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Goodwill and Other Intangible Assets - Additional Information (Detail) - USD ($)	3 Months Ended		9 Months Ended		12 Months Ended
	Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022	May 31, 2022
Other non-amortizable intangible assets	$ 14,252,000		$ 14,252,000		$ 15,397,000
Non amortizable intangible assets impairment loss	1,000,000.0		1,000,000.0
Amortization expense for intangible assets	22,900,000	$ 2,600,000	48,000,000.0	$ 7,300,000
Estimated amortization expense for period, 2023	23,100,000		23,100,000
Estimated amortization expense for period, 2024	91,800,000		91,800,000
Estimated amortization expense for period, 2025	91,300,000		91,300,000
Estimated amortization expense for period, 2026	91,200,000		91,200,000
Estimated amortization expense for period, 2027	90,700,000		90,700,000
Finite-lived intangible asset, expected amortization, after year four	1,230,000,000		$ 1,230,000,000
Weighted average remaining amortization period for intangibles			18 years		8 years
Maximum
Finite lived intangible assets, useful life			25 years
Minimum
Finite lived intangible assets, useful life			5 years
Licenses
Other non-amortizable intangible assets	569,000		$ 569,000		$ 569,000
Licenses | Maximum
Finite lived intangible assets, useful life			20 years
Licenses | Minimum
Finite lived intangible assets, useful life			2 years
Trademarks
Other non-amortizable intangible assets	12,459,000		$ 12,459,000		13,604,000
Other Intangible Assets
Other non-amortizable intangible assets	$ 1,224,000		$ 1,224,000		$ 1,224,000
Noncompete Agreements | Maximum
Finite lived intangible assets, useful life			10 years
Noncompete Agreements | Minimum
Finite lived intangible assets, useful life			3 years
Patents | Maximum
Finite lived intangible assets, useful life			25 years
Patents | Minimum
Finite lived intangible assets, useful life			5 years
Other products and service-related intangibles | Maximum
Finite lived intangible assets, useful life			15 years
Other products and service-related intangibles | Minimum
Finite lived intangible assets, useful life			5 years
Customer relationships | Maximum
Finite lived intangible assets, useful life			20 years
Customer relationships | Minimum
Finite lived intangible assets, useful life			9 years
Trade names and trademarks | Maximum
Finite lived intangible assets, useful life			25 years
Trade names and trademarks | Minimum
Finite lived intangible assets, useful life			10 years
Developed technology | Maximum
Finite lived intangible assets, useful life			20 years
Developed technology | Minimum
Finite lived intangible assets, useful life			10 years

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in remainder of current fiscal year.

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Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fourth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach).

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Amount after impairment of indefinite-lived intangible assets classified as other. Excludes financial assets and goodwill.

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