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INVESTMENTS. (Investments) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Dec. 31, 2018
Investment [Line Items]          
U.S. Treasury note $ 1.0   $ 1.0   $ 1.0
Total 2,575.2   2,575.2   2,453.4
Net unrealized gains (losses) on T. Rowe Price investments product recognized in nonoperating income 28.7 $ 8.0 79.3 $ 6.1  
Gains (losses) recognized upon deconsolidation 124.5 34.1 327.3 50.2  
Reclassification out of accumulated other comprehensive income [Member] | Currency translation adjustments [Member]          
Investment [Line Items]          
Gains (losses) recognized upon deconsolidation 0.1 0.5 0.2 3.6  
Assets [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (68.4) 97.1 (56.1) (660.4)  
Liability [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (0.3) 23.7 (1.2) 18.5  
Redeemable noncontrolling interest [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (29.5) $ 57.7 (9.1) $ (575.2)  
T. Rowe Price investment products [Member]          
Investment [Line Items]          
Investments held at fair value 1,546.2   1,546.2   1,538.4
Equity method investments 317.3   317.3   276.2
T. Rowe Price investment products designated as economic hedge of supplemental savings plan liability [Member]          
Investment [Line Items]          
Investments held at fair value 441.3   441.3   381.3
Investment partnerships and other investments [Member]          
Investment [Line Items]          
Investments held at fair value 100.4   100.4   99.6
Interest in UTI Asset Management Company Limited (India) [Member]          
Investment [Line Items]          
Equity method investments $ 164.1   $ 164.1   $ 152.4
Equity method investment (ownership percentage) 26.00%   26.00%   26.00%
Investment partnerships and other investments [Member]          
Investment [Line Items]          
Equity method investments $ 4.9   $ 4.9   $ 4.5