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Earnings per Share - Components of Basic and Diluted Earnings per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Earnings Per Share Reconciliation [Abstract]    
Net income attributable to Franklin Resources, Inc. $ 163.6 $ 251.3
Less: allocation of earnings to participating nonvested stock and stock unit awards - basic 15.4 9.7
Less: allocation of earnings to participating nonvested stock and stock unit awards - diluted 15.4 9.7
Net Income Available to Common Stockholders - basic 148.2 241.6
Net Income Available to Common Stockholders - diluted $ 148.2 $ 241.6
Weighted-average shares outstanding – basic 517.4 487.0
Dilutive effect of nonparticipating nonvested stock unit awards 0.8 0.9
Weighted-Average Shares Outstanding – Diluted 518.2 487.9
Earnings per Share [Abstract]    
Basic $ 0.29 $ 0.50
Diluted $ 0.29 $ 0.50