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SUPPLEMENTARY QUARTERLY FINANCIAL DATA (Unaudited). (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Dec. 30, 2016
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Unusual or Infrequent Item, or Both [Line Items]                        
Net revenues   $ 1,305.0 $ 1,394.6 $ 1,345.0 $ 1,328.0 $ 1,297.6 $ 1,238.7 $ 1,186.0 $ 1,132.6 $ 5,372.6 $ 4,854.9 $ 4,284.8
Net income   272.0 581.6 459.6 455.5 386.6 404.2 390.0 400.4 1,768.7 1,581.2 1,254.0
Net income attributable to T. Rowe Price Group   $ 351.9 $ 583.0 $ 448.9 $ 453.7 $ 347.1 $ 390.9 $ 373.9 $ 385.9 $ 1,837.5 $ 1,497.8 $ 1,215.0
Basic earnings on common stock (in dollars per share)   $ 1.43 $ 2.34 $ 1.81 $ 1.81 $ 1.40 $ 1.59 $ 1.52 $ 1.56 $ 7.41 $ 6.07 $ 4.85
Diluted earnings per share (in dollars per share)   1.41 2.30 $ 1.77 $ 1.77 $ 1.37 $ 1.56 $ 1.50 1.54 $ 7.27 $ 5.97 $ 4.75
Income tax provision related to the tax law changes       $ 20.8   $ 71.1       $ 20.8    
Diluted earnings per share related to tax reform (in dollars per share)       $ 0.08   $ 0.28            
Daiwa SB Investments Ltd [Member]                        
Unusual or Infrequent Item, or Both [Line Items]                        
Diluted earnings per share (in dollars per share)     $ 0.27                  
Ownership interest in investments (as percent)     10.00%                  
State and local jurisdiction [Member] | Comptroller of Maryland [Member]                        
Unusual or Infrequent Item, or Both [Line Items]                        
Diluted earnings per share (in dollars per share)       $ (0.03)                
Nonrecurring income tax charge due to Maryland state tax legislation       $ 7.9                
Dell appraisal rights matter [Member]                        
Unusual or Infrequent Item, or Both [Line Items]                        
Diluted earnings per share (in dollars per share)   $ 0.05             $ 0.12      
Insurance proceeds $ 100.0               $ 50.0      
Nonrecurring charge related to Dell appraisal rights matter   $ (15.2)                   $ 166.2