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, 2022	Nov. 30, 2021	Aug. 31, 2021	Feb. 28, 2021	Nov. 30, 2020	Aug. 31, 2020	Feb. 28, 2022	Feb. 28, 2021
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	$ 3,563,127	$ 3,309,203	$ 3,687,847	$ 3,597,960	$ 3,604,804	$ 3,235,202	$ 3,687,847	$ 3,235,202
Other comprehensive income (loss) before reclassifications	39,864	3,468	(60,695)	84,797	18,902	37,788
Amounts reclassified from accumulated other comprehensive income (loss)	(459)	(460)	(459)	(358)	(359)	(358)
Other comprehensive income (loss), net of tax expense of $11,981, $25,805, $3,467 and $35,108, respectively	39,405	3,008	(61,154)	84,439	18,543	37,430	(18,741)	140,412
Balance	3,293,900	3,563,127	3,309,203	3,816,510	3,597,960	3,604,804	3,293,900	3,816,510
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	10,351	17,823	41,839	3,563	603	(26,343)	41,839	(26,343)
Other comprehensive income (loss) before reclassifications	5,297	(7,472)	(24,016)	8,947	2,960	26,946
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0	0	0
Other comprehensive income (loss), net of tax expense of $11,981, $25,805, $3,467 and $35,108, respectively	5,297	(7,472)	(24,016)	8,947	2,960	26,946
Balance	15,648	10,351	17,823	12,510	3,563	603	15,648	12,510
Unrealized (Loss) Income on Interest Rate Locks
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(33,966)	(44,446)	(7,308)	(86,651)	(102,234)	(112,718)	(7,308)	(112,718)
Other comprehensive income (loss) before reclassifications	34,567	10,940	(36,679)	75,850	15,942	10,842
Amounts reclassified from accumulated other comprehensive income (loss)	(459)	(460)	(459)	(358)	(359)	(358)
Other comprehensive income (loss), net of tax expense of $11,981, $25,805, $3,467 and $35,108, respectively	34,108	10,480	(37,138)	75,492	15,583	10,484
Balance	142	(33,966)	(44,446)	(11,159)	(86,651)	(102,234)	142	(11,159)
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(3,643)	(3,643)	(3,643)	(14,319)	(14,319)	(14,319)	(3,643)	(14,319)
Other comprehensive income (loss) before reclassifications	0	0	0	0	0	0
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0	0	0
Other comprehensive income (loss), net of tax expense of $11,981, $25,805, $3,467 and $35,108, respectively	0	0	0	0	0	0
Balance	(3,643)	(3,643)	(3,643)	(14,319)	(14,319)	(14,319)	(3,643)	(14,319)
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(27,258)	(30,266)	30,888	(97,407)	(115,950)	(153,380)	30,888	(153,380)
Other comprehensive income (loss), net of tax expense of $11,981, $25,805, $3,467 and $35,108, respectively	39,405	3,008	(61,154)	84,439	18,543	37,430
Balance	$ 12,147	$ (27,258)	$ (30,266)	$ (12,968)	$ (97,407)	$ (115,950)	$ 12,147	$ (12,968)