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INVESTMENTS. (Investments) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Dec. 31, 2017
Investment [Line Items]          
U.S. Treasury note $ 1.0   $ 1.0   $ 1.0
Total 2,414.4   2,414.4   1,477.3
Available-for-sale investments         597.1
Net unrealized gains on T. Rowe Price investments product recognized in nonoperating income 11.3   17.4    
Gains (losses) recognized upon deconsolidation 124.9 $ 67.3 175.1 $ 294.3  
Reclassification out of accumulated other comprehensive income [Member] | Currency translation adjustments [Member]          
Investment [Line Items]          
Gains (losses) recognized upon deconsolidation 0.0 0.1 3.6 0.1  
Assets [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest 41.1 (13.5) 701.5 1,060.5  
Liability [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (0.6) 0.0 17.9 (133.6)  
Redeemable noncontrolling interest [Member]          
Investment [Line Items]          
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (19.8) $ 7.9 (595.0) $ (779.3)  
T. Rowe Price investment products [Member]          
Investment [Line Items]          
Investments held at fair value 1,344.2   1,344.2   692.1
Equity method investments 514.2   514.2   277.4
T. Rowe Price investment products designated as economic hedge of supplemental savings plan liability [Member]          
Investment [Line Items]          
Investments held at fair value 294.6   294.6   268.2
Investment partnerships and other investments [Member]          
Investment [Line Items]          
Investments held at fair value 97.2   97.2   78.0
Interest in UTI Asset Management Company Limited (India) [Member]          
Investment [Line Items]          
Equity method investments $ 158.6   $ 158.6   $ 155.8
Equity method investment (ownership percentage) 26.00%   26.00%   26.00%
Investment partnerships and other investments [Member]          
Investment [Line Items]          
Equity method investments $ 4.6   $ 4.6   $ 4.8
Daiwa SB Investments Ltd [Member]          
Investment [Line Items]          
Ownership interest in investment 10.00%   10.00%