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Income Taxes (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Oct. 31, 2018
Jan. 31, 2018
Oct. 31, 2017
Oct. 31, 2018
Oct. 31, 2017
Schedule of tax impact from settlement [Line Items]          
US Tax Act Impact $ 71,400 $ 95,400      
Other Tax Expense (Benefit) (5,500)     $ (6,100)  
Other Selling, General and Administrative Expense_Indemnification 5,500     6,100  
US Tax Act Impact - Transition Tax $ 24,000 101,100   $ 24,000  
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount   $ (5,700)      
Effective Income Tax Rate Reconciliation, Percent 2.00%   32.10% 7.00% 33.80%
Provision for income taxes $ 2,306   $ 17,617 $ 16,809 $ 58,964
TS          
Schedule of tax impact from settlement [Line Items]          
Deferred Other Tax Expense (Benefit) $ (200)     $ (13,000)