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Goodwill and Purchased Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($) |  | 3 Months Ended | 12 Months Ended
--- | --- | --- | ---
Oct. 01, 2022 | Sep. 30, 2022 | Dec. 31, 2021 | Dec. 31, 2022 | Sep. 30, 2021
Changes in goodwill |  |  |  |  |
Net goodwill at the beginning of the period |  |  | $ 1,052,000,000.0 | $ 1,049,000,000.0 | $ 1,009,500,000
Foreign currency translation |  |  | (3,000,000.0) | (12,300,000) | (1,900,000)
Acquisition |  |  |  | 7,400,000 | 44,400,000
Impairment | $ 0 | $ 2,100,000 |  | 2,100,000 |
Net goodwill at the end of the period |  |  | 1,049,000,000.0 | 1,042,000,000.0 | 1,052,000,000.0
Access Equipment |  |  |  |  |
Changes in goodwill |  |  |  |  |
Net goodwill at the beginning of the period |  |  | 880,600,000 | 877,600,000 | 882,600,000
Foreign currency translation |  |  | (3,000,000.0) | (11,800,000) | (2,000,000.0)
Net goodwill at the end of the period |  |  | 877,600,000 | 865,800,000 | 880,600,000
Defense |  |  |  |  |
Changes in goodwill |  |  |  |  |
Net goodwill at the beginning of the period |  |  | 44,400,000 | 44,400,000 |
Acquisition |  |  |  |  | 44,400,000
Net goodwill at the end of the period |  |  | 44,400,000 | 44,400,000 | 44,400,000
Fire & Emergency |  |  |  |  |
Changes in goodwill |  |  |  |  |
Net goodwill at the beginning of the period |  |  | 106,100,000 | 106,100,000 | 106,100,000
Foreign currency translation |  |  |  | (300,000) |
Acquisition |  |  |  | 7,400,000 |
Net goodwill at the end of the period |  |  | 106,100,000 | 113,200,000 | 106,100,000
Commercial |  |  |  |  |
Changes in goodwill |  |  |  |  |
Net goodwill at the beginning of the period |  |  | 20,900,000 | 20,900,000 | 20,800,000
Foreign currency translation |  |  |  | (200,000) | 100,000
Impairment |  |  |  | (2,100,000) |
Net goodwill at the end of the period |  |  | $ 20,900,000 | $ 18,600,000 | $ 20,900,000

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