Computer Equipment, Software, Leasehold Improvements, and Furniture, Net (Details) - USD ($) $ in Millions	Oct. 31, 2020	Jan. 31, 2020
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	$ 620.4	$ 576.7
Less: Accumulated depreciation	(428.9)	(415.0)
Computer hardware, software, leasehold improvements, and furniture and equipment, net	191.5	161.7
Computer hardware
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	150.2	159.7
Computer software
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	62.1	64.0
Leasehold improvements, land and buildings
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	330.4	284.0
Furniture and Equipment
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	$ 77.7	$ 69.0

Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services.

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Amount before accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures.

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