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Segment Information - Financial Information for White Mountain's Segments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Segment Reporting Information [Line Items]    
Earned insurance premiums $ 319.0 $ 262.8
Net investment income 57.0 39.0
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0
Net realized and unrealized investment gains (losses) 226.8 198.1
Commission and fee revenues 25.5 3.3
Other revenues 19.0 28.7
Total revenues 647.3 531.9
Loss and loss adjustment expenses 185.8 147.8
Acquisition expenses 71.6 62.5
Cost of sales 7.6 13.9
Broker commission expenses 9.3  
General and administrative expenses 125.2 96.0
Change in fair value of contingent consideration 0.0 (2.4)
Interest expense 15.2 15.0
Total expenses 414.7 332.8
Pre-tax income (loss) 232.6 199.1
Other Operations    
Segment Reporting Information [Line Items]    
Earned insurance premiums 0.0 0.0
Net investment income 9.9 7.0
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0
Commission and fee revenues 3.6 3.3
Other revenues 14.4 30.6
Total revenues 260.8 167.9
Loss and loss adjustment expenses 0.0 0.0
Acquisition expenses 0.0 0.0
Cost of sales 7.6 13.9
Broker commission expenses 0.0  
General and administrative expenses 50.3 39.7
Change in fair value of contingent consideration 0.0 0.0
Interest expense 0.7 0.8
Total expenses 58.6 54.4
Pre-tax income (loss) 202.2 113.5
Investments, Excluding MediaAlpha    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 16.1 112.9
Investments, Excluding MediaAlpha | Other Operations    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 22.2 41.8
MediaAlpha    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 210.7 85.2
MediaAlpha | Other Operations    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 210.7 85.2
P&C Insurance and Reinsurance (Ark/WM Outrigger)    
Segment Reporting Information [Line Items]    
Loss and loss adjustment expenses 180.0 147.8
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 302.8 255.1
Net investment income 19.9 10.6
Net realized and unrealized investment gains (losses) 10.6 24.5
Other revenues 3.5 (2.7)
Total revenues 336.8 287.5
Loss and loss adjustment expenses 180.0 147.8
Acquisition expenses 66.3 59.8
General and administrative expenses 42.2 35.2
Change in fair value of contingent consideration 0.0 (2.4)
Interest expense 5.4 5.0
Total expenses 293.9 245.4
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | UNITED KINGDOM    
Segment Reporting Information [Line Items]    
Earned insurance premiums 177.4 146.0
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | BERMUDA    
Segment Reporting Information [Line Items]    
Earned insurance premiums 115.1 104.0
P&C Insurance and Reinsurance (Ark/WM Outrigger) | Ark | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 292.5 249.9
Net investment income 17.0 8.4
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0
Commission and fee revenues 0.0 0.0
Other revenues 3.5 (2.7)
Total revenues 323.6 280.1
Loss and loss adjustment expenses 179.3 147.6
Acquisition expenses 63.7 58.9
Cost of sales 0.0 0.0
Broker commission expenses 0.0  
General and administrative expenses 42.2 35.1
Change in fair value of contingent consideration 0.0 (2.4)
Interest expense 5.4 5.0
Total expenses 290.6 244.2
Pre-tax income (loss) 33.0 35.9
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) 10.6 24.5
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
P&C Insurance and Reinsurance (Ark/WM Outrigger) | WM Outrigger Re | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 10.3 5.2
Net investment income 2.9 2.2
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0
Commission and fee revenues 0.0 0.0
Other revenues 0.0 0.0
Total revenues 13.2 7.4
Loss and loss adjustment expenses 0.7 0.2
Acquisition expenses 2.6 0.9
Cost of sales 0.0 0.0
Broker commission expenses 0.0  
General and administrative expenses 0.0 0.1
Change in fair value of contingent consideration 0.0 0.0
Interest expense 0.0 0.0
Total expenses 3.3 1.2
Pre-tax income (loss) 9.9 6.2
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
Financial Guarantee (HG Global/BAM) | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 7.8 7.7
Net investment income 9.7 7.2
Net realized and unrealized investment gains (losses) (10.1) 17.0
Other revenues 0.5 0.8
Total revenues 7.9 32.7
Acquisition expenses 2.2 2.7
General and administrative expenses 17.3 17.3
Interest expense 3.5 4.5
Total expenses 23.0 24.5
Financial Guarantee (HG Global/BAM) | HG Global | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 6.5 6.4
Net investment income 5.4 4.0
Net investment income (expense) - BAM Surplus Note interest 6.6 6.6
Commission and fee revenues 0.0 0.0
Other revenues 0.0 0.0
Total revenues 11.2 24.9
Loss and loss adjustment expenses 0.0 0.0
Acquisition expenses 1.8 1.8
Cost of sales 0.0 0.0
Broker commission expenses 0.0  
General and administrative expenses 0.4 1.1
Change in fair value of contingent consideration 0.0 0.0
Interest expense 3.5 4.5
Total expenses 5.7 7.4
Pre-tax income (loss) 5.5 17.5
Financial Guarantee (HG Global/BAM) | HG Global | Investments, Excluding MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) (7.3) 7.9
Financial Guarantee (HG Global/BAM) | HG Global | MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 0.0 0.0
Financial Guarantee (HG Global/BAM) | BAM | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 1.3 1.3
Net investment income 4.3 3.2
Net investment income (expense) - BAM Surplus Note interest (6.6) (6.6)
Commission and fee revenues 0.0 0.0
Other revenues 0.5 0.8
Total revenues (3.3) 7.8
Loss and loss adjustment expenses 0.0 0.0
Acquisition expenses 0.4 0.9
Cost of sales 0.0 0.0
Broker commission expenses 0.0  
General and administrative expenses 16.9 16.2
Change in fair value of contingent consideration 0.0 0.0
Interest expense 0.0 0.0
Total expenses 17.3 17.1
Pre-tax income (loss) (20.6) (9.3)
Financial Guarantee (HG Global/BAM) | BAM | Investments, Excluding MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) (2.8) 9.1
Financial Guarantee (HG Global/BAM) | BAM | MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 0.0 0.0
Asset Management (Kudu) | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 0.0 0.0
Net investment income 17.2 14.2
Net investment income (expense) - BAM Surplus Note interest 0.0 0.0
Net realized and unrealized investment gains (losses) (6.5) 29.6
Commission and fee revenues 0.0 0.0
Other revenues 0.0 0.0
Total revenues 10.7 43.8
Loss and loss adjustment expenses 0.0 0.0
Acquisition expenses 0.0 0.0
Cost of sales 0.0 0.0
Broker commission expenses 0.0  
General and administrative expenses 3.4 3.8
Change in fair value of contingent consideration 0.0 0.0
Interest expense 5.6 4.7
Total expenses 9.0 8.5
Pre-tax income (loss) 1.7 35.3
Asset Management (Kudu) | Investments, Excluding MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) (6.5) 29.6
Asset Management (Kudu) | MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 0.0 0.0
Bamboo | Operating Segments    
Segment Reporting Information [Line Items]    
Earned insurance premiums 8.4 0.0
Net investment income 0.3  
Net investment income (expense) - BAM Surplus Note interest 0.0  
Commission and fee revenues 21.9 0.0
Other revenues 0.8 0.0
Total revenues 31.1 0.0
Loss and loss adjustment expenses 5.8 0.0
Acquisition expenses 3.1 0.0
Cost of sales 0.0  
Broker commission expenses 9.3 0.0
General and administrative expenses 12.0 0.0
Change in fair value of contingent consideration 0.0  
Interest expense 0.0  
Total expenses 30.2 $ 0.0
Pre-tax income (loss) 0.9  
Bamboo | Investments, Excluding MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) (0.1)  
Bamboo | MediaAlpha | Operating Segments    
Segment Reporting Information [Line Items]    
Net realized and unrealized investment gains (losses) 0.0  
Bamboo Ide8 Services, LLC - Segment, Net Of Reconciling Items | Operating Segments    
Segment Reporting Information [Line Items]    
Other revenues $ 0.6