Summary of Trade Accounts Receivable Net of Allowances and Net Contract Assets (Detail) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended
	Feb. 28, 2022	Feb. 28, 2022	Nov. 30, 2021	May 31, 2021
Disaggregation Of Revenue [Line Items]
Trade accounts receivable, less allowances	$ 1,085,396	$ 1,085,396	$ 1,173,494	$ 1,280,806
Contract assets	47,638	47,638	47,615	33,217
Contract liabilities - short-term	(37,157)	(37,157)	(36,279)	(33,112)
Net Contract Assets	10,481	10,481	$ 11,336	$ 105
Change in Contract with Customer, Asset and Liability [Abstract]
Change in trade accounts receivable, less allowance	(88,098)	(195,410)
Change in contract assets	23	14,421
Increase in net contract assets	$ (855)	$ (10,376)
Percentage of change in trade accounts receivable, less allowance	(7.50%)	(15.30%)
Percentage of change in contract assets	0.00%	43.40%
Percentage of change in Net Contract Assets/(Liabilities)	(7.50%)
Short-term
Change in Contract with Customer, Asset and Liability [Abstract]
Change in contract liabilities	$ (878)	$ (4,045)
Percentage of change in contract liabilities	2.40%	12.20%