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Income Taxes - Unrecognized Tax Benefits (Detail) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Income Tax Disclosure [Abstract]      
Unrecognized Tax Benefit – Opening Balance $ 1.6 $ 5.5 $ 1.6
Gross increases – tax positions in prior period     4.0
Gross decreases – tax positions in prior period (0.9) (3.6)  
Lapse of statute of limitations (0.3) (0.3) (0.1)
Unrecognized Tax Benefit – Ending Balance $ 0.4 $ 1.6 $ 5.5