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Commitments and Contingencies - Future Minimum Lease Payments (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Future Minimum Lease Payments [Abstract]      
2019 $ 62.2    
2020 46.3    
2021 34.1    
2022 24.7    
2023 22.8    
Thereafter 57.7    
Future minimum lease payments required 247.8    
Less: Sublease income 0.8    
Future minimum lease payments required, net 247.0    
Rent expense $ 55.9 $ 65.3 $ 58.7