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, 2022	Aug. 31, 2022	Nov. 30, 2021	Aug. 31, 2021	Nov. 30, 2022	Nov. 30, 2021
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	$ 3,229,626	$ 3,308,196	$ 3,309,203	$ 3,687,847	$ 3,308,196	$ 3,687,847
Other comprehensive (loss) income before reclassifications	(2,507)	(18,272)	3,468	(60,695)
Amounts reclassified from accumulated other comprehensive income (loss)	(1,521)	(1,521)	(460)	(459)
Other comprehensive (loss) income, net of tax expense (benefit) of $3,044, $3,892, $3,876 and $(8,514), respectively	(4,028)	(19,793)	3,008	(61,154)	(23,821)	(58,146)
Ending balance	3,430,538	3,229,626	3,563,127	3,309,203	3,430,538	3,563,127
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	88,124	107,917	(30,266)	30,888	107,917	30,888
Other comprehensive (loss) income, net of tax expense (benefit) of $3,044, $3,892, $3,876 and $(8,514), respectively	(4,028)	(19,793)	3,008	(61,154)
Ending balance	84,096	88,124	(27,258)	(30,266)	84,096	(27,258)
Foreign Currency
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(2,200)	17,006	17,823	41,839	17,006	41,839
Other comprehensive (loss) income before reclassifications	(9,901)	(19,206)	(7,472)	(24,016)
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive (loss) income, net of tax expense (benefit) of $3,044, $3,892, $3,876 and $(8,514), respectively	(9,901)	(19,206)	(7,472)	(24,016)
Ending balance	(12,101)	(2,200)	10,351	17,823	(12,101)	10,351
Unrealized Income (Loss) on Interest Rate Locks
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	92,101	92,688	(44,446)	(7,308)	92,688	(7,308)
Other comprehensive (loss) income before reclassifications	7,394	934	10,940	(36,679)
Amounts reclassified from accumulated other comprehensive income (loss)	(1,521)	(1,521)	(460)	(459)
Other comprehensive (loss) income, net of tax expense (benefit) of $3,044, $3,892, $3,876 and $(8,514), respectively	5,873	(587)	10,480	(37,138)
Ending balance	97,974	92,101	(33,966)	(44,446)	97,974	(33,966)
Other
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(1,777)	(1,777)	(3,643)	(3,643)	(1,777)	(3,643)
Other comprehensive (loss) income before reclassifications	0	0	0	0
Amounts reclassified from accumulated other comprehensive income (loss)	0	0	0	0
Other comprehensive (loss) income, net of tax expense (benefit) of $3,044, $3,892, $3,876 and $(8,514), respectively	0	0	0	0
Ending balance	$ (1,777)	$ (1,777)	$ (3,643)	$ (3,643)	$ (1,777)	$ (3,643)