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Employee Benefit Plans - Additional Information (Detail)
$ in Millions
12 Months Ended
Dec. 31, 2017
USD ($)
Person
shares
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Employee Benefits Disclosure [Line Items]            
Minimum employment period for benefits 30 days          
Employee Stock Ownership Plan Shares held 24,600,000          
Postemployment benefits liability | $ $ 19.5 $ 21.7        
Compensation, Percentage 100.00%          
Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Aggregate fair value of the restricted equity awards that vested during the period | $ $ 130.5 77.0 $ 105.4      
Non Employee Director Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Vesting period of grants to date 11 months          
Total pretax intrinsic value of options exercised and restricted stock vested | $ $ 2.2 $ 3.0 $ 2.2      
Executive Deferred Compensation Plan            
Employee Benefits Disclosure [Line Items]            
Common shares reserved for issuance under executive deferred compensation plan 11,100,000          
2010 Equity Incentive Plan | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Shares authorized 18,000,000.0          
2015 Equity Incentive Plan | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Shares authorized 13,000,000.0          
2003 Directors Equity Incentive Plan | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Shares authorized 0          
2003 Directors Equity Incentive Plan | Non Employee Director Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Shares authorized 0          
2017 Directors Equity Incentive Plan | Non Employee Director Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Shares authorized 500,000          
Performance Based Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Estimated Number Of Participants | Person 45          
Performance Based Restricted Equity Awards | Insurance Operating Results | Lower Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Performance Based Restricted Equity Awards | Insurance Operating Results | Upper Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 250.00% 250.00% 250.00% 250.00% 250.00% 200.00%
Performance Based Restricted Equity Awards | Investment Results | Lower Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Performance Based Restricted Equity Awards | Investment Results | Upper Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 200.00% 200.00% 200.00% 200.00% 200.00% 200.00%
Performance Based Restricted Equity Awards | Growth in percentage of auto policies bundled with other specified types of policies [Member] | Lower Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount     100.00%      
Performance Based Restricted Equity Awards | Growth in percentage of auto policies bundled with other specified types of policies [Member] | Upper Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount     200.00%      
Performance Based Restricted Equity Awards | Growth in percentage of auto policies bundled with other specified types of policies, performance objective not achieved            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount     0.00%      
Performance Based Restricted Equity Awards | Unit growth in a particular customer segment [Member] | Lower Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 85.00% 85.00%        
Performance Based Restricted Equity Awards | Unit growth in a particular customer segment [Member] | Upper Limit            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 150.00% 150.00%        
Performance Based Restricted Equity Awards | Unit growth in a particular customer segment, performance objective not achieved            
Employee Benefits Disclosure [Line Items]            
Performance-based awards granted vesting percentage of the award amount 0.00% 0.00%        
Defined Contribution Pension Plan 401k            
Employee Benefits Disclosure [Line Items]            
Matching contributions | $ $ 97.3 $ 86.8 $ 79.1      
Defined Contribution Pension Plan 401k | Upper Limit            
Employee Benefits Disclosure [Line Items]            
Matching contribution to defined contribution pension plan 6.00%          
Vesting tranche one | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Vesting period of grants to date 3 years          
Vesting tranche two | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Vesting period of grants to date 4 years          
Vesting tranche three | Employee Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Vesting period of grants to date 5 years          
Cash [Member]            
Employee Benefits Disclosure [Line Items]            
Compensation, Percentage 40.00%          
Non Employee Director Restricted Equity Awards            
Employee Benefits Disclosure [Line Items]            
Compensation, Percentage 60.00%