Other Expense (Income), Net - Schedule of Other Expense (Income), Net (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022
Other Income and Expenses [Abstract]
Pension non-service costs (credits)	$ 2,648	$ (2,644)	$ 7,650	$ (8,012)
Other	(309)	(98)	(585)	(989)
Other expense (income), net	$ 2,339	$ (2,742)	$ 7,065	$ (9,001)