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Business Combinations and Asset Acquisitions - Narrative (Details) - USD ($) |  |  | 3 Months Ended | 7 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Mar. 02, 2020 | Apr. 01, 2019 | Jan. 29, 2021 | Jul. 31, 2020 | May 01, 2020 | Oct. 31, 2019 | Oct. 31, 2021 | Oct. 31, 2020 | Oct. 31, 2019 | Mar. 31, 2019
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Business combination, consideration transferred, holdback |  |  |  |  |  |  | $ 24,900,000 |  |  |
Business combination, consideration transferred, holdback expired |  |  |  | $ 4,500,000 |  |  |  |  |  |
Purchase price allocation adjustment |  |  |  |  |  |  | (1,027,000) | $ (866,000) |  |
Goodwill |  |  |  |  |  | $ 362,253,000 | $ 421,680,000 | $ 424,075,000 | $ 362,253,000 |
Estimated useful life |  |  |  |  |  |  | 14 years 7 months 6 days | 15 years 6 months |  |
$200 million and $300 million term loans | $500.0 million term loan |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Aggregate principal amount of notes issued |  |  |  |  |  |  |  |  |  | $ 500,000,000
Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  | 15 years 4 months 24 days | 15 years 4 months 24 days |  |
Developed technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  | 7 years | 7 years 7 months 6 days |  |
Venture Products, Inc Affiliate |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to acquire businesses, gross | $ 136,400,000 |  |  |  |  |  |  |  |  |
Business combination, consideration transferred, holdback | 29,500,000 |  |  |  |  |  |  |  |  |
Total purchase price | 163,225,000 |  |  | $ 163,200,000 |  |  |  |  |  |
Business combination, acquisition related costs |  |  |  |  |  |  |  | $ 600,000 |  |
Business acquisition, goodwill, expected tax deductible amount |  |  |  |  |  |  | $ 0 |  |  |
Purchase price allocation adjustment |  |  | $ (1,000,000) |  |  |  |  |  |  |
Goodwill | 61,225,000 |  |  |  |  |  |  |  |  |
Other intangible assets | $ 75,300,000 |  |  |  |  |  |  |  |  |
Estimated useful life | 16 years |  |  |  |  |  |  |  |  |
Venture Products, Inc Affiliate | Professional |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | $ 412,100,000 |  |
Venture Products, Inc Affiliate | Previously Reported |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Preliminary purchase price | $ 165,900,000 |  |  |  |  |  |  |  |  |
Charles Machine Works, Inc |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Total purchase price |  | $ 684,973,000 |  |  |  | 685,000,000 |  |  |  |
Business combination, acquisition related costs |  |  |  |  |  |  |  |  | 10,200,000 |
Business acquisition, goodwill, expected tax deductible amount |  |  |  |  |  |  | $ 0 |  |  |
Purchase price allocation adjustment |  |  |  |  | $ (900,000) |  |  |  |  |
Goodwill |  | 134,657,000 |  |  |  |  |  |  |  |
Other intangible assets |  | $ 264,200,000 |  |  |  |  |  |  |  |
Estimated useful life |  | 16 years 7 months 6 days |  |  |  |  |  |  |  |
Charles Machine Works, Inc | Professional |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  | $ 350,300,000 |  |  | $ 350,300,000 |
Charles Machine Works, Inc | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  | 20 years |  |  |  |  |  |  |  |
Charles Machine Works, Inc | Customer-related |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  | 18 years 3 months 18 days |  |  |  |  |  |  |  |
Charles Machine Works, Inc | Developed technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  | 7 years 9 months 18 days |  |  |  |  |  |  |  |
Charles Machine Works, Inc | Backlog |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  | 6 months |  |  |  |  |  |  |  |
Charles Machine Works, Inc | Previously Reported |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Preliminary purchase price |  | $ 679,300,000 |  |  |  |  |  |  |  |

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