Goodwill and Long-Lived Assets - Additional Information (Detail) - USD ($)		3 Months Ended		6 Months Ended
		Nov. 30, 2022	Aug. 31, 2022	Nov. 30, 2022	Nov. 30, 2021	May 31, 2022
Impaired Long Lived Assets Held And Used [Line Items]
Goodwill		$ 412,971,000		$ 412,971,000		$ 401,469,000
Impairment of long-lived assets		0	$ 312,000		$ 0
Impairment of long-lived assets				312,000
Fair Value, Nonrecurring
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets		0		0		700,000
Fair Value, Nonrecurring | Fair Value, Inputs, Level 2
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets						700,000
Long Lived Assets Held for Sale
Impaired Long Lived Assets Held And Used [Line Items]
Fixed asset net book value		$ 1,562,000		$ 1,562,000
Long Lived Assets Held for Sale | Fair Value, Nonrecurring
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets	[1]					700,000
Long Lived Assets Held for Sale | Fair Value, Nonrecurring | Fair Value, Inputs, Level 2
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets	[1]					$ 700,000

[1] Comprised of production equipment at our Twinsburg, Ohio facility with an estimated fair market value of $700,000.