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FAIR VALUE MEASUREMENTS. (Details) - USD ($)
$ in Millions
Mar. 31, 2021
Dec. 31, 2020
Mar. 31, 2020
Level 1      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Total $ 5,173.5   $ 4,504.0
Level 1 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Cash equivalents held in money market funds 2,487.5 $ 1,931.1  
Other investments 0.2 0.5  
Level 2      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Total 15.6   $ 13.5
Level 2 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Other investments 0.7 0.6  
Fair value measured at NAV      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 99.7 94.0  
Discretionary investments      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 1,664.3 1,647.7  
Discretionary investments | Level 1 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 1,664.3 1,647.7  
Seed capital      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 269.5 169.5  
Seed capital | Level 1 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 254.6 156.6  
Seed capital | Level 2 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 14.9 12.9  
Supplemental savings plan liability economic hedges      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments 766.9 768.1  
Supplemental savings plan liability economic hedges | Level 1 | Fair value, measurements, recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
T. Rowe Price investment products and other investments $ 766.9 $ 768.1