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Acquisitions - Assets and Liabilities Acquired (Details) - USD ($)
$ in Thousands
Dec. 07, 2018
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Business Acquisition [Line Items]        
Goodwill   $ 705,593 $ 663,936 $ 656,399
Alpha        
Business Acquisition [Line Items]        
Accounts receivable $ 115,467      
Inventories 84,297      
Other current assets 6,822      
Other intangible assets 332,000      
Property, plant and equipment 20,987      
Other assets 9,005      
Total assets acquired 568,578      
Accounts payable 35,803      
Accrued liabilities 41,918      
Deferred income taxes 54,941      
Other liabilities 12,642      
Total liabilities assumed 145,304      
Net assets acquired 423,274      
Cash paid for net assets acquired 650,000      
Fair value of shares issued for net assets acquired 93,268      
Working capital adjustment (766)      
Total purchase consideration 742,502      
Goodwill $ 319,228