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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
9 Months Ended
May 31, 2025
May 31, 2024
Aug. 31, 2024
Disaggregation Of Revenue [Line Items]      
Unsatisfied performance obligation amount $ 20.4    
Revenue recognized 15.3 $ 14.5  
Other Current Assets [Member]      
Disaggregation Of Revenue [Line Items]      
Contract assets 1.6 3.6 $ 3.3
Other Current Liabilities [Member]      
Disaggregation Of Revenue [Line Items]      
Contract liabilities $ 20.8 $ 23.5 $ 21.5