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Pension and Retirement Plans (Tables) | 12 Months Ended
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Sep. 30, 2024
Defined Benefit Plan Disclosure [Line Items] |
Schedule of Net Benefit Costs | The components of net periodic benefit costs related to the U.S. and international plans are as follows:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended September 30,
​ | ​ | 2024 | ​ | 2023
​ |  | U.K. |  | U.S. |  | Total |  | U.K. |  | U.S. |  | Total
​ | ​ | (Amounts in thousands)
Pension: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Interest cost | ​ | $ | 440 | ​ | $ | 11 | ​ | $ | 451 | ​ | $ | 429 | ​ | $ | 13 | ​ | $ | 442
Expected return on plan assets | ​ |  | (515) | ​ |  | — | ​ |  | (515) | ​ |  | (575) | ​ |  | — | ​ |  | (575)
Amortization of past service costs | ​ | ​ | 8 | ​ | ​ | — | ​ | ​ | 8 | ​ | ​ | 7 | ​ | ​ | — | ​ | ​ | 7
Amortization of net gain | ​ |  | — | ​ |  | (5) | ​ |  | (5) | ​ |  | — | ​ |  | (4) | ​ |  | (4)
Net periodic (benefit) cost | ​ | $ | (67) | ​ | $ | 6 | ​ | $ | (61) | ​ | $ | (139) | ​ | $ | 9 | ​ | $ | (130)
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Post Retirement: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Service cost | ​ | $ | — | ​ | $ | 23 | ​ | $ | 23 | ​ | $ | — | ​ | $ | 24 | ​ | $ | 24
Interest cost | ​ |  | — | ​ |  | 64 | ​ |  | 64 | ​ |  | — | ​ |  | 62 | ​ |  | 62
Amortization of net gain | ​ |  | — | ​ |  | (172) | ​ |  | (172) | ​ |  | — | ​ |  | (196) | ​ |  | (196)
Net periodic benefit | ​ | $ | — | ​ | $ | (85) | ​ | $ | (85) | ​ | $ | — | ​ | $ | (110) | ​ | $ | (110)
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Pension: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
(Decrease) increase in minimum liability included in other comprehensive income | ​ | $ | (106) | ​ | $ | 6 | ​ | $ | (100) | ​ | $ | (313) | ​ | $ | (1) | ​ | $ | (314)
Post Retirement: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Increase in minimum liability included in other comprehensive income | ​ |  | — | ​ |  | 160 | ​ |  | 160 | ​ |  | — | ​ |  | 70 | ​ |  | 70
Total: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
(Decrease) increase in minimum liability included in other comprehensive income | ​ | $ | (106) | ​ | $ | 166 | ​ | $ | 60 | ​ | $ | (313) | ​ | $ | 69 | ​ | $ | (244)
Schedule of Changes in Projected Benefit Obligations | The following table presents an analysis of the changes in 2024 and 2023 of the benefit obligation, the plan assets and the funded status of the plans:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Years Ended September 30
​ | ​ | 2024 | ​ | 2023
​ |  | Foreign |  | U.S. |  | Total |  | Foreign |  | U.S. |  | Total
​ | ​ | (Amounts in thousands)
Pension: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Change in projected benefit obligation (“PBO”) |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |
Balance beginning of year | ​ | $ | 8,076 | ​ | $ | 202 | ​ | $ | 8,278 | ​ | $ | 7,726 | ​ | $ | 261 | ​ | $ | 7,987
Interest cost | ​ |  | 440 | ​ |  | 11 | ​ |  | 451 | ​ |  | 429 | ​ |  | 13 | ​ |  | 442
Changes in actuarial assumptions | ​ |  | 349 | ​ |  | 1 | ​ |  | 350 | ​ |  | (317) | ​ |  | (4) | ​ |  | (321)
Foreign exchange impact | ​ |  | 788 | ​ |  | — | ​ |  | 788 | ​ |  | 759 | ​ |  | — | ​ |  | 759
Benefits paid | ​ |  | (488) | ​ |  | (54) | ​ |  | (542) | ​ |  | (521) | ​ |  | (68) | ​ |  | (589)
Projected benefit obligation at end of year | ​ | $ | 9,165 | ​ | $ | 160 | ​ | $ | 9,325 | ​ | $ | 8,076 | ​ | $ | 202 | ​ | $ | 8,278
Changes in fair value of plan assets: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Fair value of plan assets at beginning of year | ​ | $ | 10,034 | ​ | $ | — | ​ | $ | 10,034 | ​ | $ | 8,825 | ​ | $ | — | ​ | $ | 8,825
Actual gain (loss) on plan assets | ​ |  | 985 | ​ |  | — | ​ |  | 985 | ​ |  | 628 | ​ |  | — | ​ |  | 628
Company contributions | ​ |  | — | ​ |  | 54 | ​ |  | 54 | ​ |  | 239 | ​ |  | 68 | ​ |  | 307
Foreign exchange impact | ​ |  | 978 | ​ |  | — | ​ |  | 978 | ​ |  | 863 | ​ |  | — | ​ |  | 863
Administrative expenses | ​ | ​ | (143) | ​ |  | — | ​ | ​ | (143) | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Benefits paid | ​ |  | (488) | ​ |  | (54) | ​ |  | (542) | ​ |  | (521) | ​ |  | (68) | ​ |  | (589)
Fair value of plan assets at end of year | ​ | $ | 11,366 | ​ | $ | — | ​ | $ | 11,366 | ​ | $ | 10,034 | ​ | $ | — | ​ | $ | 10,034
Funded status \ net amount recognized | ​ | $ | 2,201 | ​ | $ | (160) | ​ | $ | 2,041 | ​ | $ | 1,958 | ​ | $ | (202) | ​ | $ | 1,756
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Post Retirement: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Change in projected benefit obligation (“PBO”): | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Balance beginning of year | ​ | $ | — | ​ | $ | 1,147 | ​ | $ | 1,147 | ​ | $ | — | ​ | $ | 1,186 | ​ | $ | 1,186
Service cost | ​ |  | — | ​ |  | 23 | ​ |  | 23 | ​ |  | — | ​ |  | 24 | ​ |  | 24
Interest cost | ​ |  | — | ​ |  | 64 | ​ |  | 64 | ​ |  | — | ​ |  | 62 | ​ |  | 62
Changes in actuarial assumptions | ​ |  | — | ​ |  | (12) | ​ |  | (12) | ​ |  | — | ​ |  | (125) | ​ |  | (125)
Projected benefit obligation at end of year | ​ | $ | — | ​ | $ | 1,222 | ​ | $ | 1,222 | ​ | $ | — | ​ | $ | 1,147 | ​ | $ | 1,147
Funded status \ net amount recognized | ​ | $ | — | ​ | $ | (1,222) | ​ | $ | (1,222) | ​ | $ | — | ​ | $ | (1,147) | ​ | $ | (1,147)
Schedule of Amounts Recognized in Balance Sheet | The amounts recognized in the consolidated balance sheet consist of:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Years Ended September 30
​ | ​ | 2024 | ​ | 2023
​ |  | Foreign |  | U.S. |  | Total |  | Foreign |  | U.S. |  | Total
​ | ​ | (Amounts in thousands)
Pension: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Accrued benefit asset (liability) | ​ | $ | 2,201 | ​ | $ | (160) | ​ | $ | 2,041 | ​ | $ | 1,958 | ​ | $ | (202) | ​ | $ | 1,756
Deferred tax | ​ |  | — | ​ |  | 23 | ​ |  | 23 | ​ |  | — | ​ |  | 26 | ​ |  | 26
Accumulated other comprehensive income | ​ |  | 212 | ​ |  | 12 | ​ |  | 224 | ​ |  | 318 | ​ |  | 8 | ​ |  | 326
Net amount recognized | ​ | $ | 2,413 | ​ | $ | (125) | ​ | $ | 2,288 | ​ | $ | 2,276 | ​ | $ | (168) | ​ | $ | 2,108
Post Retirement: | ​ |  |  | ​ |  | ​ | ​ |  |  | ​ |  |  | ​ |  | ​ | ​ |  |
Accrued benefit liability | ​ | $ | — | ​ | $ | (1,222) | ​ | $ | (1,222) | ​ | $ | — | ​ | $ | (1,147) | ​ | $ | (1,147)
Deferred tax | ​ |  | — | ​ |  | 212 | ​ |  | 212 | ​ |  | — | ​ |  | 277 | ​ |  | 277
Accumulated other comprehensive loss | ​ |  | — | ​ |  | (144) | ​ |  | (144) | ​ |  | — | ​ |  | (240) | ​ |  | (240)
Net amount recognized | ​ | $ | — | ​ | $ | (1,154) | ​ | $ | (1,154) | ​ | $ | — | ​ | $ | (1,110) | ​ | $ | (1,110)
Total pension and post retirement: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Accrued benefit asset (liability) | ​ | $ | 2,201 | ​ | $ | (1,382) | ​ | $ | 819 | ​ | $ | 1,958 | ​ | $ | (1,349) | ​ | $ | 609
Deferred tax | ​ |  | — | ​ |  | 235 | ​ |  | 235 | ​ |  | — | ​ |  | 303 | ​ |  | 303
Accumulated other comprehensive income (loss) | ​ |  | 212 | ​ |  | (132) | ​ |  | 80 | ​ |  | 318 | ​ |  | (232) | ​ |  | 86
Net amount recognized | ​ | $ | 2,413 | ​ | $ | (1,279) | ​ | $ | 1,134 | ​ | $ | 2,276 | ​ | $ | (1,278) | ​ | $ | 998
Accumulated Benefit Obligation: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Pension | ​ | $ | (9,165) | ​ | $ | (160) | ​ | $ | (9,325) | ​ | $ | (8,076) | ​ | $ | (202) | ​ | $ | (8,278)
Post Retirement | ​ |  | — | ​ |  | (1,222) | ​ |  | (1,222) | ​ |  | — | ​ |  | (1,147) | ​ |  | (1,147)
Total accumulated benefit obligation | ​ | $ | (9,165) | ​ | $ | (1,382) | ​ | $ | (10,547) | ​ | $ | (8,076) | ​ | $ | (1,349) | ​ | $ | (9,425)
Schedule of accrued benefit liability | Accrued benefit assets and liabilities reported as:
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | September 30,
​ |  | 2024 |  | 2023
​ | ​ | (Amounts in thousands)
Non-current benefits assets | ​ | $ | 2,201 | ​ | $ | 1,958
​ | ​ | ​ | ​ | ​ | ​ | ​
Current accrued benefit liability | ​ | $ | 76 | ​ | $ | 98
Non-current accrued benefit liability | ​ |  | 1,306 | ​ |  | 1,251
Total accrued benefit liability | ​ | $ | 1,382 | ​ | $ | 1,349
Schedule of Expected Benefit Payments | The following benefit payments, which reflect expected future service, as appropriate, are expected to be paid (amounts in thousands):
​ | ​ | ​ | ​
Fiscal year ending September 30: |  | (Amounts in thousands)
2025 | ​ | $ | 595
2026 | ​ | $ | 623
2027 | ​ | $ | 660
2028 | ​ | $ | 702
2029 | ​ | $ | 700
Thereafter | ​ | $ | 1,230
Schedule of fair value of Plan Assets | The fair value of the assets held by the U.K. pension plan by asset category are as follows:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Fair Values as of
​ | ​ | September 30, 2024 | ​ | September 30, 2023
​ | ​ | Fair Value Measurements Using Inputs Considered as | ​ | Fair Value Measurements Using Inputs Considered as
Asset Category |  | Total |  | Level 1 |  | Level 2 |  | Level 3 |  | Total |  | Level 1 |  | Level 2 |  | Level 3
​ | ​ | (Amounts in thousands)
Cash on deposit | ​ | $ | 65 | ​ | $ | 65 | ​ | $ | — | ​ | $ | — | ​ | $ | 428 | ​ | $ | 428 | ​ | $ | — | ​ | $ | —
Fixed income | ​ | ​ | 10,388 | ​ | ​ | 8,714 | ​ | ​ | 1,674 | ​ | ​ | — | ​ | ​ | 8,703 | ​ | ​ | 7,251 | ​ | ​ | 1,452 | ​ | ​ | —
Equity | ​ |  | 913 | ​ |  | 263 | ​ | ​ | 650 | ​ | ​ | — | ​ |  | 903 | ​ |  | 266 | ​ | ​ | 637 | ​ | ​ | —
Total plan assets | ​ | $ | 11,366 | ​ | $ | 9,042 | ​ | $ | 2,324 | ​ | $ | — | ​ | $ | 10,034 | ​ | $ | 7,945 | ​ | $ | 2,089 | ​ | $ | —
Projected Benefit Obligations |
Defined Benefit Plan Disclosure [Line Items] |
Schedule of Assumptions Used | The following table provides the weighted average actuarial assumptions used to determine the actuarial present value of projected benefit obligations at:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Domestic | ​ | International |
​ | ​ | September 30, | ​ | September 30, |
​ |  | 2024 |  | 2023 |  | 2024 |  | 2023 |
Discount rate: |  | 4.86 | % | 5.62 | % | 5.0 | % | 5.4 | %
Expected return on plan assets: |  |  |  |  |  | 4.7 | % | 5.1 | %
Net Periodic Benefit Cost |
Defined Benefit Plan Disclosure [Line Items] |
Schedule of Assumptions Used | The following table provides the weighted average actuarial assumptions used to determine net periodic benefit cost for years ended:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Domestic |  | International |
​ | ​ | September 30, | ​ | September 30, |
​ |  | 2024 |  | 2023 |  | 2024 |  | 2023 |
Discount rate: |  | 5.62 | % | 5.14 | % | 5.0 | % | 5.4 | %
Expected return on plan assets: |  |  |  |  |  | 4.7 | % | 5.1 | %

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