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SEGMENT AND GEOGRAPHICAL INFORMATION - Revenue and Assets by Segment (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
Segment Reporting Information [Line Items]
Revenues	$ 1,525,452	$ 1,159,368	$ 1,084,385
Segment profit	521,370	322,546	305,986
Corporate expenses (2)	(1,117,295)	(929,767)	(865,288)
Other (income)/expense, net	1,071	6,046	5,223
Income before provision for income taxes	409,228	235,647	224,320
Assets	2,426,067	1,677,003	1,425,912
Operating Segments
Segment Reporting Information [Line Items]
Assets	893,241	717,005	716,036
Operating Segments | Corporate Finance
Segment Reporting Information [Line Items]
Revenues	802,853	646,788	607,333
Segment profit	250,513	179,660	193,603
Assets	575,241	403,147	403,928
Operating Segments | Financial Restructuring
Segment Reporting Information [Line Items]
Revenues	534,747	352,517	317,774
Segment profit	224,215	107,714	83,607
Assets	181,239	186,418	184,364
Operating Segments | Financial and Valuation Advisory
Segment Reporting Information [Line Items]
Revenues	187,852	160,063	159,278
Segment profit	46,642	35,172	28,776
Assets	136,761	127,440	127,744
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Corporate expenses (2)	(113,213)	(92,945)	(86,889)
Assets	$ 1,532,826	$ 959,998	709,876
Segment Reconciling Items
Segment Reporting Information [Line Items]
Other (income)/expense, net			$ (5,223)

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