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INFORMATION ABOUT RECEIVABLES, REVENUES, AND SERVICES. (Investment Advisory Services) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	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
Revenue and Services [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
Average assets under management									1,036,500.0	909,000.0	778,200.0
Period end assets under management	962,300.0				991,100.0				962,300.0	991,100.0
T. Rowe Price U.S. mutual funds [Member]
Revenue and Services [Line Items]
Net revenues									3,815.2	3,560.6	3,183.3
Average assets under management									621,800.0	568,500.0	495,500.0
Period end assets under management	564,500.0				606,300.0				564,500.0	606,300.0
T. Rowe Price U.S. mutual funds [Member] | Stock and blended asset [Member]
Revenue and Services [Line Items]
Average assets under management									493,600.0	447,500.0	386,100.0
Period end assets under management	441,100.0				480,500.0				441,100.0	480,500.0
T. Rowe Price U.S. mutual funds [Member] | Bond and money market [Member]
Revenue and Services [Line Items]
Average assets under management									128,200.0	121,000.0	109,400.0
Period end assets under management	123,400.0				125,800.0				123,400.0	125,800.0
Subadvised and separate accounts and other investment product [Member]
Revenue and Services [Line Items]
Net revenues									1,475.6	1,215.8	1,023.3
Average assets under management									414,700.0	340,500.0	282,700.0
Period end assets under management	397,800.0				384,800.0				397,800.0	384,800.0
Subadvised and separate accounts and other investment product [Member] | Stock and blended asset [Member]
Revenue and Services [Line Items]
Average assets under management									317,300.0	256,400.0	211,100.0
Period end assets under management	299,200.0				291,900.0				299,200.0	291,900.0
Subadvised and separate accounts and other investment product [Member] | Bond and money market [Member]
Revenue and Services [Line Items]
Average assets under management									97,400.0	84,100.0	71,600.0
Period end assets under management	$ 98,600.0				$ 92,900.0				98,600.0	92,900.0
Other clients [Member]
Revenue and Services [Line Items]
Net revenues									81.8	78.5	78.2
Investment advisory fees [Member]
Revenue and Services [Line Items]
Net revenues									4,850.6	4,295.8	3,735.0
Investment advisory fees [Member] | T. Rowe Price U.S. mutual funds [Member]
Revenue and Services [Line Items]
Net revenues									3,375.0	3,080.0	2,711.7
Investment advisory fees [Member] | T. Rowe Price U.S. mutual funds [Member] | Stock and blended asset [Member]
Revenue and Services [Line Items]
Net revenues									2,858.1	2,571.7	2,228.7
Investment advisory fees [Member] | T. Rowe Price U.S. mutual funds [Member] | Bond and money market [Member]
Revenue and Services [Line Items]
Net revenues									516.9	508.3	483.0
Investment advisory fees [Member] | Subadvised and separate accounts and other investment product [Member]
Revenue and Services [Line Items]
Net revenues									1,475.6	1,215.8	1,023.3
Investment advisory fees [Member] | Subadvised and separate accounts and other investment product [Member] | Stock and blended asset [Member]
Revenue and Services [Line Items]
Net revenues									1,236.8	1,009.4	850.3
Investment advisory fees [Member] | Subadvised and separate accounts and other investment product [Member] | Bond and money market [Member]
Revenue and Services [Line Items]
Net revenues									238.8	206.4	173.0
Investment advisory fees [Member] | Other clients [Member]
Revenue and Services [Line Items]
Net revenues									0.0	0.0	0.0
Administrative fees [Member]
Revenue and Services [Line Items]
Net revenues									384.0	412.1	408.1
Administrative fees [Member] | T. Rowe Price U.S. mutual funds [Member]
Revenue and Services [Line Items]
Net revenues									302.2	333.6	329.9
Administrative fees [Member] | Subadvised and separate accounts and other investment product [Member]
Revenue and Services [Line Items]
Net revenues									0.0	0.0	0.0
Administrative fees [Member] | Other clients [Member]
Revenue and Services [Line Items]
Net revenues									81.8	78.5	78.2
Distribution and servicing fees [Member]
Revenue and Services [Line Items]
Net revenues									138.0	147.0	141.7
Distribution and servicing fees [Member] | T. Rowe Price U.S. mutual funds [Member]
Revenue and Services [Line Items]
Net revenues									138.0	147.0	141.7
Distribution and servicing fees [Member] | Subadvised and separate accounts and other investment product [Member]
Revenue and Services [Line Items]
Net revenues									0.0	0.0	0.0
Distribution and servicing fees [Member] | Other clients [Member]
Revenue and Services [Line Items]
Net revenues									$ 0.0	$ 0.0	$ 0.0

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