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Goodwill and Intangible Assets - Narrative (Details)
3 Months Ended 6 Months Ended
Dec. 31, 2020
USD ($)
Nov. 30, 2022
USD ($)
unit
segment
Aug. 31, 2022
unit
Nov. 30, 2021
USD ($)
Nov. 30, 2022
USD ($)
segment
Nov. 30, 2021
USD ($)
Finite-Lived Intangible Assets [Line Items]            
Number of reporting units | unit   2 1      
Number of operating segments | segment   2     2  
Goodwill impairment $ 0          
Amortization of intangibles   $ 4,808,000   $ 4,889,000 $ 9,645,000 $ 9,710,000
Minimum            
Finite-Lived Intangible Assets [Line Items]            
Estimated useful life of intangible assets other than goodwill         2 years  
Maximum            
Finite-Lived Intangible Assets [Line Items]            
Estimated useful life of intangible assets other than goodwill         18 years