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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill by Business Segment (Detail) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Goodwill [Roll Forward]    
Balance at beginning of year $ 352,805 $ 328,657
Acquisitions during the year 320,618 3,670
Foreign currency translation adjustment (17,024) 20,478
Balance at end of year 656,399 352,805
Americas    
Goodwill [Roll Forward]    
Balance at beginning of year 151,255 146,982
Acquisitions during the year 320,618 3,670
Foreign currency translation adjustment (1,679) 603
Balance at end of year 470,194 151,255
EMEA    
Goodwill [Roll Forward]    
Balance at beginning of year 155,825 138,813
Acquisitions during the year 0 0
Foreign currency translation adjustment (12,556) 17,012
Balance at end of year 143,269 155,825
Asia    
Goodwill [Roll Forward]    
Balance at beginning of year 45,725 42,862
Acquisitions during the year 0 0
Foreign currency translation adjustment (2,789) 2,863
Balance at end of year $ 42,936 $ 45,725