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BALANCE SHEET ITEMS - Goodwill and Other Intangible Assets (Details)
$ in Thousands
9 Months Ended
Dec. 31, 2017
USD ($)
segment
Mar. 31, 2017
USD ($)
Goodwill [Line Items]    
Number of operating segments | segment 4  
Activity in goodwill account    
Balance, beginning of the year $ 984,867  
Additions 84,454  
Divestitures (3,475)  
Purchase accounting adjustments (14)  
Foreign currency translation adjustments 38,938  
Balance, end of the period 1,104,770  
Gross Carrying Amount 671,878 $ 544,601
Accumulated Amortization (233,326) (182,420)
Net Carrying Amount 438,552 362,181
HRS    
Activity in goodwill account    
Balance, beginning of the year 420,935  
Additions 75,280  
Divestitures 0  
Purchase accounting adjustments 0  
Foreign currency translation adjustments 38,938  
Balance, end of the period 535,153  
CTG    
Activity in goodwill account    
Balance, beginning of the year 111,223  
Additions 0  
Divestitures (3,475)  
Purchase accounting adjustments 0  
Foreign currency translation adjustments 0  
Balance, end of the period 107,748  
IEI    
Activity in goodwill account    
Balance, beginning of the year 337,707  
Additions 0  
Divestitures 0  
Purchase accounting adjustments 0  
Foreign currency translation adjustments 0  
Balance, end of the period 337,707  
CEC    
Activity in goodwill account    
Balance, beginning of the year 115,002  
Additions 9,174  
Divestitures 0  
Purchase accounting adjustments (14)  
Foreign currency translation adjustments 0  
Balance, end of the period 124,162  
Customer-related intangibles    
Activity in goodwill account    
Gross Carrying Amount 369,356 260,704
Accumulated Amortization (135,411) (105,912)
Net Carrying Amount 233,945 154,792
Licenses and other intangibles    
Activity in goodwill account    
Gross Carrying Amount 302,522 283,897
Accumulated Amortization (97,915) (76,508)
Net Carrying Amount 204,607 $ 207,389
Mirror Controls International | HRS    
Activity in goodwill account    
Foreign currency translation adjustments 38,900  
AGM Automotive    
Activity in goodwill account    
Balance, end of the period 75,280  
Intangible assets acquired during period 82,000  
AGM Automotive | HRS    
Activity in goodwill account    
Intangible assets acquired during period $ 82,000  
AGM Automotive | Customer-related intangibles | HRS    
Activity in goodwill account    
Weighted average useful life 10 years  
Power Modules    
Activity in goodwill account    
Balance, end of the period $ 9,174  
Intangible assets acquired during period 34,500  
Power Modules | CEC    
Activity in goodwill account    
Intangible assets acquired during period $ 34,500  
Weighted average useful life 9 years  
Wink Labs Inc    
Activity in goodwill account    
Divestitures $ (3,500)  
Wink Labs Inc | CTG    
Activity in goodwill account    
Decrease in intangible assets due to divestiture $ 7,500