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Earnings Per Share (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2019
Oct. 31, 2018
Earnings Per Share [Abstract]        
Net earnings for basic and diluted EPS $ 78.4 $ 94.9 $ 339.9 $ 381.9
Weighted-average shares for basic EPS (shares) 120.3 122.3 121.0 123.3
Incremental shares based upon the assumed exercise of stock options and unvested restricted stock units (shares) 0.3 0.8 0.3 0.7
Weighted-average shares for diluted EPS (shares) 120.6 123.1 121.3 124.0
Antidilutive securities excluded from computation of earnings per share (shares) 1.8 0.4 1.7 0.6