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Goodwill and Other Intangible Assets - Additional Information (Detail) - USD ($)			3 Months Ended		6 Months Ended
	Nov. 30, 2022	May 31, 2022	Nov. 30, 2022	Nov. 30, 2021	Nov. 30, 2022	Nov. 30, 2021
Other non-amortizable intangible assets	$ 15,216,000	$ 15,397,000	$ 15,216,000		$ 15,216,000
Amortization expense for intangible assets			22,700,000	$ 2,400,000	25,100,000	$ 4,600,000
Estimated amortization expense for period, 2023	45,600,000		45,600,000		45,600,000
Estimated amortization expense for period, 2024	90,800,000		90,800,000		90,800,000
Estimated amortization expense for period, 2025	90,300,000		90,300,000		90,300,000
Estimated amortization expense for period, 2026	90,200,000		90,200,000		90,200,000
Estimated amortization expense for period, 2027	89,700,000		89,700,000		89,700,000
Finite-lived intangible asset, expected amortization, after year four	$ 1,220,000,000		1,220,000,000		$ 1,220,000,000
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		$ 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	13,423,000	13,604,000	13,423,000		$ 13,423,000
Other Intangible Assets
Other non-amortizable intangible assets	$ 1,224,000	$ 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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- Definition

Finite lived intangible assets amortization expense after year four.

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Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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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 of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in third 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 second 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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