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Acquisitions (Details) - USD ($) $ in Millions |  |  |  |  | 3 Months Ended | 6 Months Ended |
--- | --- | --- | --- | --- | --- | --- | ---
Dec. 02, 2019 | Oct. 25, 2019 | Aug. 31, 2018 | Jun. 07, 2018 | Nov. 30, 2019 | Dec. 01, 2018 | Nov. 30, 2019 | Dec. 01, 2018 | Jun. 01, 2019
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Payments to Acquire Intangible Assets |  |  |  |  |  |  | $ 0.0 | $ 4.8 |
Contingent Equity Method Purchase |  |  |  |  |  |  | 33.00% |  |
Gain on consolidation of equity method investment |  |  |  |  | $ 30.5 | $ 0.0 | $ 30.5 | $ 0.0 |
Indefinite-lived Intangible Assets Acquired |  |  |  |  |  |  | 4.4 |  |
Goodwill |  |  |  |  | $ 363.9 |  | $ 363.9 |  | $ 303.8
MAARS |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  | 48.20% |  |  |  |  |  |
Purchase price |  |  | $ 6.1 |  |  |  |  |  |
HAY |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  | 33.00% |  |  |  |  |
Purchase price |  |  |  | $ 65.5 |  |  |  |  |
Payments to Acquire Intangible Assets |  |  |  | $ 4.8 |  |  |  |  |
HAY | Subsequent Event |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired | 34.00% |  |  |  |  |  |  |  |
Purchase price | $ 79.0 |  |  |  |  |  |  |  |
naughtone |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  | 47.50% |  |  |  |  |  |  |
Purchase price |  | $ 45.9 |  |  |  |  |  |  |
Cash |  | 5.1 |  |  |  |  |  |  |
Working capital, net of cash and inventory step-up |  | 1.3 |  |  |  |  |  |  |
Net property and equipment |  | 0.8 |  |  |  |  |  |  |
Net assets acquired |  | 7.2 |  |  |  |  |  |  |
naughtone Equity Method Investment |  | 20.5 |  |  |  |  |  |  |
Finite and Indefinite-Lived Intangible Assets Aquired |  | 36.4 |  |  |  |  |  |  |
naughtone | North America Contract |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Goodwill |  | 32.7 |  |  |  |  |  |  |
naughtone | International Contract |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Goodwill |  | 27.3 |  |  |  |  |  |  |
naughtone | Tradename |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Indefinite-lived Intangible Assets Acquired |  | $ 4.4 |  |  |  |  |  |  |
naughtone | Inventory Step-up |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful Life (years) |  | 3 months 18 days |  |  |  |  |  |  |
Fair Value |  | $ 0.2 |  |  |  |  |  |  |
naughtone | Backlog |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful Life (years) |  | 3 months 18 days |  |  |  |  |  |  |
Fair Value |  | $ 0.8 |  |  |  |  |  |  |
naughtone | Customer Relationships [Member] |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful Life (years) |  | 10 years |  |  |  |  |  |  |
Fair Value |  | $ 31.0 |  |  |  |  |  |  |

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