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INVESTMENTS. (Investments) (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Oct. 29, 2020
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Schedule of Equity Method Investments [Line Items]            
U.S. Treasury note   $ 1.0   $ 1.0   $ 1.0
Total   3,030.8   3,030.8   2,939.8
Net unrealized gains (losses) on T. Rowe Price investments product recognized in nonoperating income   75.5 $ 4.8 53.6 $ 84.2  
Gains (losses) recognized upon deconsolidation   191.6 43.0 106.4 370.3  
Reclassification out of accumulated other comprehensive income | Currency translation adjustments            
Schedule of Equity Method Investments [Line Items]            
Gains (losses) recognized upon deconsolidation   0.0 (0.1) 0.1 0.1  
Assets            
Schedule of Equity Method Investments [Line Items]            
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest   (132.2) (113.5) (278.4) (169.6)  
Liability            
Schedule of Equity Method Investments [Line Items]            
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest   (4.0) (9.8) (7.6) (11.0)  
Redeemable noncontrolling interest            
Schedule of Equity Method Investments [Line Items]            
Net increase (decrease) in assets, liabilities, and redeemable noncontrolling interest   (44.0) $ (72.3) (106.9) $ (81.4)  
T. Rowe Price investment products - discretionary investments            
Schedule of Equity Method Investments [Line Items]            
Investments held at fair value   1,005.6   1,005.6   1,221.8
Equity method investments   829.1   829.1   610.0
T. Rowe Price investment products - seed capital            
Schedule of Equity Method Investments [Line Items]            
Investments held at fair value   160.0   160.0   181.1
Equity method investments   166.2   166.2   95.6
T. Rowe Price investment products - supplemental savings plan liability economic hedges            
Schedule of Equity Method Investments [Line Items]            
Investments held at fair value   565.3   565.3   561.1
Equity method investments   40.4   40.4   0.0
Investment partnerships and other investments            
Schedule of Equity Method Investments [Line Items]            
Investments held at fair value   99.4   99.4   99.7
26% interest in UTI Asset Management Company Limited (India)            
Schedule of Equity Method Investments [Line Items]            
Equity method investments   $ 158.5   $ 158.5   $ 164.5
Equity method investment (ownership percentage)   26.00%   26.00%   26.00%
26% interest in UTI Asset Management Company Limited (India) | Subsequent Event            
Schedule of Equity Method Investments [Line Items]            
Gain on sale of equity investments $ 3.5          
Equity method investment (ownership percentage) 23.00%          
Investment partnerships and other investments            
Schedule of Equity Method Investments [Line Items]            
Equity method investments   $ 5.3   $ 5.3   $ 5.0