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Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) by Component (Details) - USD ($) $ in Millions |  |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
Oct. 01, 2019 | Oct. 01, 2018 | Mar. 31, 2020 | Mar. 31, 2019 | Mar. 31, 2020 | Mar. 31, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
Balance at beginning of period | $ 2,599.8 |  |  |  | $ 2,599.8 |
Total other comprehensive income (loss), net of tax |  |  | $ (27.0) | $ (10.9) | (7.3) | $ (19.7)
Balance at end of period |  |  | 2,689.0 |  | 2,689.0 |
Employee Pension and Postretirement Benefits, Net of Tax |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
Balance at beginning of period | (69.4) | $ (10.9) | (68.7) | (20.0) | (69.4) | (10.9)
Other comprehensive income (loss) before reclassifications |  |  |  | (3.9) |  | (3.9)
Amounts reclassified from accumulated other comprehensive income (loss) |  |  | 0.7 | 0.1 | 1.4 | 0.1
Total other comprehensive income (loss), net of tax |  |  | 0.7 | (3.8) | 1.4 | (3.8)
Balance at end of period | (20.0) |  | (68.0) | (23.8) | (68.0) | (23.8)
Employee Pension and Postretirement Benefits, Net of Tax | Accounting Standards Update 2018-02 |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification | (9.1) |  |  |  |  |
Cumulative Translation Adjustments |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
Balance at beginning of period | (132.5) | (96.2) | (113.0) | (105.0) | (132.5) | (96.2)
Other comprehensive income (loss) before reclassifications |  |  | (28.4) | (6.9) | (8.9) | (15.7)
Total other comprehensive income (loss), net of tax |  |  | (28.4) | (6.9) | (8.9) | (15.7)
Balance at end of period | (96.2) |  | (141.4) | (111.9) | (141.4) | (111.9)
Derivative Instruments |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
Balance at beginning of period | 0.3 | 0.3 | (0.2) | 0.3 | 0.3 | 0.3
Other comprehensive income (loss) before reclassifications |  |  | 0.7 | (0.2) | 0.2 | (0.2)
Total other comprehensive income (loss), net of tax |  |  | 0.7 | (0.2) | 0.2 | (0.2)
Balance at end of period | 0.3 |  | 0.5 | 0.1 | 0.5 | 0.1
Accumulated Other Comprehensive Income (Loss) |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
Balance at beginning of period | (201.6) | (106.8) | (181.9) | (124.7) | (201.6) | (106.8)
Other comprehensive income (loss) before reclassifications |  |  | (27.7) | (11.0) | (8.7) | (19.8)
Amounts reclassified from accumulated other comprehensive income (loss) |  |  | 0.7 | 0.1 | 1.4 | 0.1
Total other comprehensive income (loss), net of tax |  |  | (27.0) | (10.9) | (7.3) | (19.7)
Balance at end of period | (115.9) |  | $ (208.9) | $ (135.6) | $ (208.9) | $ (135.6)
Accumulated Other Comprehensive Income (Loss) | Accounting Standards Update 2018-02 |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Roll Forward] |  |  |  |  |  |
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification | $ (9.1) | $ (9.1) |  |  |  |

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