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Fair Value Measurements - Schedule of Financial Assets and Liabilities Measured or Disclosed at Fair Value (Details) - USD ($) $ in Thousands	Mar. 31, 2024	Mar. 31, 2023
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Marketable securities	$ 11,447	$ 10,368
Term loan
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	(479,351)	(460,825)
AR Securitization
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 (liabilities)	(77)	97
Interest rate swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Derivative assets (liabilities)	7,122	10,475
Cross currency swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cross currency swap	(2,342)	(2,102)
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Term loan
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
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 (liabilities)	0	0
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Interest rate swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Derivative assets (liabilities)	0	0
Quoted Prices in Active Markets for Indentical Assets (Level 1) | Cross currency swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cross currency swap	0	0
Significant Other Observable Inputs (Level 2) | Term loan
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	(479,351)	(460,825)
Significant Other Observable Inputs (Level 2) | AR Securitization
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 (liabilities)	(77)	97
Significant Other Observable Inputs (Level 2) | Interest rate swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Derivative assets (liabilities)	7,122	10,475
Significant Other Observable Inputs (Level 2) | Cross currency swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cross currency swap	(2,342)	(2,102)
(Level 3) | Term loan
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	0	0
(Level 3) | AR Securitization
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	0
(Level 3) | Foreign exchange contracts
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Derivative assets (liabilities)	0	0
(Level 3) | Interest rate swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Derivative assets (liabilities)	0	0
(Level 3) | Cross currency swap
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cross currency swap	0	0
Marketable securities
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Marketable securities	11,447
Marketable securities | Quoted Prices in Active Markets for Indentical Assets (Level 1)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Marketable securities	11,447	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 | (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	1,390	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	1,390	1,612
Annuity contract | (Level 3)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Annuity contract	$ 0	$ 0

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