CONSOLIDATED STATEMENT OF STOCKHOLDERS' EQUITY - USD ($) shares in Millions, $ in Millions	Total	Retained Earnings	Accumulated Other Comprehensive Loss	Common Stock	Additional Paid-In Capital	Non-controlling Interests
Beginning balance at Jan. 31, 2017	$ 3,028.4	$ 2,078.3	$ (256.2)	$ 1.2	$ 1,190.2	$ 14.9
Beginning balance (shares) at Jan. 31, 2017				124.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Exercise of stock options and vesting of restricted stock units (RSUs)	54.6				54.6
Exercise of stock options and vesting of restricted stock units (RSUs) (shares)				1.1
Shares withheld related to net share settlement of share-based compensation	(8.6)				(8.6)
Shares withheld related to net share settlement of share-based compensation (shares)				(0.1)
Share-based compensation expense	28.2				28.2
Purchase and retirement of Common Stock	$ (99.2)	(90.8)			(8.4)
Purchase and retirement of Common Stock (shares)	(1.0)			(1.0)
Cash dividends on Common Stock	$ (242.6)	(242.6)
Accrued dividends on share-based awards	(0.8)	(0.8)
Other comprehensive earnings, net of tax	118.2		118.2
Net earnings	370.1	370.1
Non-controlling interests	(0.1)					(0.1)
Ending balance at Jan. 31, 2018	3,248.2	2,114.2	(138.0)	$ 1.2	1,256.0	14.8
Ending balance (shares) at Jan. 31, 2018				124.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Exercise of stock options and vesting of restricted stock units (RSUs)	23.1				23.1
Exercise of stock options and vesting of restricted stock units (RSUs) (shares)				0.6
Shares withheld related to net share settlement of share-based compensation	(8.6)				(8.6)
Shares withheld related to net share settlement of share-based compensation (shares)				(0.1)
Share-based compensation expense	34.1				34.1
Purchase and retirement of Common Stock	$ (421.4)	(392.1)			(29.3)
Purchase and retirement of Common Stock (shares)	(3.5)			(3.5)
Cash dividends on Common Stock	$ (263.8)	(263.8)
Accrued dividends on share-based awards	(1.1)	(1.2)			0.1
Other comprehensive earnings, net of tax	(68.6)		(68.6)
Net earnings	586.4	586.4
Non-controlling interests	(1.3)					(1.3)
Ending balance at Jan. 31, 2019	$ 3,130.9	2,045.6	(204.8)	$ 1.2	1,275.4	13.5
Ending balance (shares) at Jan. 31, 2019	121.5			121.5
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Exercise of stock options and vesting of restricted stock units (RSUs)	$ 108.4				108.4
Exercise of stock options and vesting of restricted stock units (RSUs) (shares)				1.6
Shares withheld related to net share settlement of share-based compensation	(15.2)				(15.2)
Shares withheld related to net share settlement of share-based compensation (shares)				(0.1)
Share-based compensation expense	33.4				33.4
Purchase and retirement of Common Stock	$ (163.4)	(148.0)			(15.4)
Purchase and retirement of Common Stock (shares)	(1.8)			(1.8)
Cash dividends on Common Stock	$ (276.3)	(276.3)
Accrued dividends on share-based awards	(1.9)	(2.6)			0.7
Other comprehensive earnings, net of tax	(42.4)		(42.4)
Net earnings	541.1	541.1
Non-controlling interests	(1.0)					(1.0)
Ending balance at Jan. 31, 2020	$ 3,335.4	$ 2,207.6	$ (273.2)	$ 1.2	$ 1,387.3	$ 12.5
Ending balance (shares) at Jan. 31, 2020	121.2			121.2