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Goodwill and Intangible Assets (Details) - USD ($)
 12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]      
Gain (Loss) on Disposition of Business $ 0 $ (176,000) $ (25,672,000)
Gain (Loss) on Disposition of Property Plant Equipment (2,638,000) 0 0
Goodwill, Impaired, Accumulated Impairment Loss 113,174,000 113,174,000  
Goodwill [Roll Forward]      
Opening Balance 319,679,000 322,816,000  
Acquisition of Hebetechnik (See Note 3) 11,497,000 (3,137,000)  
Closing Balance 331,176,000 319,679,000 322,816,000
Gross Carrying  Amount 292,783,000 282,380,000  
Indefinite-lived trademark 47,857,000 46,670,000  
Accumulated Amortization (79,421,000) (64,418,000)  
  Net 213,362,000 217,962,000  
Amortization of intangibles 12,623,000 12,942,000 $ 14,900,000
Impairment charges related to goodwill or intangible assets 0 0  
Trademark      
Goodwill [Roll Forward]      
Gross Carrying  Amount 6,377,000 6,016,000  
Accumulated Amortization (4,760,000) (4,238,000)  
  Net 1,617,000 1,778,000  
Customer relationships      
Goodwill [Roll Forward]      
Gross Carrying  Amount 188,447,000 179,882,000  
Accumulated Amortization (55,785,000) (44,216,000)  
  Net 132,662,000 135,666,000  
Acquired technology      
Goodwill [Roll Forward]      
Gross Carrying  Amount 46,843,000 46,669,000  
Accumulated Amortization (16,021,000) (13,306,000)  
  Net 30,822,000 33,363,000  
Other      
Goodwill [Roll Forward]      
Gross Carrying  Amount 3,259,000 3,143,000  
Accumulated Amortization (2,855,000) (2,658,000)  
  Net $ 404,000 485,000  
Goodwill [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gain (Loss) on Disposition of Property Plant Equipment   $ 6,174,000