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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2022
Aug. 31, 2021
Deferred revenue $ 83.0 $ 83.0 $ 88.6
Other long-term liabilities 2.1 2.1 2.7
Remaining performance obligations 119.3 119.3  
Subscription Offerings [Member]      
Deferred revenue 70.4 70.4 $ 77.0
Subscription [Member]      
Deferred revenue recognized $ 28.0 $ 56.4