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Earnings per Share - Schedule of Earnings Per Share - Basic and Diluted (Details) - Common Class A - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 9 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Net income attributable to HLI        
Basic EPS of Class A common stock $ 13,497 $ 5,458   $ 25,525
Assumed vesting of employee awards 88 59 $ 267 327
Diluted EPS of Class A common stock $ 13,585 $ 5,517 $ 40,444 $ 25,852
Weighted-Average Shares        
Weighted-average basic EPS of Class A common stock (in shares) 29,185,039 25,051,094 27,710,607 23,329,134
Weighted-average assumed vesting of employee awards (in shares) 423,167 523,724 386,988 541,483
Weighted-average diluted EPS of Class A common stock (in shares) 29,608,206 25,574,818 28,097,595 23,870,617
Per share amount        
Basic EPS of Class A common stock (in dollars per share) $ 0.46 $ 0.22 $ 1.45 $ 1.09
Diluted EPS of Class A common stock (in dollars per share) $ 0.46 $ 0.22 $ 1.44 $ 1.08