Accumulated Other Comprehensive (loss) - Schedule of Accumulated other comprehensive (loss) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 28, 2025	Feb. 29, 2024	Feb. 28, 2025	Feb. 29, 2024
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	$ 2,717,650	$ 2,362,554	$ 2,512,225	$ 2,143,000
Ending Balance	2,675,782	2,348,213	2,675,782	2,348,213
Foreign Currency Translation Adjustments
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	(507,964)	(456,577)	(461,847)	(465,375)
Current period comprehensive (loss) income	(21,201)	(6,720)	(65,159)	2,397
Income taxes associated with current period comprehensive (loss) income	1,542	(872)	1,473	(1,191)
Income taxes reclassified into earnings			(2,090)
Ending Balance	(527,623)	(464,169)	(527,623)	(464,169)
Pension And Other Postretirement Benefit Liability Adjustments, Net of Tax
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	(82,589)	(142,154)	(84,647)	(148,764)
Current period comprehensive (loss) income			(1,521)
Amounts reclassified from accumulated other comprehensive income (loss)	2,697	4,391	7,431	13,013
Income taxes reclassified into earnings	(688)	(1,035)	(1,843)	(3,047)
Ending Balance	(80,580)	(138,798)	(80,580)	(138,798)
Unrealized Gain (Loss) On Derivatives, Net of Tax
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	11,405	11,405	11,405	11,405
Ending Balance	11,405	11,405	11,405	11,405
Unrealized Gain (Loss) On Securities, Net of Tax
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	(1,615)	(2,364)	(2,201)	(2,201)
Current period comprehensive (loss) income	128	211	1,036	289
Income taxes associated with current period comprehensive (loss) income	(2)	(8)	(85)	(70)
Amounts reclassified from accumulated other comprehensive income (loss)	(3)	(7)	(279)	(197)
Income taxes reclassified into earnings		1	37	12
Ending Balance	(1,492)	(2,167)	(1,492)	(2,167)
Accumulated Other Comprehensive Income (Loss)
Accumulated Other Comprehensive Income (Loss) [Line Items]
Beginning Balance	(580,763)	(589,690)	(537,290)	(604,935)
Current period comprehensive (loss) income	(21,073)	(6,509)	(65,644)	2,686
Income taxes associated with current period comprehensive (loss) income	1,540	(880)	1,388	(1,261)
Amounts reclassified from accumulated other comprehensive income (loss)	2,694	4,384	7,152	12,816
Income taxes reclassified into earnings	(688)	(1,034)	(3,896)	(3,035)
Ending Balance	$ (598,290)	$ (593,729)	$ (598,290)	$ (593,729)