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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 9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Earnings Per Share Reconciliation [Abstract]        
Net income attributable to Franklin Resources, Inc. $ 227.5 $ 256.4 $ 587.3 $ 1,059.2
Less: allocation of earnings to participating nonvested stock and stock unit awards - basic 10.2 11.2 26.7 45.6
Less: allocation of earnings to participating nonvested stock and stock unit awards - diluted 10.2 11.2 26.7 45.6
Net Income Available to Common Stockholders - basic 217.3 245.2 560.6 1,013.6
Net Income Available to Common Stockholders - diluted $ 217.3 $ 245.2 $ 560.6 $ 1,013.6
Weighted-average shares outstanding – basic 490.7 487.5 490.3 489.1
Dilutive effect of nonparticipating nonvested stock unit awards 0.7 0.4 0.7 0.6
Weighted-Average Shares Outstanding – Diluted 491.4 487.9 491.0 489.7
Earnings per Share [Abstract]        
Basic $ 0.44 $ 0.50 $ 1.14 $ 2.07
Diluted $ 0.44 $ 0.50 $ 1.14 $ 2.07