Consolidated Statements of Changes in Shareholders' Equity - USD ($) $ in Thousands	Total	Forward Foreign Currency Exchange Contracts [Member]	Interest Rate Swap Agreements [Member]	Common Stock [Member]	Retained Earnings [Member]	AOCI Attributable to Parent [Member]	AOCI Attributable to Parent [Member] Forward Foreign Currency Exchange Contracts [Member]	AOCI Attributable to Parent [Member] Interest Rate Swap Agreements [Member]	Noncontrolling Interest [Member]
Balance at beginning of year at Mar. 31, 2021	$ 1,348,425			$ 326,673	$ 1,087,663	$ (107,037)			$ 41,126
Balance at beginning of year, shares at Mar. 31, 2021	24,514,867
Changes in preferred and common stock
Repurchase of stock	$ (782)			(782)
Issuance of stock, shares	93,416
Repurchase of stock, shares	(58,264)
Accrual of stock-based compensation	$ 6,187			6,187
Withholding of shares from stock-based compensation for grantee income taxes	(2,486)			(2,486)
Dividend equivalents on RSUs	1,070			1,070
Changes in retained earnings
Net income	103,604				86,577				17,027
Cash dividends declared
Common stock	$ (76,707)				(76,707)
Common stock, cash dividends declared per share	$ 3.12
Stock Repurchased And Retired During Period Value Retained Earnings	$ 2,271				2,271
Dividend equivalents on RSUs	(1,070)				(1,070)
Other comprehensive income (loss)
Foreign currency translation, net of income taxes	(6,367)					(5,830)			(537)
hedges, net of income tax		$ 3,993	$ 18,620				$ 3,993	$ 18,620
Pension and other postretirement benefit plans, net of income taxes	5,943					5,943
Other changes in noncontrolling interests
Dividends paid to noncontrolling shareholders	(13,390)								(13,390)
Balance at end of year at Mar. 31, 2022	$ 1,384,769			330,662	1,094,192	(84,311)			44,226
Balance at end of year, shares at Mar. 31, 2022	24,550,019
Changes in preferred and common stock
Repurchase of stock	$ (893)			(893)
Issuance of stock, shares	71,466
Repurchase of stock, shares	(66,124)
Accrual of stock-based compensation	$ 8,420			8,420
Withholding of shares from stock-based compensation for grantee income taxes	(2,090)			(2,090)
Dividend equivalents on RSUs	1,148			1,148
Changes in retained earnings
Net income	130,236				124,052				6,184
Cash dividends declared
Common stock	$ (77,643)				(77,643)
Common stock, cash dividends declared per share	$ 3.16
Stock Repurchased And Retired During Period Value Retained Earnings	$ 2,555				2,555
Dividend equivalents on RSUs	(1,148)				(1,148)
Other comprehensive income (loss)
Foreign currency translation, net of income taxes	(3,166)					(3,268)			102
hedges, net of income tax		1,320	6,113				1,320	6,113
Pension and other postretirement benefit plans, net of income taxes	3,089					3,089
Other changes in noncontrolling interests
Dividends paid to noncontrolling shareholders	(10,221)								(10,221)
Other	(427)								(427)
Balance at end of year at Mar. 31, 2023	$ 1,436,952			337,247	1,136,898	(77,057)			39,864
Balance at end of year, shares at Mar. 31, 2023	24,555,361
Changes in preferred and common stock
Repurchase of stock	$ (1,373)			(1,373)
Issuance of stock, shares	118,047
Repurchase of stock, shares	(100,000)
Accrual of stock-based compensation	$ 12,063			12,063
Withholding of shares from stock-based compensation for grantee income taxes	(3,607)			(3,607)
Dividend equivalents on RSUs	1,266			1,266
Changes in retained earnings
Net income	132,971				119,598				13,373
Cash dividends declared
Common stock	$ (78,663)				(78,663)
Common stock, cash dividends declared per share	$ 3.20
Stock Repurchased And Retired During Period Value Retained Earnings	$ 3,371				3,371
Dividend equivalents on RSUs	(1,266)				(1,266)
Other comprehensive income (loss)
Foreign currency translation, net of income taxes	(1,531)					(582)			(949)
hedges, net of income tax		$ (5,515)	$ 3,235				$ (5,515)	$ 3,235
Pension and other postretirement benefit plans, net of income taxes	(1,666)					(1,666)
Other changes in noncontrolling interests
Dividends paid to noncontrolling shareholders	(10,572)								(10,572)
Balance at end of year at Mar. 31, 2024	$ 1,478,923			$ 345,596	$ 1,173,196	$ (81,585)			$ 41,716
Balance at end of year, shares at Mar. 31, 2024	24,573,408