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OTHER COMPREHENSIVE INCOME AND ACCUMULATED OTHER COMPREHENSIVE INCOME. (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jan. 01, 2018
Dec. 31, 2017
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance $ 5,824.4       $ 5,824.4  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018 [1]   $ 14.5        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018 2.3 0.0        
Balances, As Adjusted   5,838.9        
Other comprehensive income (loss)         (17.2)  
Ending Balance   5,824.4 $ 6,460.5   6,460.5  
Net unrealized holding gains [Member]            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance 7.9       7.9  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018   (7.9)        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   0.0        
Balances, As Adjusted   0.0        
Other comprehensive income 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 income taxes       $ (1.9) 0.0 $ 25.3
Other comprehensive income (loss)         0.0  
Ending Balance   7.9 0.0   0.0  
Currency translation adjustments [Member]            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance (11.5)       (11.5)  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018   0.0        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   (2.3)        
Balances, As Adjusted   (13.8)        
Other comprehensive income before reclassifications and income taxes         (19.4)  
Reclassification adjustments recognized in non-operating income         (3.6)  
Other comprehensive income (loss), before taxes         (23.0)  
Net deferred tax income taxes     2.3 (5.2) 5.8 (17.1)
Other comprehensive income (loss)         (17.2)  
Ending Balance   (11.5) (31.0)   (31.0)  
Currency translation adjustments [Member] | Equity method investments [Member]            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance (30.6)       (30.6)  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018   0.0        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   (6.4)        
Balances, As Adjusted   (37.0)        
Other comprehensive income before reclassifications and income taxes         (6.6)  
Reclassification adjustments recognized in non-operating income         0.0  
Other comprehensive income (loss), before taxes         (6.6)  
Net deferred tax income taxes         1.5  
Other comprehensive income (loss)         (5.1)  
Ending Balance   (30.6) (42.1)   (42.1)  
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 19.1       19.1  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018   0.0        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   4.1        
Balances, As Adjusted   23.2        
Other comprehensive income before reclassifications and income taxes         (12.8)  
Reclassification adjustments recognized in non-operating income         (3.6)  
Other comprehensive income (loss), before taxes         (16.4)  
Net deferred tax income taxes         4.3  
Other comprehensive income (loss)         (12.1)  
Ending Balance   19.1 11.1   11.1  
Total accumulated other comprehensive income (loss) [Member]            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance (3.6)       (3.6)  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018 [1]   (7.9)        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   (2.3)        
Balances, As Adjusted   (13.8)        
Other comprehensive income before reclassifications and income taxes         (19.4)  
Reclassification adjustments recognized in non-operating income         (3.6)  
Other comprehensive income (loss), before taxes         (23.0)  
Net deferred tax income taxes     2.3 $ (7.1) 5.8 $ 8.2
Other comprehensive income (loss)         (17.2)  
Ending Balance   (3.6) (31.0)   (31.0)  
Reclassification adjustment of stranded taxes on available-for-sale investments   (1.7)        
Retained earnings [Member]            
AOCI Attributable to Parent, Net of Tax [Roll Forward]            
Beginning Balance $ 4,932.9       4,932.9  
Cumulative effect adjustment upon adoption of new financial instruments and accumulated other comprehensive income guidance on January 1, 2018 [1]   22.4        
Reclassification adjustment of stranded tax benefits on currency translation adjustments upon adoption of new accumulated other comprehensive income guidance on January 1, 2018   2.3        
Balances, As Adjusted   4,957.6        
Ending Balance   4,932.9 $ 5,788.5   $ 5,788.5  
Reclassification adjustment of stranded taxes on available-for-sale investments   $ 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.