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Other Expense (Details) - USD ($)
$ in Millions
 3 Months Ended
Nov. 30, 2023
Nov. 30, 2022
Interest expense, net:    
Interest expense $ 6.4 $ 7.9
Interest income (5.5) (1.3)
Interest expense, net 0.9 6.6
Miscellaneous expense, net:    
Non-service components of net periodic pension cost 1.1 1.3
Foreign currency transaction losses (gains) 0.6 (2.7)
Loss on sale of a business 0.0 11.2
Other items (0.6) (0.7)
Miscellaneous expense, net 1.1 9.1
Total other expense $ 2.0 $ 15.7