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Dividends and Share Repurchases (Details) - $ / shares |  |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
Apr. 28, 2020 | Feb. 21, 2020 | Mar. 31, 2020 | Mar. 31, 2019 | Mar. 31, 2020 | Mar. 31, 2019
Dividends Payable [Line Items] |  |  |  |  |  |
Cash dividends per share (in dollars per share) |  | $ 0.22 | $ 0.22 | $ 0.20 | $ 0.43 | $ 0.38
Stock repurchased (in shares) |  |  | 2,423,613 |  |  |
Average cost per share (in dollars per share) |  |  | $ 32.43 |  |  |
Remaining shares authorized to be repurchased (in shares) |  |  | 4,628,987 |  | 4,628,987 |
Subsequent Event |  |  |  |  |  |
Dividends Payable [Line Items] |  |  |  |  |  |
Dividends declared (in dollars per share) | $ 0.22 |  |  |  |  |

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