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, 2021	Aug. 31, 2021	Nov. 30, 2020	Aug. 31, 2020	Nov. 30, 2021	Nov. 30, 2020
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	$ 3,309,203	$ 3,687,847	$ 3,604,804	$ 3,235,202	$ 3,687,847	$ 3,235,202
Other comprehensive income (loss) before reclassifications	3,468	(60,695)	18,902	37,788
Amounts reclassified from accumulated other comprehensive income (loss)	(460)	(459)	(359)	(358)
Other comprehensive income (loss), net of tax expense (benefit) of $3,892, $5,515, $(8,514) and $9,303, respectively	3,008	(61,154)	18,543	37,430	(58,146)	55,973
Balance	3,563,127	3,309,203	3,597,960	3,604,804	3,563,127	3,597,960
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	17,823	41,839	603	(26,343)	41,839	(26,343)
Other comprehensive income (loss) before reclassifications	(7,472)	(24,016)	2,960	26,946
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive income (loss), net of tax expense (benefit) of $3,892, $5,515, $(8,514) and $9,303, respectively	(7,472)	(24,016)	2,960	26,946
Balance	10,351	17,823	3,563	603	10,351	3,563
Unrealized Loss on Interest Rate Locks
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(44,446)	(7,308)	(102,234)	(112,718)	(7,308)	(112,718)
Other comprehensive income (loss) before reclassifications	10,940	(36,679)	15,942	10,842
Amounts reclassified from accumulated other comprehensive income (loss)	(460)	(459)	(359)	(358)
Other comprehensive income (loss), net of tax expense (benefit) of $3,892, $5,515, $(8,514) and $9,303, respectively	10,480	(37,138)	15,583	10,484
Balance	(33,966)	(44,446)	(86,651)	(102,234)	(33,966)	(86,651)
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(3,643)	(3,643)	(14,319)	(14,319)	(3,643)	(14,319)
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 (loss), net of tax expense (benefit) of $3,892, $5,515, $(8,514) and $9,303, respectively	0	0	0	0
Balance	(3,643)	(3,643)	(14,319)	(14,319)	(3,643)	(14,319)
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance	(30,266)	30,888	(115,950)	(153,380)	30,888	(153,380)
Other comprehensive income (loss), net of tax expense (benefit) of $3,892, $5,515, $(8,514) and $9,303, respectively	3,008	(61,154)	18,543	37,430
Balance	$ (27,258)	$ (30,266)	$ (97,407)	$ (115,950)	$ (27,258)	$ (97,407)