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Revenue Recognition (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Disaggregation Of Revenue [Line Items]    
Unsatisfied performance obligation amount $ 1.5 $ 2.0
Revenue recognized 27.7  
Other Current Assets [Member]    
Disaggregation Of Revenue [Line Items]    
Contract assets 1.3 0.9
Other Current and Noncurrent Liabilities [Member]    
Disaggregation Of Revenue [Line Items]    
Contract liabilities $ 20.5 $ 30.6