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Interim Financial Statements - Additional Information (Detail)		3 Months Ended		9 Months Ended
	Jan. 08, 2025 USD ($)	May 31, 2025 USD ($) shares	May 31, 2024 shares	May 31, 2025 USD ($) Segment shares	May 31, 2024 USD ($) shares
Equity Class Of Treasury Stock [Line Items]
Number of reportable segments \| Segment				2
Authorized amount under stock repurchase program		$ 100,000,000		$ 100,000,000
Remaining authorized repurchase amount	$ 100,000,000	$ 78,200,000		$ 78,200,000
Number of shares repurchased \| shares		507,000	0	507,000	38,000
Number of shares repurchased amount		$ 21,800,000		$ 21,800,000	$ 1,300,000
Repurchase program expiration date	Jan. 31, 2027			Jan. 31, 2025
Manufacturing
Equity Class Of Treasury Stock [Line Items]
Number of reportable segments \| Segment				1