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Stockholders' Equity - Share Repurchase Program (Details) - USD ($)
$ / shares in Units, shares in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2020
Oct. 31, 2019
May 31, 2018
Class of Stock [Line Items]          
Cost of repurchases $ 0 $ 78,000,000.0 $ 0 $ 163,400,000  
Shares repurchased and retired (shares) 0.0 0.9 0.0 1.8  
Average cost per share (usd per share) $ 0 $ 88.42 $ 0 $ 91.15  
2018 Share Repurchase Program          
Class of Stock [Line Items]          
Repurchase program authorized amount         $ 1,000,000,000.0
Repurchase program authorized amount, remaining $ 471,600,000   $ 471,600,000