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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, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Segment Reporting Information [Line Items]        
Earned insurance premiums $ 6.2 $ 5.2 $ 17.2 $ 13.7
Net investment income 71.2 18.4 113.7 55.4
Net realized and unrealized investment gains 306.6 67.0 302.8 233.1
Realized gain and unrealized investment gain from the MediaAlpha Transaction       182.2
Advertising and commission revenues 60.3 51.3 180.3 200.9
Other revenues 15.2 13.6 45.9 32.8
Total revenues 459.5 155.5 659.9 718.1
Insurance acquisition expenses 1.6 1.4 5.4 4.1
Other underwriting expenses 0.1 0.1 0.3 0.3
Cost of sales 2.3 2.3 6.5 45.6
General and administrative expenses 103.3 78.0 266.7 236.9
Broker commission expenses 17.1 15.3 56.4 48.9
Change in fair value of contingent consideration earnout liabilities 0.7 (2.0) (1.6) 5.6
Amortization of other intangible assets 5.4 4.6 17.1 15.4
Interest expense 7.8 4.7 21.2 12.7
Total expenses 138.3 104.4 372.0 369.5
Pre-tax income (loss) from continuing operations 321.2 51.1 287.9 348.6
HG Global/ BAM        
Segment Reporting Information [Line Items]        
Earned insurance premiums 6.2 5.2 17.2 13.7
Net investment income 4.7 5.4 15.1 16.1
Net realized and unrealized investment gains 3.2 7.1 23.7 30.4
Realized gain and unrealized investment gain from the MediaAlpha Transaction       0.0
Advertising and commission revenues 0.0 0.0 0.0 0.0
Other revenues 0.4 0.3 2.1 1.3
Total revenues 14.5 18.0 58.1 61.5
Insurance acquisition expenses 1.6 1.4 5.4 4.1
Other underwriting expenses 0.1 0.1 0.3 0.3
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 13.9 12.5 41.1 39.1
Broker commission expenses 0.0 0.0 0.0 0.0
Change in fair value of contingent consideration earnout liabilities 0.0 0.0 0.0 0.0
Amortization of other intangible assets 0.0 0.0 0.0 0.0
Interest expense 0.0 0.0 0.0 0.0
Total expenses 15.6 14.0 46.8 43.5
Pre-tax income (loss) from continuing operations (1.1) 4.0 11.3 18.0
NSM        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 0.0 0.0 0.0 0.0
Net realized and unrealized investment gains 0.0 0.0 0.0 0.0
Realized gain and unrealized investment gain from the MediaAlpha Transaction       0.0
Advertising and commission revenues 58.2 49.4 174.2 147.6
Other revenues 12.5 10.5 37.6 27.7
Total revenues 70.7 59.9 211.8 175.3
Insurance acquisition expenses 0.0 0.0   0.0
Other underwriting expenses 0.0 0.0 0.0 0.0
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 42.9 33.3 131.0 91.4
Broker commission expenses 17.1 15.3 56.4 48.9
Change in fair value of contingent consideration earnout liabilities 0.7 (2.0) (1.6) 5.6
Amortization of other intangible assets 5.1 4.4 16.2 13.5
Interest expense 6.1 4.4 16.1 12.2
Total expenses 71.9 55.4 218.1 171.6
Pre-tax income (loss) from continuing operations (1.2) 4.5 (6.3) 3.7
Kudu        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 6.4 4.6 19.3 8.6
Net realized and unrealized investment gains 9.8 2.7 1.5 3.1
Realized gain and unrealized investment gain from the MediaAlpha Transaction       0.0
Advertising and commission revenues 0.0 0.0 0.0 0.0
Other revenues 0.1 0.2 0.2 0.2
Total revenues 16.3 7.5 21.0 11.9
Insurance acquisition expenses 0.0 0.0 0.0 0.0
Other underwriting expenses 0.0 0.0 0.0 0.0
Cost of sales 0.0 0.0 0.0 0.0
General and administrative expenses 2.2 4.5 7.5 6.7
Broker commission expenses 0.0 0.0 0.0 0.0
Change in fair value of contingent consideration earnout liabilities 0.0 0.0 0.0 0.0
Amortization of other intangible assets 0.1 0.2 0.3 0.2
Interest expense 1.4 0.0 4.3 0.0
Total expenses 3.7 4.7 12.1 6.9
Pre-tax income (loss) from continuing operations 12.6 2.8 8.9 5.0
MediaAlpha        
Segment Reporting Information [Line Items]        
Earned insurance premiums       0.0
Net investment income       0.0
Net realized and unrealized investment gains       0.0
Realized gain and unrealized investment gain from the MediaAlpha Transaction       0.0
Advertising and commission revenues 0.0 0.0 0.0 48.8
Other revenues       0.0
Total revenues 0.0 0.0 0.0 48.8
Insurance acquisition expenses       0.0
Other underwriting expenses       0.0
Cost of sales 0.0 0.0 0.0 40.6
General and administrative expenses 0.0 0.0 0.0 12.5
Broker commission expenses       0.0
Change in fair value of contingent consideration earnout liabilities       0.0
Amortization of other intangible assets 0.0 0.0 0.0 1.6
Interest expense 0.0 0.0 0.0 0.2
Total expenses 0.0 0.0 0.0 54.9
Pre-tax income (loss) from continuing operations       (6.1)
Other Operations        
Segment Reporting Information [Line Items]        
Earned insurance premiums 0.0 0.0 0.0 0.0
Net investment income 60.1 8.4 79.3 30.7
Net realized and unrealized investment gains 293.6 57.2 277.6 199.6
Realized gain and unrealized investment gain from the MediaAlpha Transaction 0.0 0.0 0.0 182.2
Advertising and commission revenues 2.1 1.9 6.1 4.5
Other revenues 2.2 2.6 6.0 3.6
Total revenues 358.0 70.1 369.0 420.6
Insurance acquisition expenses 0.0 0.0 0.0 0.0
Other underwriting expenses 0.0 0.0 0.0 0.0
Cost of sales 2.3 2.3 6.5 5.0
General and administrative expenses 44.3 27.7 87.1 87.2
Broker commission expenses 0.0 0.0 0.0 0.0
Change in fair value of contingent consideration earnout liabilities 0.0 0.0 0.0 0.0
Amortization of other intangible assets 0.2 0.0 0.6 0.1
Interest expense 0.3 0.3 0.8 0.3
Total expenses 47.1 30.3 95.0 92.6
Pre-tax income (loss) from continuing operations $ 310.9 $ 39.8 $ 274.0 $ 328.0