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Business and Summary of Significant Accounting Policies - Expected Future Amortization Expense for Purchased Technologies, Customer Relationships and Trade Names (Details)
$ in Millions
Jan. 31, 2018
USD ($)
Expected Future Amortization Expense for Purcahsed Technologies, Customer Relationships and Trade Name [Abstract]  
2019 $ 28.0
2020 16.1
2021 7.7
2022 3.4
Thereafter 0.0
Total $ 55.2