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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($)
$ in Thousands
Aug. 31, 2023
May 31, 2023
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items $ 280,404 $ 281,547
Accumulated amortization (173,733) (170,403)
Net carrying value, finite intangible items 106,671 111,144
Product technologies    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 210,589 211,751
Accumulated amortization (120,652) (118,314)
Net carrying value, finite intangible items 89,937 93,437
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 57,528 57,509
Accumulated amortization (41,714) (40,755)
Net carrying value, finite intangible items 15,814 16,754
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 7,450 7,450
Accumulated amortization (6,689) (6,660)
Net carrying value, finite intangible items 761 790
Licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 4,837 4,837
Accumulated amortization (4,678) (4,674)
Net carrying value, finite intangible items $ 159 $ 163