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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, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]        
Earned insurance premiums $ 581.5 $ 506.8 $ 1,244.4 $ 1,070.6
Net investment income 57.7 48.1 172.1 130.1
Interest income (expense) from BAM Surplus Notes   0.0 7.9 0.0
Net realized and unrealized investment gains (losses) 223.8 (58.3) 390.4 151.2
Interest income from BAM Surplus Notes 7.9      
Change in fair value of BAM Surplus Notes 15.8   15.8 0.0
Unrealized loss on deconsolidation of BAM (114.5)   (114.5) 0.0
Commission and fee revenues 46.8 3.5 108.4 10.0
Other revenues 20.1 19.5 57.3 68.0
Total revenues 839.1 519.6 1,881.8 1,429.9
Loss and loss adjustment expenses 296.9 265.8 666.6 581.1
Acquisition expenses 106.4 92.4 253.9 217.8
Cost of sales 7.6 8.0 22.2 33.5
Broker commission expenses 15.9   37.9  
General and administrative expenses 121.9 99.6 369.6 298.2
Change in fair value of contingent consideration 34.2 17.0 47.5 16.8
Interest expense 16.7 15.7 46.7 44.9
Total expenses 599.6 498.5 1,444.4 1,192.3
Pre-tax income (loss) 239.5 21.1 437.4 237.6
Other Operations        
Segment Reporting Information [Line Items]        
Earned insurance premiums 11.2 0.0 19.8 0.0
Net investment income 9.6 8.0 27.9 22.0
Interest income (expense) from BAM Surplus Notes   0.0 0.0 0.0
Interest income from BAM Surplus Notes 0.0      
Change in fair value of BAM Surplus Notes 0.0   0.0  
Unrealized loss on deconsolidation of BAM 0.0   0.0  
Commission and fee revenues 4.1 3.5 11.1 10.0
Other revenues 14.8 15.2 43.7 67.1
Total revenues 157.6 (12.1) 322.6 186.0
Loss and loss adjustment expenses 4.2 0.0 8.1 0.0
Acquisition expenses 4.5 0.0 7.1 0.0
Cost of sales 7.6 8.0 22.2 33.5
Broker commission expenses 0.0   0.0  
General and administrative expenses 32.9 42.2 126.4 130.7
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 0.3 0.9 1.6 2.9
Total expenses 49.5 51.1 165.4 167.1
Pre-tax income (loss) 108.1 (63.2) 157.2 18.9
Investments, Excluding MediaAlpha        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 135.6 (11.5) 230.7 190.1
Investments, Excluding MediaAlpha | Other Operations        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 29.7 8.0 60.4 125.8
MediaAlpha        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 88.2 (46.8) 159.7 (38.9)
MediaAlpha | Other Operations        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 88.2 (46.8) 159.7 (38.9)
Financial Guarantee (HG Global) | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 7.5 7.9 24.3 23.3
Net investment income 6.0 8.1 26.1 22.9
Net realized and unrealized investment gains (losses) 22.5 (24.1) 8.1 (17.0)
Interest income from BAM Surplus Notes 7.9 0.0 7.9 0.0
Change in fair value of BAM Surplus Notes 15.8 0.0 15.8 0.0
Unrealized loss on deconsolidation of BAM (114.5) 0.0 (114.5) 0.0
Other revenues 0.0 0.7 1.1 2.0
Total revenues (54.8) (7.4) (31.2) 31.2
Acquisition expenses 1.9 2.1 6.3 6.3
General and administrative expenses 0.3 17.5 34.8 49.7
Interest expense 5.8 3.8 13.4 10.8
Total expenses 8.0 23.4 54.5 66.8
Financial Guarantee (HG Global) | HG Global | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 7.5 6.6 21.5 19.4
Net investment income 6.0 4.3 17.3 12.4
Interest income (expense) from BAM Surplus Notes   6.6 21.1 19.7
Interest income from BAM Surplus Notes 7.9      
Change in fair value of BAM Surplus Notes 15.8   15.8  
Unrealized loss on deconsolidation of BAM (114.5)   (114.5)  
Commission and fee revenues 0.0 0.0 0.0 0.0
Other revenues 0.0 0.0 0.0 0.0
Total revenues (54.8) 3.9 (25.6) 40.1
Loss and loss adjustment expenses 0.0 0.0 0.0 0.0
Acquisition expenses 1.9 2.0 5.9 5.6
Cost of sales 0.0 0.0 0.0 0.0
Broker commission expenses 0.0   0.0  
General and administrative expenses 0.3 0.5 1.3 1.9
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 5.8 3.8 13.4 10.8
Total expenses 8.0 6.3 20.6 18.3
Pre-tax income (loss) (62.8) (2.4) (46.2) 21.8
Financial Guarantee (HG Global) | HG Global | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 22.5 (13.6) 13.2 (11.4)
Financial Guarantee (HG Global) | 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
Financial Guarantee (HG Global) | BAM | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums   1.3 2.8 3.9
Net investment income   3.8 8.8 10.5
Interest income (expense) from BAM Surplus Notes   (6.6) (13.2) (19.7)
Change in fair value of BAM Surplus Notes     0.0  
Unrealized loss on deconsolidation of BAM     0.0  
Commission and fee revenues   0.0 0.0 0.0
Other revenues   0.7 1.1 2.0
Total revenues   (11.3) (5.6) (8.9)
Loss and loss adjustment expenses   0.0 0.0 0.0
Acquisition expenses   0.1 0.4 0.7
Cost of sales   0.0 0.0 0.0
Broker commission expenses     0.0  
General and administrative expenses   17.0 33.5 47.8
Change in fair value of contingent consideration   0.0 0.0 0.0
Interest expense   0.0 0.0 0.0
Total expenses   17.1 33.9 48.5
Pre-tax income (loss)   (28.4) (39.5) (57.4)
Financial Guarantee (HG Global) | BAM | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses)   (10.5) (5.1) (5.6)
Financial Guarantee (HG Global) | BAM | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses)   0.0 0.0 0.0
P&C Insurance and Reinsurance (Ark/WM Outrigger)        
Segment Reporting Information [Line Items]        
Loss and loss adjustment expenses 288.3 265.8 644.0 581.1
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 552.2 498.9 1,173.3 1,047.3
Net investment income 24.3 16.9 66.5 41.2
Net realized and unrealized investment gains (losses) 53.2 (6.6) 84.1 35.9
Other revenues 3.7 3.6 9.6 (1.1)
Total revenues 633.4 512.8 1,333.5 1,123.3
Loss and loss adjustment expenses 288.3 265.8 644.0 581.1
Acquisition expenses 96.3 90.3 230.8 211.5
General and administrative expenses 68.9 35.4 154.0 105.5
Change in fair value of contingent consideration 34.2 17.0 47.5 16.8
Interest expense 4.9 5.5 15.0 15.7
Total expenses 492.6 414.0 1,091.3 930.6
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | UNITED KINGDOM        
Segment Reporting Information [Line Items]        
Earned insurance premiums 326.4 273.6 697.5 588.3
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | BERMUDA        
Segment Reporting Information [Line Items]        
Earned insurance premiums 180.8 164.7 413.0 383.6
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 507.2 438.3 1,110.5 971.9
Net investment income 21.3 13.9 57.6 33.5
Interest income (expense) from BAM Surplus Notes   0.0 0.0 0.0
Interest income from BAM Surplus Notes 0.0      
Change in fair value of BAM Surplus Notes 0.0   0.0  
Unrealized loss on deconsolidation of BAM 0.0   0.0  
Commission and fee revenues 0.0 0.0 0.0 0.0
Other revenues 3.7 3.6 9.6 (1.1)
Total revenues 585.4 449.2 1,261.8 1,040.2
Loss and loss adjustment expenses 275.1 258.5 630.4 573.2
Acquisition expenses 83.3 71.0 212.9 189.3
Cost of sales 0.0 0.0 0.0 0.0
Broker commission expenses 0.0   0.0  
General and administrative expenses 68.9 35.3 153.9 105.3
Change in fair value of contingent consideration 34.2 17.0 47.5 16.8
Interest expense 4.9 5.5 15.0 15.7
Total expenses 466.4 387.3 1,059.7 900.3
Pre-tax income (loss) 119.0 61.9 202.1 139.9
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) 53.2 (6.6) 84.1 35.9
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 45.0 60.6 62.8 75.4
Net investment income 3.0 3.0 8.9 7.7
Interest income (expense) from BAM Surplus Notes   0.0 0.0 0.0
Interest income from BAM Surplus Notes 0.0      
Change in fair value of BAM Surplus Notes 0.0   0.0  
Unrealized loss on deconsolidation of BAM 0.0   0.0  
Commission and fee revenues 0.0 0.0 0.0 0.0
Other revenues 0.0 0.0 0.0 0.0
Total revenues 48.0 63.6 71.7 83.1
Loss and loss adjustment expenses 13.2 7.3 13.6 7.9
Acquisition expenses 13.0 19.3 17.9 22.2
Cost of sales 0.0 0.0 0.0 0.0
Broker commission expenses 0.0   0.0  
General and administrative expenses 0.0 0.1 0.1 0.2
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 26.2 26.7 31.6 30.3
Pre-tax income (loss) 21.8 36.9 40.1 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 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 0.0 0.0
Asset Management (Kudu) | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 17.2 15.1 50.1 44.0
Interest income (expense) from BAM Surplus Notes   0.0 0.0 0.0
Net realized and unrealized investment gains (losses) 29.5 11.2 77.5 45.4
Interest income from BAM Surplus Notes 0.0      
Change in fair value of BAM Surplus Notes 0.0   0.0  
Unrealized loss on deconsolidation of BAM 0.0   0.0  
Commission and fee revenues 0.0 0.0 0.0 0.0
Other revenues 0.5 0.0 0.5 0.0
Total revenues 47.2 26.3 128.1 89.4
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 0.0 0.0 0.0 0.0
Broker commission expenses 0.0   0.0  
General and administrative expenses 3.6 4.5 10.5 12.3
Change in fair value of contingent consideration 0.0 0.0 0.0 0.0
Interest expense 5.7 5.5 16.7 15.5
Total expenses 9.3 10.0 27.2 27.8
Pre-tax income (loss) 37.9 16.3 100.9 61.6
Asset Management (Kudu) | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 29.5 11.2 77.5 45.4
Asset Management (Kudu) | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0 0.0 0.0 0.0
Bamboo | Operating Segments        
Segment Reporting Information [Line Items]        
Earned insurance premiums 10.6 0.0 27.0 0.0
Net investment income 0.6   1.5  
Interest income (expense) from BAM Surplus Notes     0.0  
Interest income from BAM Surplus Notes 0.0      
Change in fair value of BAM Surplus Notes 0.0   0.0  
Unrealized loss on deconsolidation of BAM 0.0   0.0  
Commission and fee revenues 42.7 0.0 97.3 0.0
Other revenues 2.4 0.0 4.5 0.0
Total revenues 55.7 0.0 128.8 0.0
Loss and loss adjustment expenses 4.4 0.0 14.5 0.0
Acquisition expenses 3.7 0.0 9.7 0.0
Cost of sales 0.0   0.0  
Broker commission expenses 15.9 0.0 37.9 0.0
General and administrative expenses 16.2 0.0 43.9 0.0
Change in fair value of contingent consideration 0.0   0.0  
Interest expense 0.0   0.0  
Total expenses 40.2 $ 0.0 106.0 $ 0.0
Pre-tax income (loss) 15.5   22.8  
Bamboo | Investments, Excluding MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.7   0.6  
Bamboo | MediaAlpha | Operating Segments        
Segment Reporting Information [Line Items]        
Net realized and unrealized investment gains (losses) 0.0   0.0  
Bamboo Ide8 Services, LLC - Segment, Net Of Reconciling Items | Operating Segments        
Segment Reporting Information [Line Items]        
Other revenues $ 1.1   $ 2.4