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Share Repurchases (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Equity [Abstract]        
Number of shares of common stock repurchased during the period 0 0 0 0
Remaining amount available under the repurchase program $ 63.7   $ 63.7