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Stock Repurchase Programs (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Aug. 04, 2018	Jul. 29, 2017	Aug. 04, 2018	Jul. 29, 2017	Jan. 28, 2017
Schedule of Share Repurchase Program Activity [Abstract]
Stock Repurchase Program, Authorized Amount	$ 500.0		$ 500.0		$ 500.0
Number of shares repurchased	0.0	1.4	0.5	3.1
Amount of shares repurchased	$ 3.1	$ 69.5	$ 37.9	$ 160.6
Average price of shares repurchased (in dollars per share)	$ 77.75	$ 50.00	$ 73.15	$ 52.08
Repurchase of common stock remaining authorization	$ 496.9		$ 496.9

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Schedule of Share Repurchase Program Activity [Abstract]

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Amount of stock repurchase plan authorized.

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Amount remaining of a stock repurchase plan authorized.

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Total cost of shares repurchased divided by the total number of shares repurchased.

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Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 30
-Section 45
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6405813&loc=d3e23239-112655

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Number of shares that have been repurchased during the period and are being held in treasury.

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
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-Subparagraph (SX 210.3-04)
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Equity impact of the cost of common and preferred stock that were repurchased during the period. Recorded using the cost method.

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