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Retirement Benefit Plans - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2019
Jan. 31, 2018
Jan. 31, 2017
Defined Contribution Plan Disclosure [Line Items]      
Funded percentage 88.00%    
Accumulated benefit obligation $ 85.1 $ 139.5  
Estimated future employer contributions in next fiscal year $ 4.6    
Expected long-term rate of return on plan assets 3.30% 3.30% 4.30%
United States      
Defined Contribution Plan Disclosure [Line Items]      
Maximum annual contributions per employee 75.00%    
Cost Recognized $ 17.1 $ 17.3 $ 16.4
Foreign Plan      
Defined Contribution Plan Disclosure [Line Items]      
Contributions paid by employer $ 29.6 $ 27.2 $ 26.6
Insurance contracts      
Defined Contribution Plan Disclosure [Line Items]      
Actual plan asset allocations 35.00% 44.00%  
Mandatory Retirement Savings, Cash Balance Plan      
Defined Contribution Plan Disclosure [Line Items]      
Weighted-average interest crediting rate 1.00% 1.00% 1.30%
Supplementary Retirement Savings, Cash Balance Plan      
Defined Contribution Plan Disclosure [Line Items]      
Weighted-average interest crediting rate 0.30% 0.30% 0.80%