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Property, Plant and Equipment - (Details) - USD ($)
$ in Millions
Jan. 31, 2019
Jan. 31, 2018
Property, Plant and Equipment [Abstract]    
Land $ 41.8 $ 41.8
Buildings 122.6 123.0
Leasehold and building improvements 1,378.1 1,328.6
Office equipment 286.0 267.4
Software 452.2 353.2
Furniture and fixtures 315.0 311.6
Machinery and equipment 197.8 187.4
Construction-in-progress 98.7 105.1
Property, plant and equipment, gross 2,892.2 2,718.1
Accumulated depreciation and amortization (1,865.5) (1,727.6)
Property, plant and equipment, net $ 1,026.7 $ 990.5