Acquisitions (Details) - USD ($)			3 Months Ended			9 Months Ended	12 Months Ended
	Mar. 01, 2024	Mar. 20, 2023	May 31, 2024	Feb. 29, 2024	Nov. 30, 2023	Feb. 29, 2024	May 31, 2024	May 31, 2023	May 31, 2022
Acquisitions
Business Combination, Acquisition Related Costs							$ 500,000
Line of Credit	$ 0
Net income							46,300,000	$ 90,200,000	$ 78,700,000
Product support business
Acquisitions
Purchase price	725,000,000.0
Business Combination, Acquisition Related Costs	21,000,000.0		$ 73,000,000.0
Net income							6,800,000
Product support business | Bridge Financing Facility
Acquisitions
Interest Expense	6,100,000
Trax USA Corp
Acquisitions
Purchase price		$ 120,000,000.0
Business Combination, Acquisition Related Costs							$ 5,100,000
Business Combination, Consideration Transferred, Liabilities Incurred					$ 1,800,000
Deferred Compensation Arrangement with Individual, Compensation Expense				$ 6,300,000		$ 1,100,000
Escrow Deposit		12,000,000.0
Contingent consideration		20,000,000.0
Trax USA Corp | Trade Names
Acquisitions
Indefinite-Lived Intangible Assets Acquired		6,100,000
Trax USA Corp | Customer relationships
Acquisitions
Finite-Lived Intangible Assets Acquired	$ 95,700,000	$ 33,600,000
Acquired Finite-Lived Intangible Assets, Weighted Average Useful Life	12 years 6 months	12 years
Trax USA Corp | Developed technology
Acquisitions
Finite-Lived Intangible Assets Acquired	$ 83,300,000	$ 22,000,000.0
Acquired Finite-Lived Intangible Assets, Weighted Average Useful Life	20 years	20 years