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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Goodwill and Other Intangible Assets - Additional Information (Detail) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Nov. 30, 2023	Nov. 30, 2022	Nov. 30, 2023	Nov. 30, 2022	May 31, 2023
Amortization expense for intangible assets	$ 23,693	$ 22,687	$ 47,397	$ 25,069
Estimated amortization expense for period, 2024	95,000		95,000
Estimated amortization expense for period, 2028	$ 97,000		$ 97,000
Maximum
Finite lived intangible assets, useful life	25 years		25 years
Minimum
Finite lived intangible assets, useful life	2 years		2 years
Licenses
Other non-amortizable intangible assets					$ 569
Licenses \| Maximum
Finite lived intangible assets, useful life	20 years		20 years
Licenses \| Minimum
Finite lived intangible assets, useful life	2 years		2 years
Trademarks
Other non-amortizable intangible assets					12,522
Other Intangible Assets
Other non-amortizable intangible assets					$ 1,224
Noncompete Agreements \| Maximum
Finite lived intangible assets, useful life	10 years		10 years
Noncompete Agreements \| Minimum
Finite lived intangible assets, useful life	3 years		3 years
Patents \| Maximum
Finite lived intangible assets, useful life	25 years		25 years
Patents \| Minimum
Finite lived intangible assets, useful life	5 years		5 years
Other products and service-related intangibles \| Maximum
Finite lived intangible assets, useful life	15 years		15 years
Other products and service-related intangibles \| Minimum
Finite lived intangible assets, useful life	5 years		5 years
Customer relationships \| Maximum
Finite lived intangible assets, useful life	20 years		20 years
Customer relationships \| Minimum
Finite lived intangible assets, useful life	9 years		9 years
Trade names and trademarks \| Maximum
Finite lived intangible assets, useful life	25 years		25 years
Trade names and trademarks \| Minimum
Finite lived intangible assets, useful life	5 years		5 years
Developed technology \| Maximum
Finite lived intangible assets, useful life	20 years		20 years
Developed technology \| Minimum
Finite lived intangible assets, useful life	10 years		10 years