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Pension and Other Post-retirement Benefit Plans - Summary of Change in Benefit Obligation (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Mar. 31, 2018
Mar. 31, 2017
Funded status at end of year          
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months       $ 9,023  
Defined Benefit Plan, Expected Future Benefit Payment, Year Two       7,469  
Defined Benefit Plan, Expected Future Benefit Payment, Year Three       7,534  
Defined Benefit Plan, Expected Future Benefit Payment, Year Four       10,148  
Defined Benefit Plan, Expected Future Benefit Payment, Year Five       9,098  
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter       57,816  
Pension          
Defined Benefit Plan Disclosure [Line Items]          
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, before Tax $ 184 $ (1,229) $ 5,125    
Change in Benefit Obligation          
Benefit obligation at beginning of the year 45,171 45,716      
Service cost 4,585 1,298 1,507    
Interest cost 1,750 1,297 1,347    
Plan participants’ contributions 0 0      
Actuarial (gain) loss 437 1,980      
Foreign currency exchange rate change 9,934 (3,732)      
Gross benefits paid (1,128) (1,120)      
Curtailments and settlements (5,642) (268)      
Defined Benefit Plan, Benefit Obligation, Business Combination 106,566 0      
Benefit obligation at end of year 161,673 45,171 45,716    
Change in Plan Assets          
Fair value of plan assets at beginning of year 10,004 10,268      
Actual return on plan assets 2,594 1,099      
Foreign currency exchange rate changes 3,831 (1,361)      
Employer contributions 4,766 1,176      
Settlements (5,659) (58)      
Plan participants’ contributions 0 0      
Gross benefits paid 1,128 1,120      
Acquisitions 57,083 0      
Fair value of plan assets at end of year 71,491 10,004 10,268    
Funded status at end of year          
Fair value of plan assets 10,004 10,268 10,268 71,491 $ 10,004
Benefit obligations (45,171) (45,716) (45,716) (161,673) (45,171)
Amount recognized at end of year       (90,182) (35,167)
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months       8,968  
Defined Benefit Plan, Expected Future Benefit Payment, Year Two       7,417  
Defined Benefit Plan, Expected Future Benefit Payment, Year Three       7,487  
Defined Benefit Plan, Expected Future Benefit Payment, Year Four       10,105  
Defined Benefit Plan, Expected Future Benefit Payment, Year Five       9,059  
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter       57,685  
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, before Tax (322) (619) (698)    
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), before Tax 0 0 342    
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax 87 82 60    
Other Comprehensive (Income) Loss, Defined Benefit Plan, before Tax, after Reclassification Adjustment, Attributable to Parent (593) 528 (5,541)    
Defined Benefit Plan, Amount Recognized in Net Periodic Benefit Cost (Credit) and Other Comprehensive (Income) Loss, before Tax 4,195 3,267 (2,356)    
Other Benefits          
Defined Benefit Plan Disclosure [Line Items]          
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, before Tax (64) 228 146    
Change in Benefit Obligation          
Benefit obligation at beginning of the year 386 623      
Service cost 0 0 0    
Interest cost 12 11 19    
Plan participants’ contributions 536 592      
Actuarial (gain) loss 64 (228)      
Foreign currency exchange rate change 0 0      
Gross benefits paid (631) (612)      
Curtailments and settlements 0 0      
Defined Benefit Plan, Benefit Obligation, Business Combination 0 0      
Benefit obligation at end of year 367 386 623    
Change in Plan Assets          
Fair value of plan assets at beginning of year 0 0      
Actual return on plan assets 0 0      
Foreign currency exchange rate changes 0 0      
Employer contributions 95 20      
Settlements 0 0      
Plan participants’ contributions 536 592      
Gross benefits paid 631 612      
Acquisitions 0 0      
Fair value of plan assets at end of year 0 0 0    
Funded status at end of year          
Fair value of plan assets 0 0 0 0 0
Benefit obligations (386) (623) (623) (367) (386)
Amount recognized at end of year       (367) $ (386)
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months       55  
Defined Benefit Plan, Expected Future Benefit Payment, Year Two       52  
Defined Benefit Plan, Expected Future Benefit Payment, Year Three       47  
Defined Benefit Plan, Expected Future Benefit Payment, Year Four       43  
Defined Benefit Plan, Expected Future Benefit Payment, Year Five       39  
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter       $ 131  
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, before Tax 191 208 191    
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), before Tax 0 0 0    
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax 0 0 0    
Other Comprehensive (Income) Loss, Defined Benefit Plan, before Tax, after Reclassification Adjustment, Attributable to Parent 255 (20) 45    
Defined Benefit Plan, Amount Recognized in Net Periodic Benefit Cost (Credit) and Other Comprehensive (Income) Loss, before Tax $ 76 $ (216) $ (127)