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Pension and Other Benefits (Details) - USD ($)
3 Months Ended 12 Months Ended
Jun. 30, 2021
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Defined Benefit Plan Disclosure [Line Items]        
Change in pension liability and postretirement obligations, net of tax   $ (8,243,000) $ (16,312,000) $ (41,685,000)
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   271,985,000    
Fair value of plan assets at end of year   $ 231,667,000 $ 271,985,000  
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Actual   100.00% 100.00%  
Liabilities   $ 864,658,000 $ 912,904,000  
Pension Plans        
Defined Benefit Plan Disclosure [Line Items]        
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year   6,839,000    
Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Projected Benefit Obligation   176,201,000 211,307,000  
Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Plan Assets   101,826,000 121,110,000  
Assets for Plan Benefits, Defined Benefit Plan   5,832,000 5,208,000  
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Gain (Loss) Due to Settlement and Curtailment   (62,000) 0 19,038,000
Defined Benefit Plan, Benefit Obligation, Benefits Paid   (23,980,000) (23,200,000)  
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]        
Benefit obligation at beginning of year $ 404,841,000 356,974,000 404,841,000  
Service cost   707,000 980,000 1,092,000
Interest cost   11,312,000 10,130,000 11,527,000
Actuarial (gain) loss   (42,652,000) (30,482,000)  
Benefits paid   (23,980,000) (23,200,000)  
Foreign exchange rate changes   (2,151,000) (5,295,000)  
Benefit obligation at end of year   300,210,000 356,974,000 404,841,000
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year 286,678,000 271,985,000 286,678,000  
Actual gain (loss) on plan assets   (20,735,000) 3,048,000  
Employer contribution   4,796,000 5,442,000  
Foreign exchange rate changes   (399,000) 17,000  
Fair value of plan assets at end of year   231,667,000 271,985,000 286,678,000
Funded status   (68,543,000) (84,989,000)  
Unrecognized actuarial loss     (29,230,000)  
Net amount recognized   (51,374,000) (55,759,000)  
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Accrued liabilities   (3,715,000) (3,523,000)  
Other non-current liabilities   (70,660,000) (86,674,000)  
Net amount recognized   (51,374,000) (55,759,000)  
Defined Benefit Plan, Accumulated Other Comprehensive Income (Loss), Gain (Loss), before Tax   17,169,000 29,230,000  
Defined Benefit Plan, Net Periodic Benefit Cost (Credit)   $ 1,964,000 (470,000) $ 22,104,000
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Gain (Loss) Due to Settlement $ 2,722,000      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Increase (Decrease) for Plan Amendment     19,038,000  
Defined Benefit Plan, Plan Assets, Increase (Decrease) for Assets Transferred to (from) Plan     $ 2,176,000  
Pension Plans | Fixed income securities        
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Actual   78.00% 66.00%  
Pension Plans | Equity securities        
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Actual   22.00% 34.00%  
Postretirement Benefit Plans        
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Accrued liabilities   $ (171,000)    
Other non-current liabilities   (826,000)    
Defined Benefit Plan, Net Periodic Benefit Cost (Credit)   158,000    
Liability, Defined Benefit Plan   997,000    
Defined Benefit Postretirement Life Insurance        
Defined Benefit Plan, Amounts for Asset (Liability) Recognized in Statement of Financial Position [Abstract]        
Defined Benefit Plan, Net Periodic Benefit Cost (Credit)   124,000    
Liability, Defined Benefit Pension Plan   4,492,000    
Equity securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   80,020,000    
Fair value of plan assets at end of year   41,850,000 $ 80,020,000  
Fixed income securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   178,155,000    
Fair value of plan assets at end of year   178,904,000 178,155,000  
Real Estate Funds [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   11,849,000    
Fair value of plan assets at end of year   8,565,000 11,849,000  
Cash and Cash Equivalents [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   1,961,000    
Fair value of plan assets at end of year   2,348,000 1,961,000  
Fair Value, Inputs, Level 1 [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   65,673,000    
Fair value of plan assets at end of year   36,988,000 65,673,000  
Fair Value, Inputs, Level 1 [Member] | Equity securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   46,699,000    
Fair value of plan assets at end of year   27,576,000 46,699,000  
Fair Value, Inputs, Level 1 [Member] | Fixed income securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   17,013,000    
Fair value of plan assets at end of year   7,064,000 17,013,000  
Fair Value, Inputs, Level 1 [Member] | Real Estate Funds [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
Fair Value, Inputs, Level 1 [Member] | Cash and Cash Equivalents [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   1,961,000    
Fair value of plan assets at end of year   2,348,000 1,961,000  
Fair Value, Inputs, Level 2 [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   133,670,000    
Fair value of plan assets at end of year   145,904,000 133,670,000  
Fair Value, Inputs, Level 2 [Member] | Equity securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
Fair Value, Inputs, Level 2 [Member] | Fixed income securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   133,670,000    
Fair value of plan assets at end of year   145,904,000 133,670,000  
Fair Value, Inputs, Level 2 [Member] | Real Estate Funds [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
Fair Value, Inputs, Level 2 [Member] | Cash and Cash Equivalents [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
(Level 3)        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   1,160,000    
Fair value of plan assets at end of year   0 1,160,000  
(Level 3) | Equity securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
(Level 3) | Fixed income securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   1,160,000    
Fair value of plan assets at end of year   0 1,160,000  
(Level 3) | Real Estate Funds [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
(Level 3) | Cash and Cash Equivalents [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   0 0  
Fair Value Measured at Net Asset Value Per Share [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   71,482,000    
Fair value of plan assets at end of year   48,775,000 71,482,000  
Fair Value Measured at Net Asset Value Per Share [Member] | Equity securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   33,321,000    
Fair value of plan assets at end of year   14,274,000 33,321,000  
Fair Value Measured at Net Asset Value Per Share [Member] | Fixed income securities        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   26,312,000    
Fair value of plan assets at end of year   25,936,000 26,312,000  
Fair Value Measured at Net Asset Value Per Share [Member] | Real Estate Funds [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   11,849,000    
Fair value of plan assets at end of year   8,565,000 11,849,000  
Fair Value Measured at Net Asset Value Per Share [Member] | Cash and Cash Equivalents [Member]        
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]        
Fair value of plan assets at beginning of year   0    
Fair value of plan assets at end of year   $ 0 $ 0