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Revenue Recognition Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Disaggregation of Revenue [Line Items]        
Revenues $ 151,894 $ 143,149 $ 419,395 $ 383,233
Revenue Recognized at a Point in Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues 117,156 107,316 322,247 284,823
Transferred over Time [Member]        
Disaggregation of Revenue [Line Items]        
Revenues $ 34,738 $ 35,833 $ 97,148 $ 98,410