interest expense $ 25.3 $ 27.9 $ 27.0
Investment income (29.8) (9.0) (2.1)
Interest (income) expense, net (4.5) 18.9 24.9
Miscellaneous expense (income), net      
Non-service components of net periodic pension cost 4.5 5.0 (1.0)
Foreign currency transaction losses (gains) 5.3 (8.4) (5.3)
Loss on sale of business 0.0 11.2 0.0
Other items (0.6) 0.0 (2.8)
Miscellaneous expense (income), net 9.2 7.8 (9.1)
Total other expense $ 4.7 $ 26.7 $ 15.8
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) Excluding Service Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Total other expense Total other expense Total other expense