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Stock-Based Compensation Stock Options Excercisable (Details 3) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested Options Forfeited, Number of Shares 882 1,570  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested Options Forfeited, Weighted Average Grant Date Fair Value $ 41.26 $ 40.87  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Number of Shares (671)    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Weighted Average Grant Date Fair Value $ 43.63    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested Options Forfeited, Number of Shares (17)    
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 3,233    
Income Tax Expense (Benefit) $ 20,561 $ (102,510) $ 84,175
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 39.12 $ 37.64 $ 35.04
Employee Service Share-based Compensation, Tax Benefit from Exercise of Stock Options $ 198 $ 1,408 $ 725
Share-based Compensation Arrangement by Share-based Payment Award, Options, Forfeitures and Expirations in Period, Weighted Average Exercise Price $ 38.78    
Restricted Stock Units (RSUs) [Member]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Income Tax Expense (Benefit) $ 12,767 20,972 21,138
Employee Stock Option      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 4,115    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value $ 1,084 $ 4,647 $ 2,289
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value   $ 8.41 $ 7.78
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Number 3,233 2,867 2,688
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term 3 years 73 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Intrinsic Value $ 1,277    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Intrinsic Value 1,277    
Employee Service Share-based Compensation, Tax Benefit from Exercise of Stock Options $ 1,170 $ 2,715 $ 3,178
Range of exercise price, 14.81 - 25.00 [Member] [Member]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 1 year 47 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price $ 23.72    
Range of exercise price, 14.81 - 25.00 [Member] [Member] | Employee Stock Option      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 350    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 350    
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 23.72    
Range of exercise price, 25.01 - 35.00 [Member]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 3 years 324 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price $ 31.82    
Range of exercise price, 25.01 - 35.00 [Member] | Employee Stock Option      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 1,090    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 1,447    
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 31.99    
Range of exercise price, 35.01 - 55.18 [Member]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 3 years 314 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price $ 45.87    
Range of exercise price, 35.01 - 55.18 [Member] | Employee Stock Option      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 1,793    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 2,318    
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 46.46    
Permal [Member] | Management Equity Plan [Member]      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Share-based Liabilities Paid     $ 7,150