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Acquisitions (Narratives) (Details) - USD ($)
3 Months Ended 4 Months Ended 12 Months Ended
Dec. 01, 2021
Apr. 07, 2021
Jun. 30, 2022
Mar. 31, 2022
Mar. 31, 2022
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Business Acquisition [Line Items]                
Gain (Loss) on Disposition of Property Plant Equipment               $ 0
Revenue from Contract with Customer, Excluding Assessed Tax         $ 906,555,000   $ 649,642,000 809,162,000
Gain (Loss) on Disposition of Business         0   0 (176,000)
Net sales:         $ 906,555,000   649,642,000 809,162,000
Estimated useful life 10 years 15 years     17 years      
Line of Credit Facility, Maximum Borrowing Capacity       $ 100,000,000 $ 100,000,000 $ 100,000,000    
Long-term Debt       $ 497,135,000 $ 497,135,000 $ 497,135,000 $ 248,954,000  
Common Stock, Shares, Issued       28,517,333 28,517,333 28,517,333 23,984,299  
Voting common stock: 50,000,000 shares authorized; 28,517,333 and 23,984,299 shares issued and outstanding       $ 285,000 $ 285,000 $ 285,000 $ 240,000  
Extinguishment of Debt, Amount         14,803,000   0 0
Gross balance of deferred costs       6,323,000 $ 6,323,000 6,323,000    
Stock Issued During Period, Shares, New Issues         4,312,500      
Proceeds from Issuance of Common Stock         $ 207,000,000      
Operating Income (Loss)         73,781,000   42,255,000 89,824,000
Cost of Goods and Services Sold         590,825,000   429,417,000 525,976,000
Deferred Compensation Arrangement with Individual, Compensation Expense         $ 0 970,000 0 0
Deferred Compensation Arrangement with Individual, Requisite Service Period         45 days      
Bridge Loan       650,000,000 $ 650,000,000 650,000,000    
Goodwill       648,849,000 648,849,000 648,849,000 331,176,000 319,679,000
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net   $ 481,012,000   67,731,000 67,731,000 67,731,000    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents $ 907,000 8,058,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets 1,709,000 20,218,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 3,072,000 26,104,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 21,350,000 190,000,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets 1,382,000 658,000            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other (1,905,000) (896,000)            
Business Combination, Recognized Identifiable Asset Acquired and Liability Assumed, Lease Obligation   (14,582,000)            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities   (35,689,000)            
Business Acquisition, Pro Forma Revenue             762,955,000  
Business Acquisition, Pro Forma Net Income (Loss)             (9,743,000)  
Debt Instrument, Increase (Decrease), Other, Net         75,000,000      
Proceeds from Sales of Assets, Investing Activities         461,000   5,453,000 0
Dorner                
Business Acquisition [Line Items]                
Goodwill       287,141,000 287,141,000 287,141,000    
Garvey                
Business Acquisition [Line Items]                
Goodwill       41,216,000 41,216,000 41,216,000    
Cost of Goods and Service, Product and Service Benchmark                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense           521,000    
Selling and Marketing Expense [Member]                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense           350,000    
General and Administrative Expense                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense           74,000    
Business Combination, Acquisition Related Costs       376,000        
Research and Development Expense                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense           25,000    
Line of Credit                
Business Acquisition [Line Items]                
Extinguishment of Debt, Amount         326,000      
Gross balance of deferred costs       4,027,000 4,027,000 4,027,000 3,615,000  
Bridge Loan                
Business Acquisition [Line Items]                
Extinguishment of Debt, Amount         8,531,000      
First Lien Facilities                
Business Acquisition [Line Items]                
Long-term Debt       750,000,000 750,000,000 750,000,000    
Estimate of Fair Value Measurement | Office Building                
Business Acquisition [Line Items]                
Proceeds from Sale of Buildings             6,363,000  
United States                
Business Acquisition [Line Items]                
Net sales:         548,620,000   348,986,000 450,242,000
Business Exit Costs             (1,797,000) $ (2,958,000)
Cost of Sales [Member] | FRANCE                
Business Acquisition [Line Items]                
Business Exit Costs             (815,000)  
Selling and Marketing Expense [Member] | FRANCE                
Business Acquisition [Line Items]                
Business Exit Costs             (94,000)  
General and Administrative Expense | FRANCE                
Business Acquisition [Line Items]                
Business Exit Costs             (327,000)  
United States                
Business Acquisition [Line Items]                
Gain (Loss) on Disposition of Property Plant Equipment         $ (375,000)      
Asia Pacific [Member]                
Business Acquisition [Line Items]                
Gain (Loss) on Disposition of Property Plant Equipment             (2,638,000)  
Asia Pacific [Member] | General and Administrative Expense                
Business Acquisition [Line Items]                
Gain (Loss) on Disposition of Property Plant Equipment             (449,000)  
Asia Pacific [Member] | Cost of products sold                
Business Acquisition [Line Items]                
Gain (Loss) on Disposition of Property Plant Equipment             $ (2,189,000)  
Engineered drawings                
Business Acquisition [Line Items]                
Estimated useful life         5 years      
Finite-lived Intangible Assets Acquired       330,000        
Customer relationships                
Business Acquisition [Line Items]                
Estimated useful life         17 years      
Customer Receipts                
Business Acquisition [Line Items]                
Finite-lived Intangible Assets Acquired       8,200,000   137,000,000    
Acquired technology                
Business Acquisition [Line Items]                
Estimated useful life         16 years      
Finite-lived Intangible Assets Acquired           45,000,000    
Trade Names                
Business Acquisition [Line Items]                
Finite-lived Intangible Assets Acquired           8,000,000    
Technology Service                
Business Acquisition [Line Items]                
Finite-lived Intangible Assets Acquired       4,670,000        
Trademark                
Business Acquisition [Line Items]                
Estimated useful life         14 years      
Finite-lived Intangible Assets Acquired       3,610,000        
Patents                
Business Acquisition [Line Items]                
Finite-lived Intangible Assets Acquired       2,440,000        
Order or Production Backlog                
Business Acquisition [Line Items]                
Finite-lived Intangible Assets Acquired       2,100,000        
STAHL [Member] | Line of Credit                
Business Acquisition [Line Items]                
Secured Long-term Debt, Noncurrent       (445,000,000) $ (445,000,000) (445,000,000)    
STAHL [Member] | New Revolving Credit Facility                
Business Acquisition [Line Items]                
Secured Long-term Debt, Noncurrent       (100,000,000) (100,000,000) (100,000,000)    
Dorner                
Business Acquisition [Line Items]                
Revenue from Contract with Customer, Excluding Assessed Tax           132,014,000    
Secured Long-term Debt, Noncurrent       (750,000,000) (750,000,000) (750,000,000)    
Payments to Acquire Businesses, Net of Cash Acquired   $ 481,012,000            
Operating Income (Loss)           12,451,000    
Severance Costs           218,000    
Cost of Goods and Services Sold           2,981,000    
Business Acquisition, Goodwill, Expected Tax Deductible Amount       8,000,000 8,000,000 8,000,000    
Dorner | Forecast                
Business Acquisition [Line Items]                
Stock Issued During Period, Value, New Issues     $ 198,705,000          
Dorner | Line of Credit                
Business Acquisition [Line Items]                
Secured Long-term Debt, Noncurrent       (100,000,000) (100,000,000) (100,000,000)    
Dorner | Bridge Loan                
Business Acquisition [Line Items]                
Secured Long-term Debt, Noncurrent       (650,000,000) (650,000,000) (650,000,000)    
Garvey                
Business Acquisition [Line Items]                
Payments to Acquire Business Two, Net of Cash Acquired 67,731,000              
Cash Acquired from Acquisition $ 907,000              
Business Combination, Contingent Consideration, Liability       $ 2,000,000 $ 2,000,000 $ 2,000,000