Revenue - Additional Information (Detail) $ in Thousands	3 Months Ended		6 Months Ended
	Nov. 30, 2021 USD ($)	Nov. 30, 2020 USD ($)	Nov. 30, 2021 USD ($) Segment	Nov. 30, 2020 USD ($)	Aug. 31, 2021 USD ($)	May 31, 2021 USD ($)
Disaggregation Of Revenue [Line Items]
Number of reportable segments | Segment			4
Revenue performance obligation description of payment terms			Payment terms and conditions vary by contract type, although our customers’ payment terms generally include a requirement to pay within 30 to 60 days of fulfilling our performance obligations
Revenue, Practical Expedient, Financing Component [true false]			false
Increase in net contract assets	$ 1,181		$ 11,231
Net Sales	1,639,538	$ 1,485,915	3,289,959	$ 3,092,586
Long-term deferred revenue	$ 67,200		$ 67,200		$ 67,400	$ 67,800