Goodwill and Other Long-Lived Assets - Summary of Other Intangible Assets by Class (Detail) - USD ($) $ in Thousands	May 31, 2022	May 31, 2021
Other Intangible Assets [Line Items]
Indefinite-lived intangibles assets, Cost	$ 99,901	$ 99,901
Definite-lived intangibles assets, Cost	293,089	220,999
Total intangible assets, Cost	392,990	320,900
Definite-lived intangible assets, Accumulated Amortization	93,973	80,513
Trademarks
Other Intangible Assets [Line Items]
Indefinite-lived intangibles assets, Cost	99,901	99,901
Customer relationships
Other Intangible Assets [Line Items]
Definite-lived intangibles assets, Cost	258,647	198,234
Definite-lived intangible assets, Accumulated Amortization	83,776	72,499
Non-compete agreements
Other Intangible Assets [Line Items]
Definite-lived intangibles assets, Cost	4,388	4,098
Definite-lived intangible assets, Accumulated Amortization	4,195	4,098
Technology / know-how
Other Intangible Assets [Line Items]
Definite-lived intangibles assets, Cost	23,924	13,165
Definite-lived intangible assets, Accumulated Amortization	5,088	3,614
In-process research & development
Other Intangible Assets [Line Items]
Definite-lived intangibles assets, Cost	1,300
Other
Other Intangible Assets [Line Items]
Definite-lived intangibles assets, Cost	4,830	5,502
Definite-lived intangible assets, Accumulated Amortization	$ 914	$ 302