Income Taxes - Additional Information (Details) - USD ($)	12 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020	Dec. 15, 2020
Business Acquisition [Line Items]
Effective tax rate	26.40%	21.20%	22.20%
Increase in provision due to state tax expense impact (net of federal benefits)	$ 4,765,000	$ 2,419,000	$ 1,943,000
Increase in effective tax rate due to state tax expense impact (net of federal benefits)	5.20%	4.80%
Nondeductible executive compensation	$ 992,000	$ 248,000	0
Effective income tax rate reconciliation, limitation, effective tax rate	1.10%
Uncertain tax positions	$ 759,000	$ (4,717,000)	(1,615,000)
Effective income tax rate reconciliation, tax contingency, percent	0.80%	(9.30%)
Vesting of stock-based compensation	$ (1,916,000)	$ (741,000)	(542,000)
Share-based payment arrangement, percent	(2.10%)
Increase in provision due to additional non-deductible expenses	$ (143,000)	$ 1,931,000	$ (4,000)
Increase in effective tax rate due to additional non-deductible expenses		2.10%
Tax effected net operating loss carryforwards, net of valuation allowances	0	$ 0
Earnings related to foreign subsidiaries for which taxes are not provided	16,600,000
Unrecognized tax benefits, decrease resulting from prior period tax positions	(314,000)	(4,215,000)
Interest accrued		100,000
Penalties accrued		200,000
Tax contingency reserves		200,000
Effective income tax rate reconciliation, tax settlement, amount		5,300,000
Accrued interest on uncertain tax positions, period increase (decrease)		600,000
Accrued penalties on uncertain tax positions, period increase (decrease)		600,000
TRUaire acquisition
Business Acquisition [Line Items]
Interest accrued	600,000	1,400,000
Penalties accrued	500,000	2,300,000
Tax contingency reserves	$ 17,321,000	17,300,000		$ 22,511,000
Unrecognized tax benefit related to acquisition		$ 13,600,000