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Property, Plant and Equipment - (Details) - USD ($)
$ in Millions
Jan. 31, 2020
Jan. 31, 2019
Property, Plant and Equipment [Abstract]    
Land $ 41.7 $ 41.8
Buildings 122.3 122.6
Leasehold and building improvements 1,489.9 1,378.1
Office equipment 300.1 286.0
Software 506.0 452.2
Furniture and fixtures 333.1 315.0
Machinery and equipment 208.2 197.8
Construction-in-progress 158.0 98.7
Property, plant and equipment, gross 3,159.3 2,892.2
Accumulated depreciation and amortization (2,060.5) (1,865.5)
Property, plant and equipment, net $ 1,098.8 $ 1,026.7