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Significant Transactions (Details)
3 Months Ended 6 Months Ended
Jun. 28, 2019
USD ($)
Apr. 01, 2019
USD ($)
Feb. 26, 2019
USD ($)
Dec. 03, 2018
USD ($)
May 11, 2018
USD ($)
Jan. 24, 2018
USD ($)
Jun. 30, 2019
USD ($)
Jun. 30, 2019
USD ($)
earnout_period
Jun. 30, 2018
USD ($)
Jun. 03, 2019
USD ($)
Apr. 04, 2019
Apr. 03, 2019
USD ($)
Dec. 31, 2018
USD ($)
May 18, 2018
USD ($)
Feb. 05, 2018
USD ($)
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Purchases of consolidated subsidiaries, net of cash acquired               $ 243,400,000 $ 252,100,000            
Net gain from sale of discontinued operations, net of tax               67,500,000 $ 0            
NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Change in fair value of contingent consideration earnout liabilities             $ 6,300,000 7,600,000              
Payment for contingent consideration liability               2,600,000              
Contingent consideration earnout liabilities             30,900,000 30,900,000         $ 20,200,000    
MediaAlpha                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)     48.30%                        
Fully diluted ownership interest (as a percent)     42.00%                        
Proceeds from dividends received     $ 89,300,000                        
Net gain from sale of discontinued operations, net of tax               67,500,000              
Assets, fair value             $ 114,700,000 114,700,000              
Unrealized investment gain               114,700,000              
Total realized and unrealized gain on sale of minority stake               $ 182,200,000              
Elementum Holdings, L.P.                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)             30.00% 30.00%   30.00%          
Equity method investment, aggregate cost                   $ 55,100,000          
Elementum Advisors                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Equity method investment, aggregate cost                   50,000,000.0          
Elementum Funds                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Equity method investment, aggregate cost                   $ 40,000,000.0          
NSM Insurance HoldCo, LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)         95.00%   96.40% 96.40%         95.50%    
Purchases of consolidated subsidiaries, net of cash acquired         $ 274,200,000                    
Purchase price adjustment             $ 2,100,000                
Assets acquired         495,200,000                    
Goodwill and intangible assets acquired         383,000,000.0                    
Liabilities acquired         204,600,000                    
Contingent consideration         10,200,000                    
Noncontrolling interest acquired         14,400,000                    
Transaction costs             $ 6,300,000                
Number of earnout periods | earnout_period               2              
Fully diluted ownership interest (as a percent)             88.40% 88.40%         85.00%    
Fresh Insurance Services Group Limited                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)                           100.00%  
Equity method investment, aggregate cost                           $ 49,600,000  
Purchase price adjustment             $ 700,000                
Assets acquired                           72,600,000  
Goodwill and intangible assets acquired                           54,600,000  
Liabilities acquired                           22,300,000  
Contingent consideration                           7,500,000  
Fresh Insurance Services Group Limited | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Purchase price adjustment             5,900,000                
KBK Insurance Group, Inc. & KBK Premium Services, Inc.                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Purchases of consolidated subsidiaries, net of cash acquired       $ 60,000,000.0                      
Goodwill and intangible assets acquired       59,400,000     32,600,000 $ 32,600,000              
Stock issued during period, value, acquisitions       29,000,000.0                      
Proceeds from borrowings       $ 30,100,000                      
Intangible assets acquired             $ 32,700,000 $ 32,700,000              
AIG Collector Car Business                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Purchases of consolidated subsidiaries, net of cash acquired $ 82,500,000                            
Intangible assets acquired $ 82,500,000                            
Acquired finite-lived intangible assets, weighted average useful life (in years) 12 years                            
AIG Collector Car Business | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Proceeds from borrowings $ 22,500,000                            
AIG Collector Car Business | White Mountains                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Stock issued during period, value, acquisitions $ 59,100,000                            
DavidShield                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)           50.00% 50.00% 50.00%         50.00%    
DavidShield | White Mountains                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)             25.00% 25.00%         25.00%    
PassportCard                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)           50.00% 25.00% 25.00%         25.00%    
DavidShield & PassportCard                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)             50.00% 50.00%         50.00%    
Equity method investment, aggregate cost           $ 41,800,000                  
Payments to acquire business, net           $ 28,300,000                  
Kudu Investment Management, LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Ownership interest (as a percent)                     99.10% 49.50% 49.50%    
Equity method investment, aggregate cost                             $ 125,000,000.0
Fully diluted ownership interest (as a percent)                     85.40% 42.70% 42.70%    
Additional funding             $ 145,200,000 $ 145,200,000         $ 63,000,000.0    
Assets under management             17,000,000,000 17,000,000,000              
Unfunded capital commitment             105,000,000.0 105,000,000.0       $ 250,000,000.0      
Funded capital commitment             82,200,000 82,200,000              
Kudu Investment Management, LLC | White Mountains                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Additional funding                         31,500,000    
Funded capital commitment             41,100,000 41,100,000              
NSM Bank Facility | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Long-term line of credit         100,000,000.0                    
NSM Bank Facility | Term Loan | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Long-term line of credit         $ 224,000,000.0   222,300,000 222,300,000         $ 180,400,000 $ 51,000,000.0  
Proceeds from borrowings             42,900,000 42,900,000              
Embrace Pet Insurance | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Goodwill and intangible assets acquired   $ 70,600,000                          
Stock issued during period, value, acquisitions   58,200,000                          
Proceeds from borrowings   $ 20,400,000                          
Percentage of voting interests acquired   100.00%                          
Payments to acquire businesses, gross   $ 71,500,000                          
Embrace Pet Insurance | NSM Bank Facility | Term Loan | NSM Holding Co LLC                              
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                              
Proceeds from borrowings             $ 20,400,000 $ 20,400,000