Stock-Based Compensation - Narrative (Detail) - USD ($)			3 Months Ended	6 Months Ended
	Mar. 08, 2022	Dec. 17, 2021	Mar. 31, 2022	Mar. 31, 2022
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost			$ 43,100,000	$ 43,100,000
Remaining unrecognised compensation cost is expected to be recognised over a weighted average period				9 months 18 days
RSUs | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period (in years)				3 months
RSUs | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period (in years)				3 years
Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost			4,400,000	$ 4,400,000
Remaining unrecognised compensation cost is expected to be recognised over a weighted average period				10 months 24 days
Expiration period (in years)				10 years
Options granted in the period (in shares)				1,038,866
Options granted in the period, Weighted average exercise price (in dollars per share)				$ 18.05
Options granted in the period, Weighted average grant date fair value (in dollars per share)				$ 7.06
Options vested in the period (in shares)				0
Options forfeited in the period (in shares)				58,651
Options outstanding, intrinsic value			$ 0	$ 0
Expected dividend yield				0.00%
Options | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Options exercisable period (in years)				one
Options | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Options exercisable period (in years)				three years
Omnibus Incentive Plan 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares authorized (in shares)			22,694,608	22,694,608
Profits Interest Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Dividends declared per share (in dollars per share)	$ 0.04	$ 0.04
Dividends recalled per share (in dollars per share)				$ 0.08
Profits Interest Plan | Profits Interest Units | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period (in years)				1 year
Profits Interest Plan | Profits Interest Units | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period (in years)				5 years
Profits Interest Plan | Service-Based Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost			$ 22,400,000	$ 22,400,000
Remaining unrecognised compensation cost is expected to be recognised over a weighted average period				8 months 12 days
Profits Interest Plan | Hybrid Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost			5,100,000	$ 5,100,000
Remaining unrecognised compensation cost is expected to be recognised over a weighted average period				8 months 12 days
ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Incentive compensation plan expense			$ 9,077,843
ESPP | ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase price of common stock, percent				85.00%
ESPP | ESPP | Class A Common Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares issued in period (in shares)				0