Income Taxes - Reconciliation of Federal Statutory Corporate Income Tax Rate to Total Tax Provision (Detail)		5 Months Ended	7 Months Ended	12 Months Ended
		May 31, 2018	Dec. 31, 2017	May 31, 2020	May 31, 2019	May 31, 2018
Income Tax Disclosure [Abstract]
Federal statutory income tax rate		21.00%	35.00%	21.00%	21.00%	29.20%
State and local income taxes, net of federal tax benefit				2.40%	2.10%	2.30%
Non-U.S. income taxes at other than federal statutory rate				3.10%	0.20%	(1.40%)
Qualified production activities deduction						(2.30%)
Impact of tax reform	[1]					(15.40%)
Worthington Aritas write down						(4.80%)
Excess benefit related to share-based payment awards				(1.20%)	(1.40%)	(2.00%)
Nondeductible executive compensation				1.10%	0.60%	0.30%
AMTROL acquisition						(1.90%)
Other				(1.30%)	(0.50%)
Effective tax rate attributable to controlling interest				25.10%	22.00%	4.00%

[1] Amount reflects the impact of the re-measurement of the Company’s deferred tax balances at the lower federal statutory corporate income tax rate, net of the mandatory deemed repatriation tax on unremitted foreign earnings.