Goodwill and Other Long-Lived Assets - Additional Information (Detail) - USD ($)	3 Months Ended	12 Months Ended
	Feb. 28, 2021	May 31, 2024	May 31, 2023	May 31, 2022
Goodwill And Other Intangible Assets [Line Items]
Goodwill		$ 79,600,000	$ 78,600,000	$ 80,000,000
Amortization expense		6,300,000	$ 6,300,000	$ 4,800,000
Number of plans			two
Assets held for sale		2,900,000	$ 3,400,000
Impairment charge of long-lived assets		1,400,000
Operating lease assets		72,900,000	75,300,000
Estimate of fair value less costs to sell		200,000
Fixed Assets
Goodwill And Other Intangible Assets [Line Items]
Assets held for sale			2,600,000
Impairment charge of long-lived assets			2,100,000
Production Equipment Member | Twinsburg | WSCP Joint Ventures Facility
Goodwill And Other Intangible Assets [Line Items]
Impairment charge of long-lived assets	$ 3,100,000
Fair Value, Nonrecurring
Goodwill And Other Intangible Assets [Line Items]
Fair market value of assets		$ 0	2,600
Fair Value, Nonrecurring | Fair Value, Inputs, Level 2
Goodwill And Other Intangible Assets [Line Items]
Fair market value of assets			$ 2,600
Minimum
Goodwill And Other Intangible Assets [Line Items]
Definite-lived intangible assets, estimated useful lives		3 years
Maximum
Goodwill And Other Intangible Assets [Line Items]
Definite-lived intangible assets, estimated useful lives		20 years