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Retirement Benefit Plans - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Jan. 31, 2015
Compensation and Retirement Disclosure [Abstract]        
Funded percentage   73.00%    
Accumulated benefit obligation   $ 128.2 $ 127.1  
Actual plan asset allocations   43.00% 42.00%  
Expected long-term rate of return on plan assets   4.30% 3.80% 3.90%
United States Pension Plan of US Entity        
Defined Contribution Plan Disclosure [Line Items]        
Maximum annual contributions per employee   50.00%    
Cost Recognized   $ 16.4 $ 17.3 $ 11.2
Foreign Pension Plan        
Defined Contribution Plan Disclosure [Line Items]        
Contributions paid by employer   $ 26.6 $ 23.0 $ 23.5
Scenario, Forecast        
Defined Contribution Plan Disclosure [Line Items]        
Estimated future employer contributions in next fiscal year $ 4.3