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Employee Benefit Plans | Restricted Stock (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Jan. 31, 2018
Nov. 12, 2019
Minimum        
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      
Maximum        
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      
Restricted Stock Units (RSUs) [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Restricted Stock or Unit Expense $ 23.4 $ 25.4 $ 25.8  
Nonvested at January 31 649,122      
Granted 228,528 280,352 454,480  
Vested 266,405      
Canceled 36,265      
Nonvested at January 31 574,980 649,122    
Weighted-average grant date fair value, Nonvested at January 31 $ 85.71      
Weighted-average grant date fair value, Granted 102.43 $ 85.50 $ 92.08  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value 85.89      
Weighted-average grant date fair value, Canceled 92.70      
Weighted-average grant date fair value, Nonvested at January 31 $ 91.84 $ 85.71    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value $ 22.9 $ 21.1 $ 12.7  
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 19.6      
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition 1 year 7 months 6 days      
Restricted Stock Units (RSUs) [Member] | Minimum        
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      
Restricted Stock Units (RSUs) [Member] | Maximum        
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      
Apollo [Domain]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Business Acquisition, Share Price       $ 145