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Significant Accounting Policies - Interest Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Accounting Policies [Abstract]      
Interest expense $ 27.9 $ 27.0 $ 24.2
Interest income (9.0) (2.1) (1.0)
Interest expense, net $ 18.9 $ 24.9 $ 23.2