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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($)
$ in Thousands
Nov. 30, 2021
May 31, 2021
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items $ 319,130 $ 313,235
Accumulated amortization (154,130) (144,258)
Net carrying value, finite intangible items 165,000 168,977
Product technologies    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 242,907 236,907
Accumulated amortization (105,140) (97,343)
Net carrying value, finite intangible items 137,767 139,564
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 60,186 60,291
Accumulated amortization (36,067) (34,164)
Net carrying value, finite intangible items 24,119 26,127
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 9,950 9,950
Accumulated amortization (7,045) (6,905)
Net carrying value, finite intangible items 2,905 3,045
Licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying value, finite intangible items 6,087 6,087
Accumulated amortization (5,878) (5,846)
Net carrying value, finite intangible items $ 209 $ 241