Computer Equipment, Software, Leasehold Improvements, and Furniture, Net (Details) - USD ($) $ in Millions	Oct. 31, 2021	Jan. 31, 2021
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	$ 630.7	$ 635.5
Less: Accumulated depreciation	(437.1)	(442.7)
Computer hardware, software, leasehold improvements, and furniture and equipment, net	193.6	192.8
Computer hardware, at cost
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	133.1	153.3
Computer software, at cost
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	55.1	57.9
Leasehold improvements, land and buildings, at cost
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	343.7	335.9
Furniture and equipment, at cost
Property, Plant and Equipment [Line Items]
Computer software, hardware, leasehold improvements, furniture and equipment, gross	$ 98.8	$ 88.4

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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