Upon vesting, each performance share unit equals to common stock of the entity.

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The percentage of expected the performance targets to be fully achieved of the target award

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The percentage of target granted for award eligible to be earned based on relative performance.

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The number of equal installments for share-based compensation awards to vest.

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Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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Aggregate number of common shares reserved for future issuance.

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Amount of cost to be recognized for nonvested award under share-based payment arrangement. Excludes share and unit options.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

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Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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- Definition

The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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No definition available.

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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Stockholders' Equity, Equity-Based Compensation (Details) $ / shares in Units, $ in Millions			12 Months Ended
	Apr. 20, 2023 shares	Oct. 01, 2022 $ / shares shares	Sep. 30, 2022 USD ($) Intallment $ / shares shares	Sep. 30, 2021 USD ($) $ / shares shares	Sep. 30, 2020 USD ($) $ / shares shares	Feb. 11, 2020 shares
Weighted Average Grant Date Fair Value [Abstract]
Compensation expense \| $			$ 9.8	$ 5.7	$ 1.6
Class A Common Stock [Member]
Equity-Based Compensation [Abstract]
Total number of shares reserved for issuance (in shares)						1,564,156
Restricted Stock Units (RSUs) [Member]
Equity-Based Compensation [Abstract]
Awarded (in shares)			225,924	348,927
Number of Shares [Abstract]
Beginning balance (in shares)		559,793	545,094	301,643
Awarded (in shares)			225,924	348,927
Vested (in shares)			(211,225)	(105,476)
Forfeited (in shares)			0	0
Ending balance (in shares)			559,793	545,094	301,643
Weighted Average Grant Date Fair Value [Abstract]
Beginning balance (in dollars per share) \| $ / shares		$ 28.01	$ 22.68	$ 15.78
Awarded (in dollars per share) \| $ / shares			40.01	27.37
Vested (in dollars per share) \| $ / shares			27.1	18.47
Forfeited (in dollars per share) \| $ / shares			0	0
Ending balance (in dollars per share) \| $ / shares			$ 28.01	$ 22.68	$ 15.78
Unrecognized compensation expense \| $			$ 6.3
Weighted-average period of recognition			1 year 3 months 18 days
Performance Share Unit [Member]
Weighted Average Grant Date Fair Value [Abstract]
Compensation expense \| $			$ 5.4	$ 2.6	$ 0.5
2022 Awards [Member] \| Time-Based Restricted Stock Units [Member]
Equity-Based Compensation [Abstract]
Number of equal annual installments for vesting \| Intallment			3
Number of Shares [Abstract]
Vested (in shares)			(14,186)
2022 Awards [Member] \| Time-Based Restricted Stock Units [Member] \| Plan [Member]
Equity-Based Compensation [Abstract]
Awarded (in shares)		95,284	121,470
Number of Shares [Abstract]
Awarded (in shares)		95,284	121,470
Vested (in shares)	(12,000)
2022 Awards [Member] \| Performance Share Unit [Member]
Equity-Based Compensation [Abstract]
Awarded (in shares)			52,227
Percentage of target award granted			100.00%
Number of shares of common stock consisted in each unit (in shares)			1
Award vesting period			3 years
Percentage of expected performance targets to be achieved target award			200.00%
Number of Shares [Abstract]
Awarded (in shares)			52,227