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Quarterly Financial Information (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Thousands	1 Months Ended	3 Months Ended								12 Months Ended
	Mar. 31, 2017	Mar. 31, 2020	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Class of Stock [Line Items]
Total revenues		$ 76,932	$ 68,138	$ 64,292	$ 64,686	$ 66,988	$ 65,996	$ 55,833	$ 63,362	$ 274,048	$ 252,179	$ 244,033
Total expenses		43,313	39,246	37,367	37,693	38,060	37,759	34,466	37,670	157,619	147,955	121,080
Net income		38,613	28,437	32,273	27,453	20,407	22,915	32,572	23,103	126,776	98,997	106,297
Net income attributable to HLI		$ 20,648	$ 13,497	$ 15,299	$ 11,381	$ 8,048	$ 5,458	$ 11,222	$ 8,845	$ 60,825	$ 33,573	$ 17,341
Common Class A
Earnings per share of Class A common stock:
Basic (in dollars per share)	$ 0.94	$ 0.71	$ 0.46	$ 0.56	$ 0.43	$ 0.32	$ 0.22	$ 0.49	$ 0.40	$ 2.17	$ 1.41	$ 0.94
Diluted (in dollars per share)	$ 0.93	$ 0.70	$ 0.46	$ 0.56	$ 0.42	$ 0.31	$ 0.22	$ 0.49	$ 0.39	$ 2.15	$ 1.40	$ 0.93

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