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Defined Benefit Pension Plan (Tables)
12 Months Ended
Sep. 30, 2019
Defined Benefit Plan [Abstract]  
Schedule of net periodic benefit cost recognized
The net periodic benefit cost recognized for the years ended September 30, 2019, 2018 and 2017, included the following components:
 Year Ended September 30,
 201920182017
 (in thousands)
Interest cost$618  $651  $582  
Expected return on plan assets(965) (986) (826) 
Total net periodic benefit$(347) $(335) $(244) 
Schedule of reconciliation of benefit obligations, plan assets, and funded status related to qualified defined benefit pension plan
The following table provides a reconciliation of benefit obligations, plan assets, and funded status related to the Company's qualified defined benefit pension plan for the years ended September 30, 2019 and 2018:
 Year Ended September 30,
 20192018
 (in thousands)
Change in benefit obligation  
Beginning balance$22,226  $25,085  
Interest cost618  651  
Benefits paid(879) (2,297) 
Actuarial loss/(gain)2,508  (590) 
Foreign currency exchange rate changes(1,233) (623) 
Ending balance$23,240  $22,226  

 Year Ended September 30,
 20192018
 (in thousands)
Change in plan assets  
Beginning balance at fair value$25,132  $26,943  
Actual return on plan assets3,003  1,175  
Benefits paid(879) (2,297) 
Employer's contributions—  —  
Foreign currency exchange rate changes(1,477) (689) 
Ending balance at fair value$25,779  $25,132  
Overfunded status of the Scheme$2,539  $2,906  
Schedule of amount recognized in other comprehensive loss related to qualified defined benefit pension plan, net of tax
The amounts recognized in other comprehensive (income) loss related to the Company's qualified defined benefit pension plan, net of taxes, and the related foreign currency translation adjustments, for the years ended September 30, 2019 and 2018, is shown in the following table:

 Year Ended September 30,
 20192018
 (in thousands)
Accumulated other comprehensive (income) loss at beginning of year$(892) $(123) 
Net actuarial gain (loss)540  (773) 
Foreign currency translation adjustments49   
Accumulated other comprehensive (income) loss at end of year$(303) $(892) 
Schedule of actuarial assumptions used to determine (benefit) obligations and net periodic benefit cost
The actuarial assumptions used to determine the benefit obligations at September 30, 2019 and 2018, and to determine the net periodic (benefit) cost for the year were as follows:
September 30, 2019September 30, 2018
Discount rate to determine net periodic (benefit) cost2.90 %2.70 %
Expected return on plan assets4.00 %3.80 %
Discount rate to determine benefit obligations1.80 %2.90 %
Rate of increases to deferred CPI linked benefits2.10 %2.20 %
Rate of increases to deferred RPI linked benefits3.20 %3.30 %
Schedule of expected benefit payments to participants
The Company's pension plan expects to make the following benefit payments to participants over the next 10 years:
 Pension Benefits
 (in thousands)
Year ending September 30, 
2020$750  
2021705  
2022828  
20231,112  
2024964  
2025 through 20294,779  
Total$9,138  
Schedule of allocation of plan assets The assets consisted of the following as of September 30, 2019 and 2018:
 September 30, 2019September 30, 2018
Equity securities19.7 %45.7 %
Corporate bonds56.4 %53.1 %
Diversified fund23.5 %— %
Cash0.4 %1.2 %
Total100.0 %100.0 %
Schedule of fair value of assets of qualified defined benefit pension plan by asset category and level within fair value hierarchy The following table presents the fair value of the assets of the Company's qualified defined benefit pension plan by asset category and their level within the fair value hierarchy, which has three levels based on reliability of the inputs used to determine fair value. Level 1 refers to fair values determined based on quoted prices in active markets for identical assets, Level 2 refers to fair values estimated using significant other observable inputs, and Level 3 includes fair values estimated using significant unobservable inputs.
Balance as of September 30, 2018Level 1Level 2Level 3Total
 (in thousands)
Equity securities$—  $11,489  $—  $11,489  
Fixed-income securities—  13,347  —  13,347  
Cash equivalents296  —  —  296  
Total$296  $24,836  $—  $25,132  

Balance as of September 30, 2019Level 1Level 2Level 3Total
 (in thousands)
Equity securities$—  $5,077  $—  $5,077  
Corporate bonds—  14,546  —  14,546  
Diversified fund—  6,062  —  6,062  
Cash94  —  —  94  
Total$94  $25,685  $—  $25,779