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Long-Term Debt (Details)
$ in Thousands
9 Months Ended
Feb. 28, 2023
Sep. 01, 2022
USD ($)
Jul. 27, 2021
USD ($)
May 31, 2023
USD ($)
Jun. 30, 2023
USD ($)
Long-term debt          
Payments for acquisitions   $ 249,594   $ 249,594  
Subsequent event          
Long-term debt          
Long-term line of credit, noncurrent         $ 120,000
Credit Agreement          
Long-term debt          
Long-term debt applicable interest rate       6.60%  
Maximum borrowing capacity     $ 200,000    
Additional borrowing capacity     $ 100,000    
Consolidated interest coverage ratio     3.50    
Carrying value of direct and indirect domestic subsidiaries       $ 328,788  
Term of debt     5 years    
Term of potential debt     10 years    
Credit Agreement | NuCera Solutions          
Long-term debt          
Long-term line of credit, noncurrent       130,000  
Credit Agreement | Minimum          
Long-term debt          
Net leverage ratio     3.25    
Payments for acquisitions       $ (50,000)  
Credit Agreement | Maximum          
Long-term debt          
Net leverage ratio       3.75  
Credit Agreement | London Interbank Offered Rate (LIBOR)          
Long-term debt          
Interest payment due     3 months    
Credit Agreement | London Interbank Offered Rate (LIBOR) | Minimum          
Long-term debt          
Interest rate margin on variable rate basis (as a percent)     1.00%    
Credit Agreement | London Interbank Offered Rate (LIBOR) | Maximum          
Long-term debt          
Interest rate margin on variable rate basis (as a percent)     1.75%    
Credit Agreement | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Minimum          
Long-term debt          
Interest rate margin on variable rate basis (as a percent) 1.00%        
Credit Agreement | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Maximum          
Long-term debt          
Interest rate margin on variable rate basis (as a percent) 1.75%