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Segment Information - Financial Information for White Mountain's Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Segment Reporting Information [Line Items]        
Earned insurance premiums $ 506.8 $ 353.2 $ 1,070.6 $ 783.8
Net investment income 48.1 33.9 130.1 79.6
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0 0.0 0.0
Net realized and unrealized investment gains (losses) (58.3) (48.0) 151.2 (255.2)
Commission revenues 3.5 3.2 10.0 8.7
Other revenues 19.5 40.9 68.0 103.4
Total revenues 519.6 383.2 1,429.9 720.3
Loss and loss adjustment expenses 265.8 213.7 581.1 456.2
Acquisition expenses 92.4 76.5 217.8 184.4
Cost of sales 8.0 25.0 33.5 68.8
General and administrative expenses 99.6 85.8 298.2 256.9
Change in fair value of contingent consideration 17.0 2.7 16.8 4.9
Interest expense 15.7 10.5 44.9 27.5
Total expenses 498.5 414.2 1,192.3 998.7
Pre-tax income (loss) from continuing operations 21.1 (31.0) 237.6 (278.4)
Other Operations        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 8.0 8.5 22.0 13.6
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0 0.0 0.0
Commission revenues 3.5 3.2 10.0 8.7
Other revenues 15.2 33.0 67.1 89.6
Total revenues (12.1) 8.8 186.0 1.4
Loss and loss adjustment expenses 0.0 0.0 0.0 0.0
Acquisition expenses 0.0 0.0 0.0 0.0
Cost of sales 8.0 25.0 33.5 68.8
General and administrative expenses 42.2 41.3 130.7 122.1
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 0.9 0.6 2.9 1.2
Total expenses 51.1 66.9 167.1 192.1
Pre-tax income (loss) from continuing operations (63.2) (58.1) 18.9 (190.7)
Investments, Excluding MediaAlpha        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (11.5) (29.4) 190.1 (141.9)
Investments, Excluding MediaAlpha | Other Operations        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 8.0 (17.3) 125.8 2.8
MediaAlpha        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (46.8) (18.6) (38.9) (113.3)
MediaAlpha | Other Operations        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (46.8) (18.6) (38.9) (113.3)
HG Global/BAM | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 7.9 7.1 23.3 26.0
Net investment income 8.1 5.7 22.9 15.1
Net realized and unrealized investment gains (losses) (24.1) (38.8) (17.0) (114.0)
Other revenues 0.7 1.3 2.0 3.7
Total revenues (7.4) (24.7) 31.2 (69.2)
Acquisition expenses 2.1 1.7 6.3 9.5
General and administrative expenses 17.5 15.8 49.7 49.5
Interest expense 3.8 2.0 10.8 5.4
Total expenses 23.4 19.5 66.8 64.4
HG Global/BAM | HG Global | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 6.6 5.9 19.4 21.5
Net investment income 4.3 2.8 12.4 7.1
Net investment income (expense) - BAM Surplus Note interest 6.6 2.9 19.7 8.8
Commission revenues 0.0 0.0 0.0 0.0
Other revenues 0.0 0.1 0.0 0.3
Total revenues 3.9 (7.9) 40.1 (20.1)
Loss and loss adjustment expenses 0.0 0.0 0.0 0.0
Acquisition expenses 2.0 1.6 5.6 7.6
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 0.5 0.6 1.9 2.1
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 3.8 2.0 10.8 5.4
Total expenses 6.3 4.2 18.3 15.1
Pre-tax income (loss) from continuing operations (2.4) (12.1) 21.8 (35.2)
HG Global/BAM | HG Global | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (13.6) (19.6) (11.4) (57.8)
HG Global/BAM | HG Global | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0 0.0 0.0 0.0
HG Global/BAM | BAM | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 1.3 1.2 3.9 4.5
Net investment income 3.8 2.9 10.5 8.0
Net investment income (expense) - BAM Surplus Note interest (6.6) (2.9) (19.7) (8.8)
Commission revenues 0.0 0.0 0.0 0.0
Other revenues 0.7 1.2 2.0 3.4
Total revenues (11.3) (16.8) (8.9) (49.1)
Loss and loss adjustment expenses 0.0 0.0 0.0 0.0
Acquisition expenses 0.1 0.1 0.7 1.9
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 17.0 15.2 47.8 47.4
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 0.0 0.0 0.0 0.0
Total expenses 17.1 15.3 48.5 49.3
Pre-tax income (loss) from continuing operations (28.4) (32.1) (57.4) (98.4)
HG Global/BAM | BAM | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (10.5) (19.2) (5.6) (56.2)
HG Global/BAM | BAM | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0 0.0 0.0 0.0
P&C Insurance and Reinsurance (Ark/WM Outrigger)        
Segment Reporting Information [Line Items]        
Loss and loss adjustment expenses 265.8 213.7 581.1 456.2
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 498.9 346.1 1,047.3 757.8
Net investment income 16.9 4.9 41.2 9.7
Net realized and unrealized investment gains (losses) (6.6) (14.4) 35.9 (76.5)
Other revenues 3.6 6.6 (1.1) 10.1
Total revenues 512.8 343.2 1,123.3 701.1
Loss and loss adjustment expenses 265.8 213.7 581.1 456.2
Acquisition expenses 90.3 74.8 211.5 174.9
General and administrative expenses 35.4 24.2 105.5 74.9
Change in fair value of contingent consideration 17.0 2.7 16.8 4.9
Interest expense 5.5 3.7 15.7 10.6
Total expenses 414.0 319.1 930.6 721.5
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 438.3 346.1 971.9 757.8
Net investment income 13.9 4.9 33.5 9.7
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0 0.0 0.0
Commission revenues 0.0 0.0 0.0 0.0
Other revenues 3.6 6.6 (1.1) 10.1
Total revenues 449.2 343.2 1,040.2 701.1
Loss and loss adjustment expenses 258.5 213.7 573.2 456.2
Acquisition expenses 71.0 74.8 189.3 174.9
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 35.3 24.2 105.3 74.9
Change in fair value of contingent consideration 17.0 2.7 16.8 4.9
Interest expense 5.5 3.7 15.7 10.6
Total expenses 387.3 319.1 900.3 721.5
Pre-tax income (loss) from continuing operations 61.9 24.1 139.9 (20.4)
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) (6.6) (14.4) 35.9 (76.5)
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0 0.0 0.0 0.0
P&C Insurance and Reinsurance (Ark/WM Outrigger) | WM Outrigger Re | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 60.6   75.4  
Net investment income 3.0   7.7  
Net investment income (expense) - BAM Surplus Note interest 0.0   0.0  
Commission revenues 0.0   0.0  
Other revenues 0.0   0.0  
Total revenues 63.6   83.1  
Loss and loss adjustment expenses 7.3   7.9  
Acquisition expenses 19.3   22.2  
Cost of sales 0.0   0.0  
General and administrative expenses 0.1   0.2  
Change in fair value of contingent consideration 0.0   0.0  
Interest expense 0.0   0.0  
Total expenses 26.7   30.3  
Pre-tax income (loss) from continuing operations 36.9   52.8  
P&C Insurance and Reinsurance (Ark/WM Outrigger) | WM Outrigger Re | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0   0.0  
P&C Insurance and Reinsurance (Ark/WM Outrigger) | WM Outrigger Re | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0   0.0  
Kudu | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 15.1 14.8 44.0 41.2
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0 0.0 0.0
Net realized and unrealized investment gains (losses) 11.2 41.1 45.4 45.8
Commission revenues 0.0 0.0 0.0 0.0
Other revenues 0.0 0.0 0.0 0.0
Total revenues 26.3 55.9 89.4 87.0
Loss and loss adjustment expenses 0.0 0.0 0.0 0.0
Acquisition expenses 0.0 0.0 0.0 0.0
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 4.5 4.5 12.3 10.4
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 5.5 4.2 15.5 10.3
Total expenses 10.0 8.7 27.8 20.7
Pre-tax income (loss) from continuing operations 16.3 47.2 61.6 66.3
Kudu | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 11.2 41.1 45.4 45.8
Kudu | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) $ 0.0 $ 0.0 $ 0.0 $ 0.0