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Income Taxes - Additional Information (Detail) - USD ($)
12 Months Ended 36 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2018
Apr. 02, 2018
Income Taxes [Line Items]          
Effective Income Tax Rate Reconciliation, Tax Credit, Investment, Amount $ 76,300,000 $ 52,400,000 $ 62,200,000    
Tax cuts and jobs act, reduction in income tax expense related to revaluing deferred tax assets and liabilities 99,500,000        
Tax cuts and jobs act, provisional tax amount related to deductibility of executive compensation expense (3,900,000) 4,500,000      
Stock-based compensation 25,100,000 25,100,000 0    
Net deferred income taxes 43,200,000 0   $ 43,200,000  
Deferred tax assets valuation allowance 0 0   0  
Net taxes payable 16,800,000 23,800,000   16,800,000  
Provision for income taxes 542,600,000 540,800,000 413,500,000    
Other assets 365,100,000 412,900,000   365,100,000  
Net deferred income taxes 0 135,000,000   0  
Interest and Penalties [Member]          
Income Taxes [Line Items]          
Provision for income taxes 0 $ 200,000 $ 100,000    
Net unrealized gains (losses) on securities          
Income Taxes [Line Items]          
Tax cuts and jobs act, reduction in income tax expense related to revaluing deferred tax liability associated with net unrealized gains on investment portfolio 275,700,000        
Other Deferred Tax Assets and Liabilities [Member]          
Income Taxes [Line Items]          
Tax cuts and jobs act, reduction in income tax expense related to other deferred tax assets (liabilities) 176,200,000        
Chief Financial Officer [Member]          
Income Taxes [Line Items]          
Stock-based compensation 300,000        
Liability for Claims and Claims Adjustment Expense [Member]          
Income Taxes [Line Items]          
Net deferred income taxes 67,100,000     67,100,000  
Net deferred income taxes $ 67,100,000     $ 67,100,000  
ARX Holding Corp.          
Income Taxes [Line Items]          
Equity interest percentage 86.80% 69.00% 69.20% 86.80%  
ARX Holding Corp. | Lower Limit          
Income Taxes [Line Items]          
Equity interest percentage         80.00%
ARX Holding Corp. | Upper Limit          
Income Taxes [Line Items]          
Equity interest percentage   80.00%      
Alternative Energy [Member]          
Income Taxes [Line Items]          
Effective Income Tax Rate Reconciliation, Tax Credit, Investment, Amount $ 71,000,000 $ 48,700,000 $ 58,700,000    
Provision for income taxes       $ (150,000,000)  
Other assets $ 24,300,000     $ 24,300,000