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INVESTMENTS. (Investments) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017	Sep. 30, 2018
Investment [Line Items]
U.S. Treasury note	$ 1.0	$ 1.0
Total	2,939.8	2,453.4
Net unrealized gains (losses) on T. Rowe Price investments product recognized in nonoperating income	105.4	(18.5)
Currency translation adjustments | Reclassification out of accumulated other comprehensive income
Investment [Line Items]
Gains recognized upon deconsolidation	0.1	3.6	$ 0.1
Assets
Investment [Line Items]
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest	(380.5)	(736.6)	(1,397.2)
Liability
Investment [Line Items]
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest	(15.0)	17.6	(153.1)
Redeemable non-controlling interest
Investment [Line Items]
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest	(267.6)	(626.4)	(1,042.6)
T. Rowe Price investment products
Investment [Line Items]
Investment held at fair value	1,402.9	1,538.4
Equity method investments	705.6	276.2
Dividend distribution	50.6	36.0	$ 19.2
T. Rowe Price investment products designated as an economic hedge of supplemental savings plan liability
Investment [Line Items]
Investment held at fair value	561.1	381.3
Investment partnerships and other investments
Investment [Line Items]
Investment held at fair value	99.7	99.6
26% interest in UTI Asset Management Company Limited (India)
Investment [Line Items]
Equity method investments	$ 164.5	$ 152.4
Equity method investment (ownership percentage)	26.00%	26.00%
Investment partnerships and other investments
Investment [Line Items]
Equity method investments	$ 5.0	$ 4.5
Daiwa SB Investments Ltd
Investment [Line Items]
Ownership interest in investments (as percent)				10.00%

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