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Other Expense (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Interest expense (income), net:        
Interest expense $ 11.7 $ 6.5 $ 17.8 $ 12.9
Interest income (4.8) (6.6) (14.9) (12.1)
Interest expense (income), net 6.9 (0.1) 2.9 0.8
Miscellaneous expense, net:        
Non-service components of net periodic pension cost 0.9 1.0 1.9 2.1
Foreign currency transaction (gain) losses (0.2) 0.2 (0.1) 0.8
Other items 0.3   1.7  
Other items   (0.6)   (1.2)
Miscellaneous expense, net 1.0 0.6 3.5 1.7
Total other expense $ 7.9 $ 0.5 $ 6.4 $ 2.5