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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Aug. 31, 2024
Disaggregation Of Revenue [Line Items]      
Unsatisfied performance obligation amount $ 44.2    
Revenue recognized 13.7 $ 12.1  
Other Current Assets [Member]      
Disaggregation Of Revenue [Line Items]      
Contract assets 2.1 1.1 $ 3.3
Other Current Liabilities [Member]      
Disaggregation Of Revenue [Line Items]      
Contract liabilities $ 4.4 $ 18.3 $ 21.5