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Acquisitions (Narratives) (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Dec. 01, 2021
Nov. 30, 2021
Apr. 07, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Mar. 31, 2022
Business Acquisition [Line Items]                
Bridge Loan       $ 650,000   $ 650,000    
Line of Credit Facility, Maximum Borrowing Capacity       100,000   100,000    
Payments to Acquire Businesses, Net of Cash Acquired           $ 1,616 $ 472,954  
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life           17 years    
Deferred Compensation Arrangement with Individual, Compensation Expense             $ 970  
Deferred Compensation Arrangement with Individual, Requisite Service Period             45 days  
Revenue from Contract with Customer, Excluding Assessed Tax       231,740 $ 223,635 $ 452,027 $ 437,099  
Operating Income (Loss)       27,372 23,660 50,191 34,406  
Cost of Goods and Services Sold       145,430 142,500 283,191 281,901  
Goodwill       627,850   627,850   $ 648,849
Acquisition Costs, Period Cost         414   8,686  
Amortization of Intangible Assets       6,447 6,285 12,982 12,394  
Unrealized Gain (Loss) on Investments       372 78 $ 920 70  
Cost of Goods and Service, Product and Service Benchmark                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense             521  
Selling and Marketing Expense [Member]                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense             350  
General and Administrative Expense [Member]                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense             74  
Research and Development Expense                
Business Acquisition [Line Items]                
Deferred Compensation Arrangement with Individual, Compensation Expense             25  
Other                
Business Acquisition [Line Items]                
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life           5 years    
Technology-Based Intangible Assets [Member]                
Business Acquisition [Line Items]                
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life           16 years    
Customer relationships                
Business Acquisition [Line Items]                
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life           17 years    
Trademark                
Business Acquisition [Line Items]                
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life           14 years    
Dorner                
Business Acquisition [Line Items]                
Schedule of Recognized Identified Assets Acquired and Liabilities Assumed    
The assignment of purchase consideration to the assets acquired and liabilities assumed is as follows (in thousands):

Cash$8,058 
Working Capital20,218 
Property, plant, and equipment, net26,104 
Intangible assets190,000 
Other assets658 
Other liabilities(896)
Finance lease liabilities(14,582)
Deferred and other taxes, net(35,689)
Goodwill287,141 
Total$481,012 
          
Payments to Acquire Businesses, Net of Cash Acquired     $ 481,012          
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     15 years          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents     $ 8,058          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets     20,218          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles     190,000          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment     26,104          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets     658          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other     (896)          
Business Combination, Recognized Identifiable Asset Acquired and Liability Assumed, Lease Obligation     (14,582)          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities     (35,689)          
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net     287,141          
Revenue from Contract with Customer, Excluding Assessed Tax         33,539   67,718  
Operating Income (Loss)         $ 3,161   4,324  
Cost of Goods and Services Sold             2,981  
Goodwill     287,141          
Business Acquisition, Goodwill, Expected Tax Deductible Amount     8,000          
Acquisition Costs, Period Cost           $ 0    
Severance Costs             $ 218  
Dorner | Trade Names                
Business Acquisition [Line Items]                
Indefinite-lived Intangible Assets Acquired     8,000          
Dorner | Technology-Based Intangible Assets [Member]                
Business Acquisition [Line Items]                
Indefinite-lived Intangible Assets Acquired     45,000          
Dorner | Customer relationships                
Business Acquisition [Line Items]                
Indefinite-lived Intangible Assets Acquired     $ 137,000          
Garvey                
Business Acquisition [Line Items]                
Schedule of Recognized Identified Assets Acquired and Liabilities Assumed
The preliminary assignment of purchase consideration to the assets acquired and liabilities assumed is as follows (in thousands):
Cash$907 
Working Capital1,709 
Property, plant, and equipment, net3,072 
Intangible assets21,350 
Other assets1,382 
Other liabilities(1,905)
Goodwill40,832 
Total$67,347 
              
Payments to Acquire Businesses, Net of Cash Acquired $ 67,347              
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 10 years              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents $ 907              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets 1,709              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles 21,350              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 3,072              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets 1,382              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other (1,905)              
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net 40,832              
Acquisition Costs, Period Cost           0    
Cash Acquired from Acquisition 907              
Debt Instrument, Increase (Decrease), Other, Net   $ 75,000            
Business Combination, Contingent Consideration, Liability, Noncurrent 2,000              
Payments for (Proceeds from) Previous Acquisition       $ 1,616   $ 384    
Garvey | Other                
Business Acquisition [Line Items]                
Finite-Lived Intangible Assets Acquired 330              
Garvey | Customer relationships                
Business Acquisition [Line Items]                
Indefinite-lived Intangible Assets Acquired 8,200              
Garvey | Technology Service                
Business Acquisition [Line Items]                
Finite-Lived Intangible Assets Acquired 4,670              
Garvey | Trademark                
Business Acquisition [Line Items]                
Finite-Lived Intangible Assets Acquired 3,610              
Garvey | Patents                
Business Acquisition [Line Items]                
Finite-Lived Intangible Assets Acquired 2,440              
Garvey | Order or Production Backlog                
Business Acquisition [Line Items]                
Finite-Lived Intangible Assets Acquired $ 2,100