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Income Tax Expense (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Operating Loss Carryforwards [Line Items]            
Income Tax Examination, Penalties and Interest Accrued     $ 360 $ 295    
Unrecognized Tax Benefits that Would Impact Effective Tax Rate     2,674      
Uncertain Tax Liability Resulting from IRS Notice     25,000      
Deferred Tax Assets, Tax Credit Carryforwards     1,379      
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Postretirement Benefits     $ 3,142 $ 3,505    
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate 21.00% 35.00% 12.50% 19.00% 20.00%  
Current Federal Tax Expense (Benefit)     $ 2,627 $ 2,596 $ 1,899  
Income (Loss) from Continuing Operations before Income Taxes, Domestic     $ 13,693 $ 11,837 $ 8,597  
Effective Income Tax Rate, Continuing Operations     17.40% 17.80% 40.10%  
Unrecognized Tax Benefits     $ 2,314 $ 2,500 $ 1,884  
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest     369,470 354,982 184,646  
Current State and Local Tax Expense (Benefit)     12,484 7,727 8,171  
Current Income Tax Expense (Benefit)     71,878 84,793 73,527  
Deferred Federal Income Tax Expense (Benefit)     (546) (280) (645)  
Deferred State and Local Income Tax Expense (Benefit)     2,836 2,656 2,131  
Increase (Decrease) in Deferred Income Taxes     (7,484) (21,433) 488  
Income Tax Expense (Benefit)     $ 64,394 $ 63,360 $ 74,015  
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate     0.00% 0.10% 0.30%  
Effective Income Tax Rate Reconciliation, State and Local Income Taxes     3.10% 2.30% 3.80%  
Increase (decrease) in Valuation Allowances     0.40% 0.10% 0.10%  
Effective Income Tax Rate Reconciliation, Tax Credit, Research, Percent     (0.60%) (0.50%) (1.10%)  
Effective Income Tax Rate Reconciliation, Tax Credits, Foreign     (0.20%) (0.20%) 0.00%  
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential     4.50% 0.00% 0.00%  
Effective Tax Rate Reconciliation, UK Tax Rate Differential     0.00% 4.10% 6.00%  
Effective Income Tax Rate Reconciliation, Deductions, Qualified Production Activities     0.00% (0.80%) (2.50%)  
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Compensation Cost, Percent     (2.20%) (1.80%) (2.80%)  
Effective Tax Reconciliation, deferred tax assets and liabilities     (0.60%) (10.30%) (2.30%)  
Change in Effective Income Tax US Transition tax     (0.30%) (4.90%) 0.00%  
U.S. tax reform impact GILTI and FDII     0.30%      
Effective Tax Rate Reconciliation, acquisitions and divestitures     0.00% 0.50% 9.00%  
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Impairment Losses, Percent     0.00% 0.00% 7.90%  
Capitalized Interest Costs- Effective tax rate     0.50% 0.00% 0.20%  
Effective Income Tax Rate Reconciliation, Other Adjustments     0.00% 0.40% 1.50%  
Unrecognized Tax Benefits, Increases Resulting from Current Period Tax Positions     $ 178 $ 356    
Unrecognized Tax Benefits, Decrease Resulting from Current Period Tax Positions     (186) 0    
Unrecognized Tax Benefits, Decrease Resulting from Foreign Currency Translation     (178) (260)    
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits     14,275 12,334    
Deferred Tax Assets, Operating Loss Carryforwards     13,665      
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Accrued Liabilities     4,858 5,795    
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Self Insurance     3,187 3,417    
Deferred Tax Assets, Deferred Income     7,509 4,632    
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Allowance for Doubtful Accounts     1,386 1,426    
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Pensions     3,364 5,247    
Deferred Tax Assets, Other     7,707 1,668    
Deferred Tax Assets, Gross, Current     64,623 64,241    
Deferred Tax Assets, Valuation Allowance     13,478 13,596 $ 16,366 $ 16,435
Deferred Tax Assets, Net     51,145 50,645    
Deferred Tax Liabilities, Property, Plant and Equipment     61,060 61,171    
Deferred Tax Liabilities, Goodwill and Intangible Assets, Intangible Assets     128,479 140,398    
Deferred Tax and Other Liabilities, Noncurrent     2,197 2,774    
Deferred Tax Liabilities     191,736 204,343    
Deferred Tax Assets (Liabilities), Net     (140,591) (153,698)    
Deferred Tax Assets, Operating Loss Carryforwards, Foreign     46,595      
Deferred Tax Assets, Operating Loss Carryforwards, State and Local     2,602      
Valuation Allowance, Deferred Tax Asset, Change in Amount     118      
Deferred Tax Assets, Operating Loss Carryforwards     19,195 26,217    
Undistributed Earnings of Foreign Subsidiaries     1,300,000      
Costa Rica Exempt thorugh 2025 and partially exempt through 2029 [Member]            
Operating Loss Carryforwards [Line Items]            
Income Tax Holiday, Aggregate Dollar Amount     $ 1,008      
Income Tax Holiday, Income Tax Benefits Per Share     $ 0.01      
UNITED STATES            
Operating Loss Carryforwards [Line Items]            
Income (Loss) from Continuing Operations before Income Taxes, Foreign     $ 235,405 203,872 189,429  
Current Foreign Tax Expense (Benefit)     29,943 47,728 43,900  
Deferred Foreign Income Tax Expense (Benefit)     5,775 (15,728) 10,293  
Other Foreign Entities [Member]            
Operating Loss Carryforwards [Line Items]            
Income (Loss) from Continuing Operations before Income Taxes, Foreign     120,372 139,273 (13,380)  
Current Foreign Tax Expense (Benefit)     26,824 26,742 19,557  
Deferred Foreign Income Tax Expense (Benefit)     $ (15,549) $ (8,081) $ (11,291)