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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, 2020
Dec. 31, 2019
Dec. 31, 2018
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances $ 7,102.1 $ 6,124.3 $ 5,824.4
Other comprehensive income (loss) 20.0 (1.0) (28.2)
Ending balances 7,707.0 7,102.1 6,124.3
Reclassification adjustment of stranded taxes on available-for-sale investments resulting from U.S. tax law changes enacted on December 22, 2017     1.7
Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     5,838.9
Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [1]     14.5
Currency translation adjustments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances (43.0) (42.0) (11.5)
Other comprehensive income before reclassifications and income taxes 25.0 (1.4) (33.8)
Reclassification adjustments recognized in non-operating income 6.8 (0.1) (3.6)
Other comprehensive income (loss), before taxes 31.8 (1.5) (37.4)
Net deferred tax benefits (income taxes) (11.8) 0.5 9.2
Other comprehensive income (loss) 20.0 (1.0) (28.2)
Ending balances (23.0) (43.0) (42.0)
Currency translation adjustments | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     (13.8)
Currency translation adjustments | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     0.0
Currency translation adjustments | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     (2.3)
Currency translation adjustments | Equity method investments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances (46.9) (48.8) (30.6)
Other comprehensive income before reclassifications and income taxes 2.1 2.4 (15.2)
Reclassification adjustments recognized in non-operating income 7.5 0.0 0.0
Other comprehensive income (loss), before taxes 9.6 2.4 (15.2)
Net deferred tax benefits (income taxes) (6.3) (0.5) 3.4
Other comprehensive income (loss) 3.3 1.9 (11.8)
Ending balances (43.6) (46.9) (48.8)
Currency translation adjustments | Equity method investments | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     (37.0)
Currency translation adjustments | Equity method investments | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     0.0
Currency translation adjustments | Equity method investments | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     (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 3.9 6.8 19.1
Other comprehensive income before reclassifications and income taxes 22.9 (3.8) (18.6)
Reclassification adjustments recognized in non-operating income (0.7) (0.1) (3.6)
Other comprehensive income (loss), before taxes 22.2 (3.9) (22.2)
Net deferred tax benefits (income taxes) (5.5) 1.0 5.8
Other comprehensive income (loss) 16.7 (2.9) (16.4)
Ending balances 20.6 3.9 6.8
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     23.2
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     0.0
Currency translation adjustments | Consolidated T. Rowe Price investment products - variable interest entities | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     4.1
Net unrealized holding gains      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances 0.0 0.0 7.9
Other comprehensive income before reclassifications and income taxes 0.0 0.0 0.0
Reclassification adjustments recognized in non-operating income 0.0 0.0 0.0
Other comprehensive income (loss), before taxes 0.0 0.0 0.0
Net deferred tax benefits (income taxes) 0.0 0.0 0.0
Other comprehensive income (loss) 0.0 0.0 0.0
Ending balances 0.0 0.0 0.0
Net unrealized holding gains | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     0.0
Net unrealized holding gains | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     (7.9)
Net unrealized holding gains | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     0.0
Total accumulated other comprehensive income      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [2] (43.0) (42.0) (3.6)
Other comprehensive income before reclassifications and income taxes 25.0 (1.4) (33.8)
Reclassification adjustments recognized in non-operating income 6.8 (0.1) (3.6)
Other comprehensive income (loss), before taxes 31.8 (1.5) (37.4)
Net deferred tax benefits (income taxes) (11.8) 0.5 9.2
Other comprehensive income (loss) [2] 20.0 (1.0) (28.2)
Ending balances [2] (23.0) (43.0) (42.0)
Total accumulated other comprehensive income | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [2]     (13.8)
Total accumulated other comprehensive income | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [1],[2]     (7.9)
Total accumulated other comprehensive income | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [2]     (2.3)
Retained earnings      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances 6,443.5 5,464.1 4,932.9
Ending balances $ 7,029.8 $ 6,443.5 5,464.1
Retained earnings | Cumulative Effect, Period of Adoption, Adjusted Balance      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances     4,957.6
Retained earnings | Accounting standards update 2016-01 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [1]     22.4
Retained earnings | Accounting Standards Update 2018-02 | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balances [2]     $ 2.3
[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