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OTHER COMPREHENSIVE INCOME AND ACCUMULATED OTHER COMPREHENSIVE INCOME. (Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Jan. 01, 2018
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances $ 6,124.3 $ 5,824.4 $ 5,008.6  
Balances, adjusted       $ 5,838.9
Other comprehensive income (loss) (1.0) (28.2) (15.1)  
Ending balances 7,102.1 6,124.3 5,824.4  
Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [1]       14.5
Net unrealized holding gains        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances 0.0 7.9 52.2  
Balances, adjusted       0.0
Other comprehensive income (loss) before reclassifications and income taxes 0.0 0.0 37.4  
Reclassification adjustments recognized in non-operating income 0.0 0.0 (110.2)  
Other comprehensive income (loss), before taxes 0.0 0.0 (72.8)  
Net deferred tax benefits (income taxes) 0.0 0.0 28.5  
Other comprehensive income (loss) 0.0 0.0 (44.3)  
Ending balances 0.0 0.0 7.9  
Net unrealized holding gains | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       (7.9)
Net unrealized holding gains | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       0.0
Currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances (42.0) (11.5) (40.7)  
Balances, adjusted       (13.8)
Other comprehensive income (loss) before reclassifications and income taxes (1.4) (33.8) 47.8  
Reclassification adjustments recognized in non-operating income (0.1) (3.6) (0.1)  
Other comprehensive income (loss), before taxes (1.5) (37.4) 47.7  
Net deferred tax benefits (income taxes) 0.5 9.2 (18.5)  
Other comprehensive income (loss) (1.0) (28.2) 29.2  
Ending balances (43.0) (42.0) (11.5)  
Currency translation adjustments | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       0.0
Currency translation adjustments | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       (2.3)
Currency translation adjustments | Equity method investments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances (48.8) (30.6) (32.3)  
Balances, adjusted       (37.0)
Other comprehensive income (loss) before reclassifications and income taxes 2.4 (15.2) 2.6  
Reclassification adjustments recognized in non-operating income 0.0 0.0 0.0  
Other comprehensive income (loss), before taxes 2.4 (15.2) 2.6  
Net deferred tax benefits (income taxes) (0.5) 3.4 (0.9)  
Other comprehensive income (loss) 1.9 (11.8) 1.7  
Ending balances (46.9) (48.8) (30.6)  
Currency translation adjustments | Equity method investments | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       0.0
Currency translation adjustments | Equity method investments | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       (6.4)
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances 6.8 19.1 (8.4)  
Balances, adjusted       23.2
Other comprehensive income (loss) before reclassifications and income taxes (3.8) (18.6) 45.2  
Reclassification adjustments recognized in non-operating income (0.1) (3.6) (0.1)  
Other comprehensive income (loss), before taxes (3.9) (22.2) 45.1  
Net deferred tax benefits (income taxes) 1.0 5.8 (17.6)  
Other comprehensive income (loss) (2.9) (16.4) 27.5  
Ending balances 3.9 6.8 19.1  
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       0.0
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance       4.1
Total accumulated other comprehensive income        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances [2] (42.0) (3.6) 11.5  
Balances, adjusted [2]       (13.8)
Other comprehensive income (loss) before reclassifications and income taxes (1.4) (33.8) 85.2  
Reclassification adjustments recognized in non-operating income (0.1) (3.6) (110.3)  
Other comprehensive income (loss), before taxes (1.5) (37.4) (25.1)  
Net deferred tax benefits (income taxes) 0.5 9.2 10.0  
Other comprehensive income (loss) [2] (1.0) (28.2) (15.1)  
Ending balances [2] (43.0) (42.0) (3.6)  
Total accumulated other comprehensive income | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [1],[2]       (7.9)
Total accumulated other comprehensive income | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [2]       (2.3)
Total accumulated other comprehensive income | Accounting standards update 2018-02, available for sale securities        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [1]     (1.7)  
Retained earnings        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balances 5,464.1 4,932.9 4,293.6  
Balances, adjusted       4,957.6
Ending balances $ 6,443.5 $ 5,464.1 4,932.9  
Retained earnings | Accounting standards update 2016-01        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [1]       22.4
Retained earnings | Accounting standards update 2018-02, currency translation adjustments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance [2]       $ 2.3
Retained earnings | Accounting standards update 2018-02, available for sale securities        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Cumulative effect of adopting new accounting guidance     $ 1.7  
[1] Includes the reclassification of $1.7 million of stranded income taxes on available-for-sale investments resulting from U.S. tax law changes enacted on December 22, 2017, from accumulated other comprehensive income to retained earnings.
[2] Accumulated other comprehensive income