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Schedule II - Condensed Financial Information of Registrant Statements of Cash Flows (Details) - USD ($)
$ in Millions
 1 Months Ended 6 Months Ended 12 Months Ended
Mar. 31, 2021
Jun. 30, 2023
Jun. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Cash flows (used in)/from operating activities:            
Amortization of right-of-use operating lease assets   $ 5.1 $ 5.2 $ 10.1 $ 12.0 $ 11.8
Interest on operating lease liability       (5.4) (5.5)  
Change in right of lease assets       (6.7) 0.4 12.9
Change in operating lease liabilities       (15.5) (17.5) (17.3)
Net cash (used in)/from operating activities   264.6 104.8 (55.0) 524.7 (672.7)
Cash flows (used in)/from investing activities:            
Proceeds/(purchases) of short term investments   (15.0) 0.0 (7.0) (26.8) (58.3)
Payments for acquisitions and investments, net of cash acquired   (0.4)   (2.0) (3.2)  
(Purchases) of other investments   (3.0) (46.6) (62.5) (20.0) 0.0
Net cash (used in)/from investing activities   (124.5) (92.9) (196.5) (950.3) 1,151.2
Cash flows used in/from financing activities:            
Net cash (used in)/from financing activities   (42.2) (42.2) (84.6) 0.5 223.5
Cash and cash equivalents at beginning of period   959.2 1,314.1 1,314.1    
Cash and cash equivalents at end of period (1)   1,061.5   959.2 1,314.1  
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect   102.3 (49.2) (354.9) (433.2) 716.8
Proceeds from sales and maturities of fixed income securities — Trading   283.9 134.8 293.6 548.2 554.4
Parent Company            
Cash flows (used in)/from operating activities:            
Net income (excluding equity in net earnings of subsidiaries)       36.9 120.3 52.0
Realized and unrealized losses/(gains)       19.7 (6.7) 1.5
(Gain)/loss on derivative contracts       (15.4) 6.2 (0.3)
Amortization of right-of-use operating lease assets       0.5 0.5 0.4
Interest on operating lease liability       0.1 0.1 (0.4)
Change in other assets       2.1 (1.6) 0.5
Change in right of lease assets       0.0 (2.0) 0.0
Change in accrued expenses and other payables       (3.2) 1.4 15.9
Change in intercompany activities       41.1 35.0 41.6
Change in operating lease liabilities       (0.6) 1.5 0.0
Net cash (used in)/from operating activities       81.2 154.7 111.2
Cash flows (used in)/from investing activities:            
(Purchases) of fixed income securities       (10.0) (42.6) 75.6
Investment in subsidiaries       5.0 (115.0) (87.3)
Net cash (used in)/from investing activities       2.8 (157.6) (11.7)
Cash flows used in/from financing activities:            
Net cash (used in)/from financing activities       (84.6) (44.5) (44.5)
Cash and cash equivalents at beginning of period   44.4 $ 45.0 45.0 92.4 37.4
Cash and cash equivalents at end of period (1)       44.4 45.0 92.4
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect       (0.6) (47.4) 55.0
Proceeds from sales and maturities of fixed income securities — Trading       7.8 0.0 $ 0.0
MVI            
Cash flows (used in)/from investing activities:            
Payments for acquisitions and investments, net of cash acquired $ (0.8) $ 0.0   $ (0.4) $ (0.4)