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Summary of Significant Accounting Policies - Summary of the Impacts on Previously Issued Consolidated Financial Statements (Details) - USD ($) $ / shares in Units, $ in Millions |  | 3 Months Ended | 12 Months Ended
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Oct. 01, 2019 | Dec. 31, 2022 | Sep. 30, 2022 | [2] | Jun. 30, 2022 | Mar. 31, 2022 | [3] | Dec. 31, 2021 | Sep. 30, 2021 | Jun. 30, 2021 | [5] | Mar. 31, 2021 | [6] | Dec. 31, 2020 | [7] | Dec. 31, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  | $ 1,596.4 |  |  |  |  |  | $ 7,227.6 | $ 6,469.1 | $ 5,740.4
Gross income |  | $ 315.0 | [1] | $ 288.6 | $ 247.0 | $ 203.8 | 195.3 | $ 308.7 | [4] | $ 394.1 | $ 319.6 | $ 245.8 | 1,054.4 | 1,268.2 | 1,116.4
Operating income |  | 147.0 | [1] | 117.2 | 76.3 | 31.8 | 41.6 | 134.4 | [4] | 213.3 | 145.3 | 99.1 | 372.3 | 592.1 | 484.8
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  | 24.2 |  |  |  |  |  | 275.6 | 545.3 | 435.2
Provision for income taxes |  |  |  |  |  |  | 1.2 |  |  |  |  |  | 97.5 | 36.4 | 111.9
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  | 23.0 |  |  |  |  |  | 178.1 | 508.9 | 323.3
Net income |  | 75.1 | [1] | $ 66.9 | $ 32.1 | $ (0.2) | $ 24.2 | 112.9 | [4] | $ 221.0 | $ 103.0 | $ 72.0 | $ 173.9 | $ 508.9 | $ 321.5
Basic Earnings per share |  |  |  |  |  |  | $ 0.36 |  |  |  |  |  | $ 2.65 | $ 7.43 | $ 4.72
Diluted Earnings per share |  |  |  |  |  |  | $ 0.36 |  |  |  |  |  | $ 2.63 | $ 7.35 | $ 4.67
Inventories, net |  | 1,865.6 |  |  |  |  | $ 1,550.4 | 1,411.5 |  |  |  |  | $ 1,865.6 | $ 1,411.5 |
Total current assets |  | 4,532.1 |  |  |  |  | 4,282.3 | 4,562.0 |  |  |  |  | 4,532.1 | 4,562.0 |
Long-term net deferred tax asset |  | 134.8 |  |  |  |  | 71.7 | 8.3 |  |  |  |  | 134.8 | 8.3 |
Total assets |  | 7,729.0 |  |  |  |  | 6,849.7 | 7,035.7 |  |  |  |  | 7,729.0 | 7,035.7 |
Income taxes payable |  | 100.3 |  |  |  |  | 222.1 | 64.9 |  |  |  |  | 100.3 | 64.9 |
Retained earnings | $ 76.6 | 3,315.0 |  |  |  |  | 3,238.5 | 3,239.2 |  |  |  |  | 3,315.0 | 3,239.2 |
Total shareholders' equity |  | 3,185.7 |  |  |  |  | 3,204.3 | 3,357.7 |  |  |  |  | 3,185.7 | 3,357.7 |
Total liabilities and shareholders' equity |  | 7,729.0 |  |  |  |  | 6,849.7 | 7,035.7 |  |  |  |  | 7,729.0 | 7,035.7 |
Deferred income taxes |  |  |  |  |  |  | (179.5) |  |  |  |  |  | (53.5) | 99.8 | $ 21.5
Increase (decrease) in income taxes payable |  |  |  |  |  |  | 190.6 |  |  |  |  |  | 71.8 | (156.7) | (52.1)
(Increase) decrease in inventories | $ 100.6 |  |  |  |  |  | 139.0 |  |  |  |  |  | 330.8 | (199.3) | 242.8
Other Long Term Liabilities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Long-term net deferred tax liability |  |  |  |  |  |  |  | 108.1 |  |  |  |  |  | 108.1 |
As Computed under LIFO |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | 7,285.5 |  |
Gross income |  |  |  |  |  |  |  |  |  |  |  |  | 996.5 |  |
Operating income |  |  |  |  |  |  |  |  |  |  |  |  | 314.4 |  |
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 217.7 |  |
Provision for income taxes |  |  |  |  |  |  |  |  |  |  |  |  | 83.7 |  |
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 134.0 |  |
Net income |  |  |  |  |  |  |  |  |  |  |  |  | $ 129.8 |  |
Basic Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.98 |  |
Diluted Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.96 |  |
Inventories, net |  | 1,640.0 |  |  |  |  |  |  |  |  |  |  | $ 1,640.0 |  |
Total current assets |  | 4,306.5 |  |  |  |  |  |  |  |  |  |  | 4,306.5 |  |
Long-term net deferred tax asset |  | 164.3 |  |  |  |  |  |  |  |  |  |  | 164.3 |  |
Total assets |  | 7,532.9 |  |  |  |  |  |  |  |  |  |  | 7,532.9 |  |
Income taxes payable |  | 76.2 |  |  |  |  |  |  |  |  |  |  | 76.2 |  |
Retained earnings |  | 3,143.0 |  |  |  |  |  |  |  |  |  |  | 3,143.0 |  |
Total shareholders' equity |  | 3,013.7 |  |  |  |  |  |  |  |  |  |  | 3,013.7 |  |
Total liabilities and shareholders' equity |  | 7,532.9 |  |  |  |  |  |  |  |  |  |  | 7,532.9 |  |
Deferred income taxes |  |  |  |  |  |  |  |  |  |  |  |  | (43.2) |  |
Increase (decrease) in income taxes payable |  |  |  |  |  |  |  |  |  |  |  |  | 47.7 |  |
(Increase) decrease in inventories |  |  |  |  |  |  |  |  |  |  |  |  | (272.9) |  |
Adjustments |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | (57.9) |  |
Gross income |  |  |  |  |  |  |  |  |  |  |  |  | 57.9 |  |
Operating income |  |  |  |  |  |  |  |  |  |  |  |  | 57.9 |  |
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 57.9 |  |
Provision for income taxes |  |  |  |  |  |  |  |  |  |  |  |  | 13.8 |  |
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 44.1 |  |
Net income |  |  |  |  |  |  |  |  |  |  |  |  | $ 44.1 |  |
Basic Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.67 |  |
Diluted Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.67 |  |
Inventories, net |  | 225.6 |  |  |  |  |  |  |  |  |  |  | $ 225.6 |  |
Total current assets |  | 225.6 |  |  |  |  |  |  |  |  |  |  | 225.6 |  |
Long-term net deferred tax asset |  | (29.5) |  |  |  |  |  |  |  |  |  |  | (29.5) |  |
Total assets |  | 196.1 |  |  |  |  |  |  |  |  |  |  | 196.1 |  |
Income taxes payable |  | 24.1 |  |  |  |  |  |  |  |  |  |  | 24.1 |  |
Retained earnings |  | 172.0 |  |  |  |  |  |  |  |  |  |  | 172.0 |  |
Total shareholders' equity |  | 172.0 |  |  |  |  |  |  |  |  |  |  | 172.0 |  |
Total liabilities and shareholders' equity |  | 196.1 |  |  |  |  |  |  |  |  |  |  | 196.1 |  |
Deferred income taxes |  |  |  |  |  |  |  |  |  |  |  |  | (10.3) |  |
Increase (decrease) in income taxes payable |  |  |  |  |  |  |  |  |  |  |  |  | 24.1 |  |
(Increase) decrease in inventories |  |  |  |  |  |  |  |  |  |  |  |  | (57.9) |  |
As Reported under FIFO |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |  | 7,227.6 |  |
Gross income |  |  |  |  |  |  |  |  |  |  |  |  | 1,054.4 |  |
Operating income |  |  |  |  |  |  |  |  |  |  |  |  | 372.3 |  |
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 275.6 |  |
Provision for income taxes |  |  |  |  |  |  |  |  |  |  |  |  | 97.5 |  |
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  |  |  |  |  |  |  | 178.1 |  |
Net income |  |  |  |  |  |  |  |  |  |  |  |  | $ 173.9 |  |
Basic Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 2.65 |  |
Diluted Earnings per share |  |  |  |  |  |  |  |  |  |  |  |  | $ 2.63 |  |
Inventories, net |  | 1,865.6 |  |  |  |  |  |  |  |  |  |  | $ 1,865.6 |  |
Total current assets |  | 4,532.1 |  |  |  |  |  |  |  |  |  |  | 4,532.1 |  |
Long-term net deferred tax asset |  | 134.8 |  |  |  |  |  |  |  |  |  |  | 134.8 |  |
Total assets |  | 7,729.0 |  |  |  |  |  |  |  |  |  |  | 7,729.0 |  |
Income taxes payable |  | 100.3 |  |  |  |  |  |  |  |  |  |  | 100.3 |  |
Retained earnings |  | 3,315.0 |  |  |  |  |  |  |  |  |  |  | 3,315.0 |  |
Total shareholders' equity |  | 3,185.7 |  |  |  |  |  |  |  |  |  |  | 3,185.7 |  |
Total liabilities and shareholders' equity |  | $ 7,729.0 |  |  |  |  |  |  |  |  |  |  | 7,729.0 |  |
Deferred income taxes |  |  |  |  |  |  |  |  |  |  |  |  | (53.5) |  |
Increase (decrease) in income taxes payable |  |  |  |  |  |  |  |  |  |  |  |  | 71.8 |  |
(Increase) decrease in inventories |  |  |  |  |  |  |  |  |  |  |  |  | $ (330.8) |  |
As Previously Reported |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  | 1,620.0 |  |  |  |  |  |  | 6,516.5 | 5,736.5
Gross income |  |  |  |  |  |  | 171.7 |  |  |  |  |  |  | 1,220.8 | 1,120.3
Operating income |  |  |  |  |  |  | 18.0 |  |  |  |  |  |  | 544.7 | 488.7
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  | 0.6 |  |  |  |  |  |  | 497.9 | 439.1
Provision for income taxes |  |  |  |  |  |  | (4.4) |  |  |  |  |  |  | 25.2 | 112.8
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  | 5.0 |  |  |  |  |  |  | 472.7 | 326.3
Net income |  |  |  |  |  |  | $ 6.2 |  |  |  |  |  |  | $ 472.7 | $ 324.5
Basic Earnings per share |  |  |  |  |  |  | $ 0.09 |  |  |  |  |  |  | $ 6.90 | $ 4.76
Diluted Earnings per share |  |  |  |  |  |  | $ 0.09 |  |  |  |  |  |  | $ 6.83 | $ 4.72
Inventories, net |  |  |  |  |  |  | $ 1,382.7 | 1,267.4 |  |  |  |  |  | $ 1,267.4 |
Total current assets |  |  |  |  |  |  | 4,114.6 | 4,417.9 |  |  |  |  |  | 4,417.9 |
Long-term net deferred tax asset |  |  |  |  |  |  | 111.5 |  |  |  |  |  |  |  |
Total assets |  |  |  |  |  |  | 6,721.8 | 6,891.6 |  |  |  |  |  | 6,891.6 |
Retained earnings |  |  |  |  |  |  | 3,110.6 | 3,129.3 |  |  |  |  |  | 3,129.3 |
Total shareholders' equity |  |  |  |  |  |  | 3,076.4 | 3,247.8 |  |  |  |  |  | 3,247.8 |
Total liabilities and shareholders' equity |  |  |  |  |  |  | 6,721.8 | 6,891.6 |  |  |  |  |  | 6,891.6 |
Deferred income taxes |  |  |  |  |  |  | (185.1) |  |  |  |  |  |  | 88.6 | $ 22.4
(Increase) decrease in inventories |  |  |  |  |  |  | 115.4 |  |  |  |  |  |  | (246.7) | 246.7
As Previously Reported | Other Long Term Liabilities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Long-term net deferred tax liability |  |  |  |  |  |  |  | 73.9 |  |  |  |  |  | 73.9 |
Adjustments |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  | (23.6) |  |  |  |  |  |  | (47.4) | 3.9
Gross income |  |  |  |  |  |  | 23.6 |  |  |  |  |  |  | 47.4 | (3.9)
Operating income |  |  |  |  |  |  | 23.6 |  |  |  |  |  |  | 47.4 | (3.9)
Income before income taxes and losses of unconsolidated affiliates |  |  |  |  |  |  | 23.6 |  |  |  |  |  |  | 47.4 | (3.9)
Provision for income taxes |  |  |  |  |  |  | 5.6 |  |  |  |  |  |  | 11.2 | (0.9)
Income before earnings (losses) of unconsolidated affiliates |  |  |  |  |  |  | 18.0 |  |  |  |  |  |  | 36.2 | (3.0)
Net income |  |  |  |  |  |  | $ 18.0 |  |  |  |  |  |  | $ 36.2 | $ (3.0)
Basic Earnings per share |  |  |  |  |  |  | $ 0.27 |  |  |  |  |  |  | $ 0.53 | $ (0.04)
Diluted Earnings per share |  |  |  |  |  |  | $ 0.27 |  |  |  |  |  |  | $ 0.52 | $ (0.05)
Inventories, net |  |  |  |  |  |  | $ 167.7 | 144.1 |  |  |  |  |  | $ 144.1 |
Total current assets |  |  |  |  |  |  | 167.7 | 144.1 |  |  |  |  |  | 144.1 |
Long-term net deferred tax asset |  |  |  |  |  |  | (39.8) |  |  |  |  |  |  |  |
Total assets |  |  |  |  |  |  | 127.9 | 144.1 |  |  |  |  |  | 144.1 |
Retained earnings |  |  |  |  |  |  | 127.9 | 109.9 |  |  |  |  |  | 109.9 |
Total shareholders' equity |  |  |  |  |  |  | 127.9 | 109.9 |  |  |  |  |  | 109.9 |
Total liabilities and shareholders' equity |  |  |  |  |  |  | 127.9 | 144.1 |  |  |  |  |  | 144.1 |
Deferred income taxes |  |  |  |  |  |  | 5.6 |  |  |  |  |  |  | 11.2 | $ (0.9)
(Increase) decrease in inventories |  |  |  |  |  |  | $ 23.6 |  |  |  |  |  |  | 47.4 | $ (3.9)
Adjustments | Other Long Term Liabilities |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Summary Of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Long-term net deferred tax liability |  |  |  |  |  |  |  | $ 34.2 |  |  |  |  |  | $ 34.2 |
[1] | The fourth quarter of fiscal 2022 was impacted by a $5.6 million ($4.3 million after-tax) intan gible asset impairment charge in the Defense segment and a $33.6 million ($25.7 million after-tax) pension settlement charge.
[2] | The third quarter of fiscal 2022 was impacted by expense of $4.6 million to eliminate cumulative translation adjustments upon liquidation of foreign entities in the Access Equipment segment and a $2.1 million intangible asset impairment charge in the Commercial segment.
[3] | The first quarter of fiscal 2022 was impacted by tax expense of $18.1 million for anti-hybrid tax on prior period income.
[4] | The fourth quarter of the year ended September 30, 2021 was impacted by a tax benefit of $11.7 million for the revaluation of deferred tax liabilities and a tax benefit of $5.4 million for net operating loss carrybacks.
[5] | The third quarter of the year ended September 30, 2021 was impacted a tax benefit of $69.9 million for net operating loss carrybacks and $1.3 million ($1.4 million after-tax) of restructuring-related costs in the Access Equipment segment.
[6] | The second quarter of the year ended September 30, 2021 was impacted by $2.2 million ($2.5 million after-tax) of restructuring-related costs in the Access Equipment segment.
[7] | The first quarter of the year ended September 30, 2021 was impacted by $8.0 million ($7.8 million after-tax) of restructuring-related costs in the Access Equipment segment.

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