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FAIR VALUE MEASUREMENTS. (Details) - USD ($)
$ in Millions
Sep. 30, 2019
Dec. 31, 2018
Level 1 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash equivalents held in T. Rowe Price money market funds $ 1,921.2 $ 1,196.0
Total 3,924.3 3,096.5
Level 2 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash equivalents held in T. Rowe Price money market funds 0.0 0.0
Total 7.9 19.2
Fair value measured at NAV [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 103.2 99.6
T. Rowe Price investment products [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 1,568.0 1,538.4
T. Rowe Price investment products [Member] | Level 1 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 1,560.1 1,519.2
T. Rowe Price investment products [Member] | Level 2 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 7.9 19.2
T. Rowe Price investment products designated as economic hedge of supplemental savings plan liability [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 443.0 381.3
T. Rowe Price investment products designated as economic hedge of supplemental savings plan liability [Member] | Level 1 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products 443.0 381.3
T. Rowe Price investment products designated as economic hedge of supplemental savings plan liability [Member] | Level 2 [Member] | Fair value, measurements, recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
T. Rowe Price investment products $ 0.0 $ 0.0