Major Classes of Inventories, Net of Reserves (Detail) - USD ($) $ in Thousands	Aug. 31, 2022	May 31, 2022
Inventory Disclosure [Abstract]
Raw material and supplies	$ 607,697	$ 560,886
Finished goods	732,257	651,732
Total Inventory, Net of Reserves	$ 1,339,954	$ 1,212,618