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Income Taxes - Components of Income Tax Expense (Benefit) of Continuing Operations (Detail) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Current      
Federal $ 2.0 $ 7.4 $ (6.7)
State 2.2 2.7 0.9
Foreign 38.8 9.7 19.2
Current Income Tax Expense (Benefit), Total 43.0 5.1 5.2
Deferred      
Federal 14.6 7.9 2.2
State 0.1 0.6 1.4
Foreign (2.0) (3.4) 1.6
Total Deferred Income Tax Expense (Benefit) 12.7 19.8 13.4
Change in valuation allowance 6.3 (0.3) (0.5)
Income tax expense (benefit) $ 62.0 $ 24.6 $ 18.1