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INVESTMENTS. (Investments) (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Dec. 31, 2020
Schedule of Equity Method Investments [Line Items]      
U.S. Treasury note $ 1.0   $ 1.0
Total 3,403.6   3,250.8
Net unrealized gains (losses) on T. Rowe Price investments product recognized in nonoperating income 38.8 $ (103.6)  
Gains recognized upon deconsolidation 102.1 (500.3)  
Reclassification out of accumulated other comprehensive income | Currency translation adjustments      
Schedule of Equity Method Investments [Line Items]      
Gains recognized upon deconsolidation 2.6 0.1  
Assets      
Schedule of Equity Method Investments [Line Items]      
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (928.1) (46.2)  
Liability      
Schedule of Equity Method Investments [Line Items]      
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (15.3) (2.4)  
Redeemable noncontrolling interest      
Schedule of Equity Method Investments [Line Items]      
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest (739.9) $ (20.1)  
Discretionary investments      
Schedule of Equity Method Investments [Line Items]      
Investments held at fair value 1,664.3   1,647.7
Equity method investments 245.8   242.9
Seed capital      
Schedule of Equity Method Investments [Line Items]      
Investments held at fair value 269.5   169.5
Equity method investments 203.7   178.6
Supplemental savings plan liability economic hedges      
Schedule of Equity Method Investments [Line Items]      
Investments held at fair value 766.9   768.1
Investment partnerships and other investments      
Schedule of Equity Method Investments [Line Items]      
Investments held at fair value 100.6   95.1
23% investment in UTI Asset Management Company Limited (India)      
Schedule of Equity Method Investments [Line Items]      
Equity method investments $ 149.1   $ 145.5
Equity method investment (ownership percentage) 23.00%   23.00%
Investment partnerships and other investments      
Schedule of Equity Method Investments [Line Items]      
Equity method investments $ 2.7   $ 2.4