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Fair value measurements - Investments Categorized by the Level of the Fair Value Hierarchy (Details) - USD ($) $ in Millions	Mar. 31, 2025	Dec. 31, 2024
Assets
Debt securities, available-for-sale	$ 4,635.2	$ 5,131.0
Debt securities, trading	117.6	162.2
Short-term investments	48.2	95.8
Other long-term investments	317.7	316.5
Cost and equity method investments	65.1	64.7
Total assets	5,146.5	5,706.4
Liabilities
Derivative liabilities	6.1	14.3
Total liabilities	6.1	14.3
Asset-backed securities
Assets
Debt securities, available-for-sale	1,007.8	1,149.7
Debt securities, trading	19.1	53.1
Residential mortgage-backed securities
Assets
Debt securities, available-for-sale	931.0	973.8
Debt securities, trading	47.9	48.7
Commercial mortgage-backed securities
Assets
Debt securities, available-for-sale	174.0	224.5
Debt securities, trading	42.7	51.8
Corporate debt securities
Assets
Debt securities, available-for-sale	1,618.3	1,899.9
Debt securities, trading	3.8	4.6
U.S. government and government agency
Assets
Debt securities, available-for-sale	881.4	859.0
Debt securities, trading	4.1	4.0
Non-U.S. government and government agency
Assets
Debt securities, available-for-sale	22.7	24.1
Fair Value, Inputs, Level 1, 2 and 3
Assets
Debt securities, available-for-sale	4,635.2	5,131.0
Debt securities, trading	117.6	162.2
Short-term investments	48.2	95.8
Other long-term investments	92.4	89.9
Derivative assets	27.8	0.9
Total assets	4,921.2	5,479.8
Fair Value, Inputs, Level 1, 2 and 3 | Asset-backed securities
Assets
Debt securities, available-for-sale	1,007.8	1,149.7
Debt securities, trading	19.1	53.1
Fair Value, Inputs, Level 1, 2 and 3 | Residential mortgage-backed securities
Assets
Debt securities, available-for-sale	931.0	973.8
Debt securities, trading	47.9	48.7
Fair Value, Inputs, Level 1, 2 and 3 | Commercial mortgage-backed securities
Assets
Debt securities, available-for-sale	174.0	224.5
Debt securities, trading	42.7	51.8
Fair Value, Inputs, Level 1, 2 and 3 | Corporate debt securities
Assets
Debt securities, available-for-sale	1,618.3	1,899.9
Debt securities, trading	3.8	4.6
Fair Value, Inputs, Level 1, 2 and 3 | U.S. government and government agency
Assets
Debt securities, available-for-sale	881.4	859.0
Debt securities, trading	4.1	4.0
Fair Value, Inputs, Level 1, 2 and 3 | Non-U.S. government and government agency
Assets
Debt securities, available-for-sale	22.7	24.1
Quoted prices in active markets (Level 1)
Assets
Debt securities, available-for-sale	881.4	859.0
Debt securities, trading	4.1	4.0
Short-term investments	48.2	73.6
Other long-term investments	0.3	0.3
Derivative assets	0.0	0.0
Total assets	934.0	936.9
Liabilities
Derivative liabilities	0.0	0.0
Total liabilities	0.0	0.0
Quoted prices in active markets (Level 1) | Asset-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Quoted prices in active markets (Level 1) | Residential mortgage-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Quoted prices in active markets (Level 1) | Commercial mortgage-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Quoted prices in active markets (Level 1) | Corporate debt securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Quoted prices in active markets (Level 1) | U.S. government and government agency
Assets
Debt securities, available-for-sale	881.4	859.0
Debt securities, trading	4.1	4.0
Quoted prices in active markets (Level 1) | Non-U.S. government and government agency
Assets
Debt securities, available-for-sale	0.0	0.0
Significant other observable inputs (Level 2)
Assets
Debt securities, available-for-sale	3,753.8	4,272.0
Debt securities, trading	113.5	158.2
Short-term investments	0.0	22.2
Other long-term investments	5.1	3.0
Derivative assets	0.0	0.0
Total assets	3,872.4	4,455.4
Liabilities
Derivative liabilities	0.0	0.0
Total liabilities	0.0	0.0
Significant other observable inputs (Level 2) | Asset-backed securities
Assets
Debt securities, available-for-sale	1,007.8	1,149.7
Debt securities, trading	19.1	53.1
Significant other observable inputs (Level 2) | Residential mortgage-backed securities
Assets
Debt securities, available-for-sale	931.0	973.8
Debt securities, trading	47.9	48.7
Significant other observable inputs (Level 2) | Commercial mortgage-backed securities
Assets
Debt securities, available-for-sale	174.0	224.5
Debt securities, trading	42.7	51.8
Significant other observable inputs (Level 2) | Corporate debt securities
Assets
Debt securities, available-for-sale	1,618.3	1,899.9
Debt securities, trading	3.8	4.6
Significant other observable inputs (Level 2) | U.S. government and government agency
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant other observable inputs (Level 2) | Non-U.S. government and government agency
Assets
Debt securities, available-for-sale	22.7	24.1
Significant unobservable inputs (Level 3)
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Short-term investments	0.0	0.0
Other long-term investments	87.0	86.6
Derivative assets	27.8	0.9
Total assets	114.8	87.5
Liabilities
Derivative liabilities	6.1	14.3
Total liabilities	6.1	14.3
Significant unobservable inputs (Level 3) | Asset-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant unobservable inputs (Level 3) | Residential mortgage-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant unobservable inputs (Level 3) | Commercial mortgage-backed securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant unobservable inputs (Level 3) | Corporate debt securities
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant unobservable inputs (Level 3) | U.S. government and government agency
Assets
Debt securities, available-for-sale	0.0	0.0
Debt securities, trading	0.0	0.0
Significant unobservable inputs (Level 3) | Non-U.S. government and government agency
Assets
Debt securities, available-for-sale	0.0	0.0
Valued at NAV
Assets
Investments in funds valued at NAV	$ 160.2	$ 161.9

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Amount excluding accrued interest, of investment in debt security measured at fair value with change in fair value recognized in other comprehensive income (available-for-sale).

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