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Stock Compensation Plans (Details) - USD ($)
$ / shares in Units, shares in Millions
12 Months Ended
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
MaximumValuePerNonemployeeDirectorInStockOptionOrAwardPerYear $ 750,000    
Employee Service Share-based Compensation, Nonvested Awards, Compensation Cost Not yet Recognized $ 69,400,000    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value $ 18.33 $ 14.36 $ 14.42
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value $ 31,200,000 $ 4,500,000 $ 2,400,000
Employee Service Share-based Compensation, Nonvested Awards, Compensation Cost Not yet Recognized, Period for Recognition 2 years 8 months    
Allocated Share-based Compensation Expense $ 28,000,000 24,300,000 24,500,000
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense $ 8,500,000 7,700,000 7,900,000
Director Option Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 1.0    
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Date 10 years    
Performance Based Restricted Stock units (PSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value $ 3,400,000 6,300,000 4,100,000
Restricted Stock Units (RSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value $ 22,200,000 $ 13,600,000 $ 18,000,000
Employee Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 8.7    
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Date 10 years    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 25.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 4 years    
Director [Member] | Restricted Stock Units (RSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 1 year