Income Taxes - Provision (Benefit) for Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Components of Income (loss) before income taxes
Domestic (U.S.)	$ 31,937	$ 95,639	$ 141,582
Foreign (Outside U.S.)	47,894	74,792	45,485
Income before income taxes and equity income (loss) from equity method investments	79,831	170,431	187,067
Current:
Federal	3,387	170	223
State and local	522	161	50
Foreign	10,288	9,966	8,295
Total current income tax expense	14,197	10,297	8,568
Deferred:
Federal	16,486	(43,804)	(807)
State and local	871	(773)	(96)
Foreign	6,972	(5,180)	1,467
Deferred tax expense (benefit)	24,329	(49,757)	564
Provision for income tax expense (benefit)	$ 38,526	$ (39,460)	$ 9,132