Accumulated Other Comprehensive Income (Loss) - Changes in AOCI (Details) - USD ($) $ in Thousands	12 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2020
AOCI, Net of Tax [Roll Forward]
Beginning balance	$ 3,687,847	$ 3,235,202	$ 3,002,721
Other comprehensive (loss) income before reclassifications	79,090	185,701
Amounts reclassified from accumulated other comprehensive income (loss)	(2,061)	(1,433)
Other comprehensive income (loss), net of tax expense (benefit) of $36,242, $40,213 and $(35,132), respectively	77,029	184,268	(116,203)
Ending balance	3,308,196	3,687,847	3,235,202
Foreign Currency
AOCI, Net of Tax [Roll Forward]
Beginning balance	41,839	(26,343)
Other comprehensive (loss) income before reclassifications	(24,833)	68,182
Amounts reclassified from accumulated other comprehensive income (loss)	0	0
Other comprehensive income (loss), net of tax expense (benefit) of $36,242, $40,213 and $(35,132), respectively	(24,833)	68,182
Ending balance	17,006	41,839	(26,343)
Unrealized (Loss) Income on Interest Rate Hedges
AOCI, Net of Tax [Roll Forward]
Beginning balance	(7,308)	(112,718)
Other comprehensive (loss) income before reclassifications	102,057	106,843
Amounts reclassified from accumulated other comprehensive income (loss)	(2,061)	(1,433)
Other comprehensive income (loss), net of tax expense (benefit) of $36,242, $40,213 and $(35,132), respectively	99,996	105,410
Ending balance	92,688	(7,308)	(112,718)
Other
AOCI, Net of Tax [Roll Forward]
Beginning balance	(3,643)	(14,319)
Other comprehensive (loss) income before reclassifications	1,866	10,676
Amounts reclassified from accumulated other comprehensive income (loss)	0	0
Other comprehensive income (loss), net of tax expense (benefit) of $36,242, $40,213 and $(35,132), respectively	1,866	10,676
Ending balance	(1,777)	(3,643)	(14,319)
Other Accumulated Comprehensive (Loss) Income
AOCI, Net of Tax [Roll Forward]
Beginning balance	30,888	(153,380)	(39,152)
Other comprehensive income (loss), net of tax expense (benefit) of $36,242, $40,213 and $(35,132), respectively	77,029	184,268	(116,203)
Ending balance	$ 107,917	$ 30,888	$ (153,380)