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Pensions and Other Benefit Plans - Narrative (Details)
 12 Months Ended
Mar. 31, 2024
USD ($)
pensionPlan
Mar. 31, 2023
USD ($)
Mar. 31, 2022
USD ($)
Defined Benefit Plan Disclosure [Line Items]      
Settlement charge $ 4,984,000 $ 0 $ 0
Accrued liabilities 127,973,000 124,317,000  
Other liabilities, noncurrent 202,555,000 192,013,000  
Charge recorded for contributions to defined contribution plans 6,288,000 5,808,000 4,540,000
Pension Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan, expected future employer contributions, next fiscal year 6,839,000    
Employer contribution 6,761,000 4,796,000  
Defined benefit plan, net periodic benefit cost (credit) 7,945,000 1,964,000 $ (470,000)
Liability, defined benefit plan, noncurrent 70,552,000 70,660,000  
Liability, defined benefit plan, current $ 3,786,000 3,715,000  
Postretirement Benefit Plans      
Defined Benefit Plan Disclosure [Line Items]      
Retirement age 65 years    
Percentage of premium contributed 100.00%    
Defined benefit plan, net periodic benefit cost (credit) $ 146,000    
Liability, defined benefit plan 847,000    
Liability, defined benefit plan, noncurrent 695,000    
Liability, defined benefit plan, current 152,000    
Postretirement Benefit Plans | American Association of Retired Persons      
Defined Benefit Plan Disclosure [Line Items]      
Employer contribution 35    
Defined Benefit Postretirement Life Insurance      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plan, net periodic benefit cost (credit) 91,000    
Liability, defined benefit pension plan 2,857,000    
Accrued liabilities 2,777,000    
Other liabilities, noncurrent 80,000    
Cash surrender value of life insurance $ 2,392,000 $ 3,690,000  
United States      
Defined Benefit Plan Disclosure [Line Items]      
Number of pension plans settled | pensionPlan 1    
Foreign Plan      
Defined Benefit Plan Disclosure [Line Items]      
Number of pension plans settled | pensionPlan 2