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Goodwill and Intangible Assets (Details) - USD ($)
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Finite-Lived Intangible Assets [Line Items]      
Gain (Loss) on Disposition of Business $ (176,000) $ (25,672,000) $ 0
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 322,816,000 347,434,000  
Acquisition of Hebetechnik (See Note 3) (3,137,000) (18,444,000)  
Closing Balance 319,679,000 322,816,000 347,434,000
Gross Carrying Amount 282,380,000 285,490,000  
Indefinite-lived trademark 46,670,000 46,981,000  
Accumulated Amortization (64,418,000) (52,550,000)  
Net 217,962,000 232,940,000  
Amortization of intangibles 12,942,000 14,900,000 15,552,000
Trademark      
Goodwill [Roll Forward]      
Gross Carrying Amount 6,016,000 6,212,000  
Accumulated Amortization (4,238,000) (4,138,000)  
Net 1,778,000 2,074,000  
Customer relationships      
Goodwill [Roll Forward]      
Gross Carrying Amount 179,882,000 182,328,000  
Accumulated Amortization (44,216,000) (35,344,000)  
Net 135,666,000 146,984,000  
Acquired technology      
Goodwill [Roll Forward]      
Gross Carrying Amount 46,669,000 46,715,000  
Accumulated Amortization (13,306,000) (10,412,000)  
Net 33,363,000 36,303,000  
Other      
Goodwill [Roll Forward]      
Gross Carrying Amount 3,143,000 3,254,000  
Accumulated Amortization (2,658,000) (2,656,000)  
Net $ 485,000 598,000  
STAHL [Member]      
Finite-Lived Intangible Assets [Line Items]      
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Intangibles   (6,174,000)  
Goodwill [Member]      
Finite-Lived Intangible Assets [Line Items]      
Gain (Loss) on Disposition of Property Plant Equipment   $ 6,174,000 $ 0