Stockholders' and Members' Equity - Narrative (Details) $ / shares in Units, $ in Thousands				3 Months Ended		6 Months Ended		12 Months Ended
	Oct. 02, 2023 intallment shares	Oct. 01, 2023 intallment shares	Feb. 23, 2021 shares	Mar. 31, 2023 USD ($) $ / shares shares	Mar. 31, 2022 USD ($)	Mar. 31, 2023 USD ($) $ / shares shares	Mar. 31, 2022 USD ($) shares	Mar. 31, 2023 USD ($) $ / shares shares	Mar. 30, 2022 USD ($)
Share-Based Payment Arrangement [Abstract]
Percentage of expected performance targets to be achieved target award				100.00%		100.00%		100.00%
Authorized amount | $									$ 50,000
Repurchase and retirement of shares amount | $				$ 1,579
Stock repurchase program, remaining authorized repurchase amount | $				48,100		$ 48,100		$ 48,100
Equity-based awards | $						5,063	$ 4,813
Employee Stock Purchase Plan
Share-Based Payment Arrangement [Abstract]
Equity-based awards | $				200		400
Stock to be purchased under ESPP | $						$ 500
Performance Shares
Share-Based Payment Arrangement [Abstract]
Awarded (in shares) | shares						83,036
Percentage of target award granted						100.00%
Number of shares of common stock consisted in each unit (in shares) | shares						1
Share-based payment arrangement, expense | $				1,100	$ 1,700	$ 2,200	$ 2,700
Performance Shares | Forecast
Share-Based Payment Arrangement [Abstract]
Awarded (in shares) | shares	69,748	13,288
Number of equal annual installments for vesting | intallment	3
Time-Based Restricted Stock Units
Share-Based Payment Arrangement [Abstract]
Awarded (in shares) | shares							133,735
Time-Based Restricted Stock Units | Forecast
Share-Based Payment Arrangement [Abstract]
Awarded (in shares) | shares	111,185	22,550
Number of equal annual installments for vesting | intallment		3
Restricted Stock Units
Share-Based Payment Arrangement [Abstract]
Awarded (in shares) | shares						216,771,000
Share-based payment arrangement, expense | $				2,300	$ 2,700	$ 4,700	$ 4,800
Nonvested award | $				$ 8,100		$ 8,100		$ 8,100
Cost not yet recognized, period for recognition						1 year 3 months 18 days
Employee Stock Purchase Plan
Share-Based Payment Arrangement [Abstract]
Shares issued as part of employee stock purchase plan (in shares) | shares						43,692
Shares issued (in shares) | $ / shares				$ 24.31		$ 24.31		$ 24.31
Class A Common Stock
Share-Based Payment Arrangement [Abstract]
Capital shares reserved for future issuance (in shares) | shares				1,573,446		1,573,446		1,573,446
Repurchased and retired shares (in shares) | shares						63,353		73,487
Repurchase and retirement of shares amount | $						$ 1,600		$ 1,900
Percentage of outstanding shares, ESPP issuance			1.00%
Class A Common Stock | Maximum
Share-Based Payment Arrangement [Abstract]
Shares issued as part of employee stock purchase plan (in shares) | shares			449,257