Stock-based Compensation Expense (Intrinsic Value of Options Exercised) (Details) - USD ($) $ in Millions	6 Months Ended
Jul. 31, 2019	Jul. 31, 2018
Share-based Payment Arrangement [Abstract]
Pre-tax intrinsic value of options exercised	$ 26.9	$ 6.5

Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (d)(2)
-URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration