Common Stock and Stock Compensation - Narrative (Details) $ in Thousands					1 Months Ended										2 Months Ended	12 Months Ended					17 Months Ended
	May 03, 2022 USD ($)	Mar. 01, 2022 shares	Mar. 31, 2021 shares	Feb. 18, 2021 director shares	Mar. 31, 2023 director shares	Dec. 31, 2022 USD ($) shares	Oct. 31, 2022 shares	Mar. 31, 2022 director shares	Oct. 31, 2021 shares	Feb. 28, 2021 director shares	Jan. 31, 2021 shares	Dec. 31, 2020 director shares	Nov. 30, 2020 USD ($) shares	Dec. 31, 2018 shares	Nov. 30, 2021 shares	Sep. 30, 2023 USD ($) shares	Sep. 30, 2022 USD ($) shares	Sep. 30, 2021 USD ($) shares	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2023 USD ($) shares	Nov. 15, 2023 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 | $																$ 16,988	$ 2,040
Purchase and retirement of treasury stock | $						$ 5,000										16,988	2,040	$ 0
Share-based compensation costs | $																$ 9,539	$ 5,053	$ 3,946
Non-employee directors
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of new non-employee directors | director				5
Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)																1,010,750
Restricted stock | Non-employee directors
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of new non-employee directors | director					5			5		4		9
Awards granted in period (in shares)					90,190			132,450		127,744		143,145
Awards vested in period (in shares)			63,620	79,525
Restricted stock | Non-Employee Director One
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)					18,038			26,490		31,936		15,905
Restricted stock | Non-Employee Director Four
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)					18,038			26,490		31,936		15,905
Restricted stock | Non-Employee Director Two
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)					18,038			26,490		31,936		15,905
Restricted stock | Non-Employee Director Five
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)					18,038			26,490				15,905
Restricted stock | Non-Employee Director Three
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)					18,038			26,490		31,936		15,905
Restricted stock | Non-Employee Director Seven
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)												15,905
Restricted stock | Non-Employee Director Six
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)												15,905
Restricted stock | Non-Employee Director Nine
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)												15,905
Restricted stock | Non-Employee Director Eight
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)												15,905
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 | $																$ 10,600					$ 10,600
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
2010 Plan | Restricted stock | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase and retirement of treasury shares (in shares)													458,960
Awards granted in period (in shares)											550,224			971,615				61,138
Share-based compensation costs | $													$ 2,900
2010 Plan | Restricted stock | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)													358,883
FY23 Awards | Restricted stock | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (in shares)																8,036
FY23 Awards | Restricted stock | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							20.00%
FY23 Awards | Restricted stock | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																147.30%
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
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%
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							100.00%
FY23 Awards | Minimum | Restricted stock | 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 | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage							150.00%
FY22 Awards | Restricted stock | 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
FY22 Awards | Restricted stock | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																	150.00%
FY22 Awards | Restricted stock | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																147.30%
FY22 Awards | Minimum | Restricted stock | 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 | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																150.00%
FY21 Awards | Restricted stock | 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 | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																		150.00%
FY21 Awards | Restricted stock | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																	150.00%
FY21 Awards | Restricted stock | Employee | Vesting Tranche 3
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																135.40%
FY21 Awards | Minimum | Restricted stock | 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 | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																150.00%
FY20 Awards | Restricted stock | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period																	3 years	3 years	3 years
FY20 Awards | Restricted stock | Employee | Vesting Tranche 2
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																		100.00%
FY20 Awards | Restricted stock | 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 | 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 | Employee | Vesting Tranche 1
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights percentage																	100.00%
FY19 Awards | Restricted stock | Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period													1 year					3 years	3 years	3 years
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)																					1,627,045
Common stock repurchased and retired | $																					$ 14,000
Common Class A | Common Stock Repurchase Program
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Purchase and retirement of treasury shares (in shares)																1,389,102
Common stock repurchased and retired | $																$ 12,000
Common Class A | 2022 Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of increase a authorized shares		400,000					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																						3,300,000