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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($)
$ in Thousands
May 31, 2023
May 31, 2022
Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value $ 281,547 $ 314,369
Accumulated amortization (170,403) (161,989)
Net carrying value 111,144 152,380
Product technologies    
Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 211,751 239,467
Accumulated amortization (118,314) (112,141)
Net carrying value 93,437 127,326
Customer relationships    
Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 57,509 60,115
Accumulated amortization (40,755) (38,003)
Net carrying value 16,754 22,112
Trademarks    
Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 7,450 9,950
Accumulated amortization (6,660) (7,185)
Net carrying value 790 2,765
Licenses    
Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 4,837 4,837
Accumulated amortization (4,674) (4,660)
Net carrying value $ 163 $ 177