Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($)		3 Months Ended			9 Months Ended
	Jun. 01, 2023	Feb. 29, 2024	Aug. 31, 2023	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023	May 31, 2023	May 31, 2022
Goodwill And Intangible Assets [Line Items]
Accumulated goodwill impairment losses		$ 193,000,000		$ 193,000,000	$ 193,000,000	$ 193,000,000
Goodwill impairment losses		0		36,745,000	0	36,745,000
Loss on sale of Bridgecare services division				24,700,000
Goodwill		1,309,744,000		1,288,071,000	1,309,744,000	1,288,071,000	$ 1,293,588,000	$ 1,337,868,000
Impairment of our long-lived assets				0		0
Universal Sealants
Goodwill And Intangible Assets [Line Items]
Goodwill impairment losses				36,700,000		36,700,000
Impairments for definite-lived long-lived assets						0
Goodwill				1,100,000		1,100,000
Universal Sealants | Trade names
Goodwill And Intangible Assets [Line Items]
Impairment of indefinite-lived assets				2,500,000		2,500,000
Universal Sealants | USL Restructuring
Goodwill And Intangible Assets [Line Items]
Loss on sale of Bridgecare services division			$ 4,500,000
SPG Segments
Goodwill And Intangible Assets [Line Items]
Accumulated goodwill impairment losses		141,400,000			141,400,000
Goodwill		150,397,000		150,141,000	150,397,000	150,141,000	150,074,000	166,805,000
CPG Segment
Goodwill And Intangible Assets [Line Items]
Accumulated goodwill impairment losses		14,900,000			14,900,000
Goodwill transferred					(11,414,000)
Goodwill		453,378,000		446,505,000	453,378,000	446,505,000	450,555,000	453,651,000
PCG Segment
Goodwill And Intangible Assets [Line Items]
Accumulated goodwill impairment losses		36,700,000			36,700,000
Goodwill transferred	$ 11,400,000				11,414,000
Goodwill impairment losses				36,700,000		36,745,000
Goodwill		$ 173,637,000		$ 162,240,000	$ 173,637,000	$ 162,240,000	$ 161,732,000	$ 201,815,000
PCG Segment | Trade names | Other Restructuring Costs
Goodwill And Intangible Assets [Line Items]
Impairment of indefinite-lived assets			$ 3,300,000
PCG Segment | Universal Sealants
Goodwill And Intangible Assets [Line Items]
Percentage of annual revenue				30.00%