Acquisitions - Purchase Price Allocation for Other Acquisitions (Details) - USD ($) $ in Thousands	May 31, 2022	May 31, 2021	May 31, 2020
Business Acquisition [Line Items]
Net goodwill recognized	$ 3,042,976	$ 2,913,069	$ 2,870,020
Series of Individually Immaterial Business Acquisitions
Business Acquisition [Line Items]
Fair value of tangible assets acquired	37,412	609
Fair value of service contracts acquired	44,738	5,466
Fair value of other intangibles acquired	6,045	552
Fair value of operating lease right-of-use assets, net	16,882	0
Net goodwill recognized	144,105	8,352
Total fair value of assets acquired	249,182	14,979
Fair value of liabilities assumed	(23,720)	(4,941)
Fair value of operating lease liabilities	(17,734)	0
Total fair value of liabilities assumed	(41,454)	(4,941)
Total consideration for acquisitions, net of cash acquired	$ 207,728	$ 10,038