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INFORMATION ABOUT RECEIVABLES, REVENUES, AND SERVICES. (Services Concentration and Receivables) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
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
Concentration Risk [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
Accounts receivable $ 549.6 $ 565.3 549.6       565.3       549.6 565.3  
T. Rowe Price investment products [Member]                          
Concentration Risk [Line Items]                          
Net revenues                     4,453.6 4,038.8 $ 3,569.3
Accounts receivable $ 354.8 $ 371.9 $ 354.8       $ 371.9       $ 354.8 $ 371.9  
Outside U.S. [Member] | Assets under management [Member] | Investment advisory clients [Member] | Geographic concentration [Member]                          
Concentration Risk [Line Items]                          
Concentration risk, percentage 6.00% 6.00%