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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2023
Aug. 31, 2022
Deferred revenue $ 90.9 $ 90.9 $ 102.4
Other long-term liabilities 2.2 2.2 2.7
Remaining performance obligations 145.8 145.8  
Subscription Offerings [Member]      
Deferred revenue 76.1 76.1 $ 88.1
Subscription [Member]      
Deferred revenue recognized $ 33.0 $ 66.0