Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	3 Months Ended				6 Months Ended
	Nov. 30, 2023	Aug. 31, 2023	Nov. 30, 2022	Aug. 31, 2022	Nov. 30, 2023	Nov. 30, 2022
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	$ 4,077,635	$ 3,863,986	$ 3,229,626	$ 3,308,196	$ 3,863,986	$ 3,308,196
Other comprehensive (loss) income before reclassifications	7,665	10,833	(2,507)	(18,272)
Amounts reclassified from accumulated other comprehensive income (loss)	(1,495)	(1,442)	(1,521)	(1,521)
Other comprehensive income (loss), net of tax expense of $2,742, $2,018, $5,061 and $1,826, respectively	6,170	9,391	(4,028)	(19,793)	15,561	(23,821)
Ending balance	3,994,481	4,077,635	3,430,538	3,229,626	3,994,481	3,430,538
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	87,169	77,778	88,124	107,917	77,778	107,917
Other comprehensive income (loss), net of tax expense of $2,742, $2,018, $5,061 and $1,826, respectively	6,170	9,391	(4,028)	(19,793)
Ending balance	93,339	87,169	84,096	88,124	93,339	84,096
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(14,367)	(17,001)	(2,200)	17,006	(17,001)	17,006
Other comprehensive (loss) income before reclassifications	(1,813)	2,634	(9,901)	(19,206)
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive income (loss), net of tax expense of $2,742, $2,018, $5,061 and $1,826, respectively	(1,813)	2,634	(9,901)	(19,206)
Ending balance	(16,180)	(14,367)	(12,101)	(2,200)	(16,180)	(12,101)
Unrealized Income on Interest Rate Locks
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	103,471	96,714	92,101	92,688	96,714	92,688
Other comprehensive (loss) income before reclassifications	9,099	8,199	7,394	934
Amounts reclassified from accumulated other comprehensive income (loss)	(1,495)	(1,442)	(1,521)	(1,521)
Other comprehensive income (loss), net of tax expense of $2,742, $2,018, $5,061 and $1,826, respectively	7,604	6,757	5,873	(587)
Ending balance	111,075	103,471	97,974	92,101	111,075	97,974
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(1,935)	(1,935)	(1,777)	(1,777)	(1,935)	(1,777)
Other comprehensive (loss) income before reclassifications	379	0	0	0
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive income (loss), net of tax expense of $2,742, $2,018, $5,061 and $1,826, respectively	379	0	0	0
Ending balance	$ (1,556)	$ (1,935)	$ (1,777)	$ (1,777)	$ (1,556)	$ (1,777)