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Significant Accounting Policies - Interest Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Accounting Policies [Abstract]      
Interest expense $ 27.0 $ 24.2 $ 26.4
Interest income (2.1) (1.0) (3.1)
Interest expense, net $ 24.9 $ 23.2 $ 23.3