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OTHER COMPREHENSIVE INCOME AND ACCUMULATED OTHER COMPREHENSIVE INCOME. (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Millions
 3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Dec. 31, 2017
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance $ 6,124.3 $ 5,824.4  
Balances, As Adjusted     $ 5,838.9
Other comprehensive income (loss) 0.4 7.4  
Ending Balance 6,311.0 5,901.9  
Net unrealized holding gains [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance   7.9  
Balances, As Adjusted     0.0
Other comprehensive income (loss) before reclassifications and income taxes   0.0  
Reclassification adjustments recognized in non-operating income   0.0  
Other comprehensive income (loss), before taxes   0.0  
Net deferred tax benefits (income taxes)   0.0  
Other comprehensive income (loss)   0.0  
Ending Balance   0.0  
Currency translation adjustments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (42.0) (11.5)  
Balances, As Adjusted     (13.8)
Other comprehensive income (loss) before reclassifications and income taxes 0.4 13.0  
Reclassification adjustments recognized in non-operating income (0.1) (3.1)  
Other comprehensive income (loss), before taxes 0.3 9.9  
Net deferred tax benefits (income taxes) 0.1 (2.5)  
Other comprehensive income (loss) 0.4 7.4  
Ending Balance (41.6) (6.4)  
Currency translation adjustments [Member] | Equity method investments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (48.8) (30.6)  
Balances, As Adjusted     (37.0)
Other comprehensive income (loss) before reclassifications and income taxes 4.9 3.8  
Reclassification adjustments recognized in non-operating income 0.0 0.0  
Other comprehensive income (loss), before taxes 4.9 3.8  
Net deferred tax benefits (income taxes) (1.1) (0.8)  
Other comprehensive income (loss) 3.8 3.0  
Ending Balance (45.0) (34.0)  
Currency translation adjustments [Member] | Consolidated T. Rowe Price investment products - variable interest entities [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance 6.8 19.1  
Balances, As Adjusted     23.2
Other comprehensive income (loss) before reclassifications and income taxes (4.5) 9.2  
Reclassification adjustments recognized in non-operating income (0.1) (3.1)  
Other comprehensive income (loss), before taxes (4.6) 6.1  
Net deferred tax benefits (income taxes) 1.2 (1.7)  
Other comprehensive income (loss) (3.4) 4.4  
Ending Balance 3.4 27.6  
Total accumulated other comprehensive income (loss) [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance [1] (42.0) (3.6)  
Balances, As Adjusted [1]     (13.8)
Other comprehensive income (loss) before reclassifications and income taxes 0.4 13.0  
Reclassification adjustments recognized in non-operating income (0.1) (3.1)  
Other comprehensive income (loss), before taxes 0.3 9.9  
Net deferred tax benefits (income taxes) 0.1 (2.5)  
Other comprehensive income (loss) [1] 0.4 7.4  
Ending Balance [1] (41.6) (6.4)  
Retained earnings [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance 5,464.1 4,932.9  
Balances, As Adjusted     4,957.6
Ending Balance $ 5,650.8 $ 5,205.0  
Accounting standards update 2016-01 [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     14.5
Accounting standards update 2016-01 [Member] | Net unrealized holding gains [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     (7.9)
Accounting standards update 2016-01 [Member] | Currency translation adjustments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     0.0
Accounting standards update 2016-01 [Member] | Currency translation adjustments [Member] | Equity method investments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     0.0
Accounting standards update 2016-01 [Member] | Currency translation adjustments [Member] | Consolidated T. Rowe Price investment products - variable interest entities [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     0.0
Accounting standards update 2016-01 [Member] | Total accumulated other comprehensive income (loss) [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018 [1],[2]     (7.9)
Accounting standards update 2016-01 [Member] | Retained earnings [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018 [2]     22.4
Accounting standards update 2018-02, currency translation adjustments [Member] | Net unrealized holding gains [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     0.0
Accounting standards update 2018-02, currency translation adjustments [Member] | Currency translation adjustments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     (2.3)
Accounting standards update 2018-02, currency translation adjustments [Member] | Currency translation adjustments [Member] | Equity method investments [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     (6.4)
Accounting standards update 2018-02, currency translation adjustments [Member] | Currency translation adjustments [Member] | Consolidated T. Rowe Price investment products - variable interest entities [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     4.1
Accounting standards update 2018-02, currency translation adjustments [Member] | Total accumulated other comprehensive income (loss) [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018 [1]     (2.3)
Accounting standards update 2018-02, currency translation adjustments [Member] | Retained earnings [Member]      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Cumulative effect adjustment upon adoption of new accounting guidance on January 1, 2018     $ 2.3
[1] Accumulated other comprehensive income.
[2] ncludes the reclassification of $1.7 million of stranded income taxes on certain investments resulting from U.S. tax law changes enacted on December 22, 2017, from accumulated other comprehensive income to retained earnings.