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Fair Value Measurements - Schedule of Financial Assets and Liabilities Measured or Disclosed at Fair Value (Details) - USD ($)
$ in Thousands
Dec. 31, 2023
Mar. 31, 2023
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Marketable securities $ 12,388 $ 10,368
Term Loan B    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value (500,048) (460,825)
AR securitization facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value (45,000)  
Foreign exchange contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets (100) 97
Interest rate swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 6,198 10,475
Cross currency swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative liability (4,506) (2,102)
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Term Loan B    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value 0 0
Quoted Prices in Active Markets for Indentical Assets (Level 1) | AR securitization facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value 0  
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Foreign exchange contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 0 0
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Interest rate swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 0 0
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Cross currency swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative liability 0 0
Significant Other Observable Inputs (Level 2) | Term Loan B    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value (500,048) (460,825)
Significant Other Observable Inputs (Level 2) | AR securitization facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value (45,000)  
Significant Other Observable Inputs (Level 2) | Foreign exchange contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets (100) 97
Significant Other Observable Inputs (Level 2) | Interest rate swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 6,198 10,475
Significant Other Observable Inputs (Level 2) | Cross currency swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative liability (4,506) (2,102)
Significant unobservable Inputs (Level 3) | Term Loan B    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value 0 0
Significant unobservable Inputs (Level 3) | AR securitization facility    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Long-term debt, fair value 0  
Significant unobservable Inputs (Level 3) | Foreign exchange contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 0 0
Significant unobservable Inputs (Level 3) | Interest rate swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative assets 0 0
Significant unobservable Inputs (Level 3) | Cross currency swaps    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Derivative liability 0 0
Marketable securities    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Marketable securities 12,388 10,368
Marketable securities | Quoted Prices in Active Markets for Indentical Assets (Level 1)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Marketable securities 12,388 10,368
Marketable securities | Significant Other Observable Inputs (Level 2)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Marketable securities 0 0
Marketable securities | Significant unobservable Inputs (Level 3)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Marketable securities 0 0
Annuity contract    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Annuity contract 1,409 1,612
Annuity contract | Quoted Prices in Active Markets for Indentical Assets (Level 1)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Annuity contract 0 0
Annuity contract | Significant Other Observable Inputs (Level 2)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Annuity contract 1,409 1,612
Annuity contract | Significant unobservable Inputs (Level 3)    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Annuity contract $ 0 $ 0