Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	3 Months Ended						9 Months Ended
	Feb. 28, 2021	Nov. 30, 2020	Aug. 31, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Feb. 28, 2021	Feb. 29, 2020
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	$ 3,597,960	$ 3,604,804	$ 3,235,202	$ 3,104,970	$ 3,050,706	$ 3,002,721	$ 3,235,202	$ 3,002,721
Other comprehensive income (loss) before reclassifications	84,797	18,902	37,788	(57,621)	24,174	(23,179)
Amounts reclassified from accumulated other comprehensive loss	(358)	(359)	(358)	(358)	(358)	(295)
Other comprehensive income (loss), net of tax expense (benefit) of $25,805, $(17,178), $35,108 and $(19,381), respectively	84,439	18,543	37,430	(57,979)	23,816	(23,474)	140,412	(57,637)
Balance	3,816,510	3,597,960	3,604,804	3,324,309	3,104,970	3,050,706	3,816,510	3,324,309
Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance						(833)		(833)
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	3,563	603	(26,343)	(6,885)	(8,298)	(15,022)	(26,343)	(15,022)
Other comprehensive income (loss) before reclassifications	8,947	2,960	26,946	(4,039)	1,413	6,724
Amounts reclassified from accumulated other comprehensive loss	0	0	0	0	0	0
Other comprehensive income (loss), net of tax expense (benefit) of $25,805, $(17,178), $35,108 and $(19,381), respectively	8,947	2,960	26,946	(4,039)	1,413	6,724
Balance	12,510	3,563	603	(10,924)	(6,885)	(8,298)	12,510	(10,924)
Foreign Currency | Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance						0		0
Unrealized Income (Loss) on Interest Rate Hedges
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(86,651)	(102,234)	(112,718)	(24,126)	(46,529)	(18,389)	(112,718)	(18,389)
Other comprehensive income (loss) before reclassifications	75,850	15,942	10,842	(53,582)	22,761	(29,903)
Amounts reclassified from accumulated other comprehensive loss	(358)	(359)	(358)	(358)	(358)	(295)
Other comprehensive income (loss), net of tax expense (benefit) of $25,805, $(17,178), $35,108 and $(19,381), respectively	75,492	15,583	10,484	(53,940)	22,403	(30,198)
Balance	(11,159)	(86,651)	(102,234)	(78,066)	(24,126)	(46,529)	(11,159)	(78,066)
Unrealized Income (Loss) on Interest Rate Hedges | Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance						2,058		2,058
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(14,319)	(14,319)	(14,319)	(5,824)	(5,824)	(5,741)	(14,319)	(5,741)
Other comprehensive income (loss) before reclassifications	0	0	0	0	0	0
Amounts reclassified from accumulated other comprehensive loss	0	0	0	0	0	0
Other comprehensive income (loss), net of tax expense (benefit) of $25,805, $(17,178), $35,108 and $(19,381), respectively	0	0	0	0	0	0
Balance	(14,319)	(14,319)	(14,319)	(5,824)	(5,824)	(5,824)	(14,319)	(5,824)
Other | Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance						(83)		(83)
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(97,407)	(115,950)	(153,380)	(36,835)	(60,651)	(39,152)	(153,380)	(39,152)
Other comprehensive income (loss), net of tax expense (benefit) of $25,805, $(17,178), $35,108 and $(19,381), respectively	84,439	18,543	37,430	(57,979)	23,816	(23,474)
Balance	$ (12,968)	$ (97,407)	$ (115,950)	$ (94,814)	$ (36,835)	(60,651)	$ (12,968)	(94,814)
Total | Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance						$ 1,975		$ 1,975