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Income Taxes - Additional Information (Details) - USD ($)
12 Months Ended
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Operating Loss Carryforwards [Line Items]      
Federal statutory rate 21.00% 21.00% 23.33%
Transition tax (benefit) expense $ 0 $ (800,000) $ 52,800,000
Undistributed foreign earnings 7,000,000.0 6,600,000  
Income (loss) before income tax expense 186,100,000 $ 262,000,000.0 $ 299,800,000
Increase (decrease) in valuation allowances $ 28,600,000    
Percentage of rate impact in valuation allowance (15.23%) 2.41% 5.65%
Net operating loss and other carryforwards $ 179,300,000 $ 206,900,000  
Operating loss carryforwards, U.S. Federal 30,600,000 49,400,000  
Operating loss carryforwards, State 25,100,000 27,300,000  
Operating loss carryforwards, Non-U.S. 123,600,000 130,200,000  
Valuation allowance 146,400,000 175,000,000.0  
Net deferred tax liability 327,900,000 297,100,000  
Unrecognized tax benefits 36,000,000.0 38,800,000 $ 36,200,000
Accrued interest and penalties related to unrecognized tax benefits 7,200,000 6,300,000  
Minimum      
Operating Loss Carryforwards [Line Items]      
Net decrease in unrecognized tax benefits for the next 12 months 0    
Maximum      
Operating Loss Carryforwards [Line Items]      
Net decrease in unrecognized tax benefits for the next 12 months 10,700,000    
Non-U.S.      
Operating Loss Carryforwards [Line Items]      
Income (loss) before income tax expense 160,600,000 132,100,000 102,300,000
Valuation allowance 136,900,000 142,300,000  
Domestic Tax Authority      
Operating Loss Carryforwards [Line Items]      
Income (loss) before income tax expense 25,500,000 129,900,000 $ 197,500,000
Valuation allowance $ 9,500,000 $ 32,700,000