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, 2023	Nov. 30, 2022	Aug. 31, 2022	Feb. 28, 2022	Nov. 30, 2021	Aug. 31, 2021	Feb. 28, 2023	Feb. 28, 2022
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	$ 3,430,538	$ 3,229,626	$ 3,308,196	$ 3,563,127	$ 3,309,203	$ 3,687,847	$ 3,308,196	$ 3,687,847
Other comprehensive (loss) income before reclassifications	(6,471)	(2,507)	(18,272)	39,864	3,468	(60,695)
Amounts reclassified from accumulated other comprehensive income (loss)	(1,521)	(1,521)	(1,521)	(459)	(460)	(459)
Other comprehensive (loss) income, net of tax expense of $1, $11,683, $1,827 and $2,577, respectively	(7,992)	(4,028)	(19,793)	39,405	3,008	(61,154)	(31,813)	(18,741)
Ending balance	3,633,256	3,430,538	3,229,626	3,293,900	3,563,127	3,309,203	3,633,256	3,293,900
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	84,096	88,124	107,917	(27,258)	(30,266)	30,888	107,917	30,888
Other comprehensive (loss) income, net of tax expense of $1, $11,683, $1,827 and $2,577, respectively	(7,992)	(4,028)	(19,793)	39,405	3,008	(61,154)
Ending balance	76,104	84,096	88,124	12,147	(27,258)	(30,266)	76,104	12,147
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(12,101)	(2,200)	17,006	10,351	17,823	41,839	17,006	41,839
Other comprehensive (loss) income before reclassifications	(7,972)	(9,901)	(19,206)	5,297	(7,472)	(24,016)
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0	0	0
Other comprehensive (loss) income, net of tax expense of $1, $11,683, $1,827 and $2,577, respectively	(7,972)	(9,901)	(19,206)	5,297	(7,472)	(24,016)
Ending balance	(20,073)	(12,101)	(2,200)	15,648	10,351	17,823	(20,073)	15,648
Unrealized Income (Loss) on Interest Rate Locks
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	97,974	92,101	92,688	(33,966)	(44,446)	(7,308)	92,688	(7,308)
Other comprehensive (loss) income before reclassifications	1,501	7,394	934	34,567	10,940	(36,679)
Amounts reclassified from accumulated other comprehensive income (loss)	(1,521)	(1,521)	(1,521)	(459)	(460)	(459)
Other comprehensive (loss) income, net of tax expense of $1, $11,683, $1,827 and $2,577, respectively	(20)	5,873	(587)	34,108	10,480	(37,138)
Ending balance	97,954	97,974	92,101	142	(33,966)	(44,446)	97,954	142
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(1,777)	(1,777)	(1,777)	(3,643)	(3,643)	(3,643)	(1,777)	(3,643)
Other comprehensive (loss) income before reclassifications	0	0	0	0	0	0
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0	0	0
Other comprehensive (loss) income, net of tax expense of $1, $11,683, $1,827 and $2,577, respectively	0	0	0	0	0	0
Ending balance	$ (1,777)	$ (1,777)	$ (1,777)	$ (3,643)	$ (3,643)	$ (3,643)	$ (1,777)	$ (3,643)