Other Operating Income, Net - Components of Other Operating Income, Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 28, 2017	Jan. 30, 2016	Jan. 31, 2015
Other Income and Expenses [Abstract]
Interest income from in-house customer finance programs	$ 282.5	$ 252.6	$ 217.9
Other	0.1	(1.7)	(2.6)
Other operating income, net	$ 282.6	$ 250.9	$ 215.3