CONSOLIDATED STATEMENTS OF EARNINGS - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Jan. 31, 2019	Jan. 31, 2018	Jan. 31, 2017
Income Statement [Abstract]
Net sales	$ 4,442.1	$ 4,169.8	$ 4,001.8
Cost of sales	1,631.1	1,559.1	1,502.8
Gross profit	2,811.0	2,610.7	2,499.0
Selling, general and administrative expenses	2,020.7	1,801.3	1,752.6
Earnings from operations	790.3	809.4	746.4
Interest expense and financing costs	39.7	42.0	46.0
Other expense, net	7.1	6.9	23.8
Earnings from operations before income taxes	743.5	760.5	676.6
Provision for income taxes	157.1	390.4	230.5
Net earnings	$ 586.4	$ 370.1	$ 446.1
Net earnings per share:
Basic (usd per share)	$ 4.77	$ 2.97	$ 3.57
Diluted (usd per share)	$ 4.75	$ 2.96	$ 3.55
Weighted-average number of common shares:
Basic (shares)	122.9	124.5	125.1
Diluted (shares)	123.5	125.1	125.5