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Segment Information - Sales to Unaffiliated Customers and Long-Lived Assets by Geographic Areas (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 31, 2019
Oct. 31, 2018
Jul. 31, 2018
Apr. 30, 2018
Jan. 31, 2018
Oct. 31, 2017
Jul. 31, 2017
Apr. 30, 2017
Jan. 31, 2019
Jan. 31, 2018
Jan. 31, 2017
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net sales $ 1,320.6 $ 1,012.4 $ 1,075.9 $ 1,033.2 $ 1,334.3 $ 976.2 $ 959.7 $ 899.6 $ 4,442.1 $ 4,169.8 $ 4,001.8
Long-lived assets 1,087.9       1,047.3       1,087.9 1,047.3  
United States                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net sales                 1,837.5 1,739.0 1,691.4
Long-lived assets 762.9       724.5       762.9 724.5  
Japan                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net sales                 643.0 596.3 604.4
Long-lived assets 18.9       21.4       18.9 21.4  
Other countries                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net sales                 1,961.6 1,834.5 $ 1,706.0
Long-lived assets $ 306.1       $ 301.4       $ 306.1 $ 301.4