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, 2020	Aug. 31, 2020	Nov. 30, 2019	Aug. 31, 2019	Nov. 30, 2020	Nov. 30, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	$ 3,604,804	$ 3,235,202	$ 3,050,706	$ 3,002,721	$ 3,235,202	$ 3,002,721
Other comprehensive income (loss) before reclassifications	18,902	37,788	24,174	(23,179)
Amounts reclassified from accumulated other comprehensive income (loss)	(359)	(358)	(358)	(295)
Other comprehensive income, net of tax expense (benefit) of $5,515, $7,462, $9,303 and $(2,203), respectively	18,543	37,430	23,816	(23,474)	55,973	342
Balance	3,597,960	3,604,804	3,104,970	3,050,706	3,597,960	3,104,970
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	603	(26,343)	(8,298)	(15,022)	(26,343)	(15,022)
Other comprehensive income (loss) before reclassifications	2,960	26,946	1,413	6,724
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive income, net of tax expense (benefit) of $5,515, $7,462, $9,303 and $(2,203), respectively	2,960	26,946	1,413	6,724
Balance	3,563	603	(6,885)	(8,298)	3,563	(6,885)
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	(102,234)	(112,718)	(46,529)	(18,389)	(112,718)	(18,389)
Other comprehensive income (loss) before reclassifications	15,942	10,842	22,761	(29,903)
Amounts reclassified from accumulated other comprehensive income (loss)	(359)	(358)	(358)	(295)
Other comprehensive income, net of tax expense (benefit) of $5,515, $7,462, $9,303 and $(2,203), respectively	15,583	10,484	22,403	(30,198)
Balance	(86,651)	(102,234)	(24,126)	(46,529)	(86,651)	(24,126)
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)	(5,824)	(5,741)	(14,319)	(5,741)
Other comprehensive income (loss) before reclassifications	0	0	0	0
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive income, net of tax expense (benefit) of $5,515, $7,462, $9,303 and $(2,203), respectively	0	0	0	0
Balance	(14,319)	(14,319)	(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	(115,950)	(153,380)	(60,651)	(39,152)	(153,380)	(39,152)
Other comprehensive income, net of tax expense (benefit) of $5,515, $7,462, $9,303 and $(2,203), respectively	18,543	37,430	23,816	(23,474)
Balance	$ (97,407)	$ (115,950)	$ (36,835)	(60,651)	$ (97,407)	(36,835)
Total | Cumulative Effect, Period of Adoption, Adjustment
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance				$ 1,975		$ 1,975