Consolidated Statements of Cash Flows - USD ($) $ in Millions	6 Months Ended
Jun. 30, 2018	Jun. 30, 2017
Statement of Cash Flows [Abstract]
Net income	$ 1,431.0	$ 803.0
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation	86.6	84.0
Amortization of intangible assets	36.0	31.0
Net amortization of fixed-income securities	23.2	44.1
Amortization of equity-based compensation	38.5	53.9
Net realized (gains) losses on securities	15.4	(84.0)
Net (gains) losses on disposition of property and equipment	1.7	3.2
Other (gains) losses	0.0	(0.2)
Changes in:
Premiums receivable	(807.7)	(582.0)
Reinsurance recoverables	(137.3)	(142.4)
Prepaid reinsurance premiums	(86.5)	(42.1)
Deferred acquisition costs	(115.2)	(76.0)
Income taxes	2.0	(64.3)
Unearned premiums	1,342.4	939.0
Loss and loss adjustment expense reserves	983.9	692.3
Accounts payable, accrued expenses, and other liabilities	700.4	430.2
Other, net	(31.1)	(67.1)
Net cash provided by operating activities	3,483.3	2,022.6
Purchases:
Fixed maturities	(10,780.0)	(6,803.3)
Equity securities	(136.4)	(89.5)
Sales:
Fixed maturities	3,916.1	2,359.9
Equity securities	460.0	133.3
Maturities, paydowns, calls, and other:
Fixed maturities	2,936.2	2,413.5
Equity securities	15.0	50.0
Net sales (purchases) of short-term investments	(343.8)	(146.8)
Net unsettled security transactions	367.9	259.3
Purchases of property and equipment	(102.0)	(73.2)
Sales of property and equipment	6.7	12.5
Payments to Acquire Additional Interest in Subsidiaries	(295.9)	0.0
Payments to Acquire Businesses, Net of Cash Acquired	0.0	(18.1)
Net cash used in investing activities	(3,956.2)	(1,902.4)
Cash Flows From Financing Activities
Net proceeds from issuance of Serial Preferred Shares, Series B	493.9	0.0
Net proceeds from debt issuance	589.5	841.1
Payments of debt	(37.1)	(12.5)
Redemption/reacquisition of subordinated debt	0.0	(594.4)
Dividends paid to common shareholders	(654.9)	(395.4)
Proceeds from exercise of equity options	3.3	0.5
Acquisition of treasury shares for restricted stock tax liabilities	(39.0)	(24.1)
Acquisition of treasury shares acquired in open market	(0.4)	0.0
Net cash provided by (used in) financing activities	355.3	(184.8)
Decrease in cash, cash equivalents, and restricted cash	(117.6)	(64.6)
Cash, cash equivalents, and restricted cash – January 1	275.3	226.4
Cash, cash equivalents, and restricted cash - March 31	$ 157.7	$ 161.8

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Amount of cash inflow from sale 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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The cash inflow associated with the sale of equity securities classified as available-for-sale securities.

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The cash inflow from the sale of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale.

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Amount of cash inflow from exercise of stock options granted under share-based compensation arrangement.

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The consolidated profit or loss for the period, net of income taxes, including the portion attributable to the noncontrolling interest.

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The net realized gains or losses on investments during the period, not including gains or losses on securities separately or otherwise categorized as trading, available-for-sale, or held-to-maturity.

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The cash outflow during the period from the repayment of aggregate short-term and long-term debt. Excludes payment of capital lease obligations.

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The noncash expense that represents the cost of restricted stock or unit distributed to employees as compensation.

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