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Goodwill and Intangible Assets (Details) - USD ($)
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Finite-Lived Intangible Assets [Line Items]      
Gain (Loss) on Disposition of Business $ 0 $ 0 $ (176,000)
Gain (Loss) on Disposition of Property Plant Equipment     0
Goodwill, Impaired, Accumulated Impairment Loss 113,174,000 113,174,000  
Goodwill [Roll Forward]      
Opening Balance 331,176,000 319,679,000  
Acquisition of Hebetechnik (See Note 3) (10,684,000) 11,497,000  
Closing Balance 648,849,000 331,176,000 319,679,000
Gross Carrying  Amount 491,590,000 292,783,000  
Indefinite-lived trademark 46,721,000 47,857,000  
Accumulated Amortization (100,802,000) (79,421,000)  
  Net 390,788,000 213,362,000  
Amortization of intangibles 25,283,000 12,623,000 $ 12,942,000
Dorner      
Goodwill [Roll Forward]      
Closing Balance 287,141,000    
Garvey      
Goodwill [Roll Forward]      
Closing Balance 41,216,000    
Trademark      
Goodwill [Roll Forward]      
Gross Carrying  Amount 19,529,000 6,377,000  
Accumulated Amortization (5,032,000) (4,760,000)  
  Net 14,497,000 1,617,000  
Customer relationships      
Goodwill [Roll Forward]      
Gross Carrying  Amount 325,431,000 188,447,000  
Accumulated Amortization (71,202,000) (55,785,000)  
  Net 254,229,000 132,662,000  
Acquired technology      
Goodwill [Roll Forward]      
Gross Carrying  Amount 96,433,000 46,843,000  
Accumulated Amortization (21,789,000) (16,021,000)  
  Net 74,644,000 30,822,000  
Other      
Goodwill [Roll Forward]      
Gross Carrying  Amount 3,476,000 3,259,000  
Accumulated Amortization (2,779,000) (2,855,000)  
  Net $ 697,000 $ 404,000