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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 29, 2024
Aug. 31, 2023
Deferred revenue $ 108.1 $ 108.1 $ 111.2
Other long-term liabilities 3.7 3.7 3.7
Remaining performance obligations 158.8 158.8  
Subscription Offerings [Member]      
Deferred revenue 86.1 86.1 $ 99.0
Subscription [Member]      
Deferred revenue recognized $ 35.6 $ 72.2