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Business and Summary of Significant Accounting Policies - Change in Presentation (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 31, 2018
Oct. 31, 2017
Jul. 31, 2017
Apr. 30, 2017
Jan. 31, 2017
Oct. 31, 2016
Jul. 31, 2016
Apr. 30, 2016
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Maintenance                 $ 989.6 $ 1,103.1 $ 1,152.5
Subscription                 894.3 443.1 228.1
License and other                 172.7 484.8 1,123.5
Total net revenue $ 553.8 $ 515.3 $ 501.8 $ 485.7 $ 478.8 $ 489.6 $ 550.7 $ 511.9 2,056.6 2,031.0 2,504.1
Maintenance and subscription                 214.4 191.7 162.3
License and other                 72.6 110.2 159.4
Amortization of developed technology                 16.4 40.0 49.0
Total cost of revenue                 $ 303.4 341.9 370.7
Previously Reported                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Subscription                   1,290.0 1,277.2
License and other                   741.0 1,226.9
Total net revenue                   2,031.0 2,504.1
Maintenance and subscription                   151.3 156.1
License and other                   190.6 214.6
Total cost of revenue                   341.9 370.7
Change in Presentation Reclassification                      
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                      
Maintenance                   1,103.1 1,152.5
Subscription                   (846.9) (1,049.1)
License and other                   (256.2) (103.4)
Total net revenue                   0.0 0.0
Maintenance and subscription                   40.4 6.2
License and other                   (80.4) (55.2)
Amortization of developed technology                   40.0 49.0
Total cost of revenue                   $ 0.0 $ 0.0