Common Stock and Stock Compensation - Narrative (Details) $ in Thousands			1 Months Ended									2 Months Ended	12 Months Ended					29 Months Ended
	May 03, 2022 USD ($)	Mar. 01, 2022 shares	Mar. 31, 2024 director shares	Nov. 30, 2023 shares	Mar. 31, 2023 director shares	Dec. 31, 2022 USD ($) shares	Oct. 31, 2022 shares	Mar. 31, 2022 director shares	Oct. 31, 2021 shares	Feb. 28, 2021 director shares	Jan. 31, 2021 shares	Nov. 30, 2021 shares	Sep. 30, 2024 USD ($) shares	Sep. 30, 2023 USD ($) shares	Sep. 30, 2022 USD ($) shares	Sep. 30, 2021 shares	Sep. 30, 2020	Sep. 30, 2024 USD ($) shares	Oct. 31, 2024 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase and retirement of treasury shares (in shares)						578,703
Common stock repurchased and retired | $													$ 12,008	$ 16,988	$ 2,040
Purchase and retirement of treasury stock | $						$ 5,000							12,008	16,988	2,040
Share-based compensation costs | $													$ 10,406	$ 9,539	$ 5,053
Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)													1,442,461
Restricted stock | Non-employee directors
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of non-employee directors | director			5		5			5		4
Awards granted in period (in shares)			75,185		90,190			132,450		127,744
Restricted stock | Non-Employee Director One
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)			15,037		18,038			26,490		31,936
Restricted stock | Non-Employee Director Two
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)			15,037		18,038			26,490		31,936
Restricted stock | Non-Employee Director Three
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)			15,037		18,038			26,490		31,936
Restricted stock | Non-Employee Director Four
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)			15,037		18,038			26,490		31,936
Restricted stock | Non-Employee Director Five
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)			15,037		18,038			26,490
Restricted Stock and Phantom Share Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unamortized fair value of share awards amortized remaining value | $													$ 11,600					$ 11,600
Weighted-average period over													2 years
2022 Plan | Minimum | Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Service period		1 year
2022 Plan | Maximum | Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Service period		3 years
FY24 Awards | Restricted Stock Units (RSUs) | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)				995,759									17,524
Award vesting period				3 years
Vesting rights percentage				60.00%
FY24 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage				20.00%
FY24 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage				20.00%
FY24 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage				20.00%									133.00%
FY24 Awards | Performance Shares | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period				3 years
Share based compensation award vesting rights, percentage				20.00%
FY24 Awards | Cumulative Performance | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period				3 years
FY24 Awards | Cumulative Performance | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage													100.00%
FY24 Awards | Minimum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage				0.00%
FY24 Awards | Maximum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage				150.00%
FY23 Awards | Restricted Stock Units (RSUs) | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)							912,524							8,036
Award vesting period							3 years
Vesting rights percentage							60.00%
FY23 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							20.00%
FY23 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							20.00%
FY23 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							20.00%						133.00%	147.00%
FY23 Awards | Performance Shares | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period							3 years
Share based compensation award vesting rights, percentage							20.00%
FY23 Awards | Cumulative Performance | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period							3 years
FY23 Awards | Cumulative Performance | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							150.00%
FY23 Awards | Minimum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							0.00%
FY23 Awards | Maximum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							150.00%
FY22 Awards | Restricted Stock Units (RSUs) | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)									29,722			981,327			161,265
Award vesting period									3 years				3 years	3 years	3 years
FY22 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage															150.00%
FY22 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage													133.00%	147.00%
FY22 Awards | Minimum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage														0.00%
FY22 Awards | Maximum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage														150.00%
FY21 Awards | Restricted Stock Units (RSUs) | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)										1,177,214						4,722
Award vesting period														3 years	3 years	3 years
FY21 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																150.00%
FY21 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage															150.00%
FY21 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage														135.00%
FY21 Awards | Minimum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage														0.00%
FY21 Awards | Maximum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage														150.00%
FY20 Awards | Restricted Stock Units (RSUs) | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)											550,224
Award vesting period															3 years	3 years	3 years
FY20 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																100.00%
FY20 Awards | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage															100.00%
FY20 Awards | Minimum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage															0.00%
FY20 Awards | Maximum | Restricted Stock Units (RSUs) | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage															100.00%
Common Class A
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock repurchase program, amount authorized | $	$ 50,000
Stock repurchase program, period (in years)	3 years
Purchase and retirement of treasury shares (in shares)													1,218,503	1,389,102				2,845,548
Common stock repurchased and retired | $													$ 12,000	$ 12,000				$ 26,000
Common Class A | 2022 Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of increase a authorized shares		400,000		3,300,000			1,900,000
Common Class A | 2022 Plan | Subsequent event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of increase a authorized shares																			4,150,000