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Revenue Recognition Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Nov. 30, 2024
Nov. 30, 2023
Disaggregation of Revenue [Line Items]    
Revenues $ 145,196 $ 141,970
Accounts Receivable, Allowance for Credit Loss, Period Increase (Decrease) 13,200  
Revenue Recognized at a Point in Time [Member]    
Disaggregation of Revenue [Line Items]    
Revenues 109,296 106,142
Transferred over Time [Member]    
Disaggregation of Revenue [Line Items]    
Revenues $ 35,900 $ 35,828