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Stockholders' Equity - Share Repurchases (Details) - USD ($)
3 Months Ended 12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Oct. 31, 2019
Mar. 31, 2017
Dec. 31, 2011
Stockholders' Equity Note [Abstract]          
Share repurchase program, authorized amount for repurchase       $ 1,000,000,000.0 $ 500,000,000.0
Share repurchase program, common stock repurchased (in shares) 0   537,000    
Share repurchase program, common stock repurchased   $ 6,100,000 $ 156,100,000    
Share repurchase program, remaining authorized amount for repurchase $ 407,400,000