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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($) $ in Thousands | May 31, 2023 | May 31, 2022
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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

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