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ACQUISITIONS - Narrative (Details) $ in Thousands, € in Millions |  |  |  |  |  |  |  |  | 9 Months Ended | 12 Months Ended
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Feb. 01, 2018 USD ($) | Nov. 28, 2017 USD ($) | Mar. 01, 2017 USD ($) | Mar. 01, 2017 EUR (€) | Feb. 28, 2017 USD ($) | Jan. 13, 2017 USD ($) | Jan. 13, 2017 EUR (€) | Jan. 03, 2017 USD ($) | Jan. 03, 2017 EUR (€) | Nov. 30, 2016 USD ($) | Nov. 30, 2016 EUR (€) | Feb. 01, 2016 USD ($) | Jun. 30, 2018 USD ($) | Sep. 30, 2018 USD ($) | Sep. 30, 2017 USD ($) | Sep. 30, 2016 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 121,065 | $ 98,235 | $ 6,937
Goodwill |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 948,894 | $ 897,794 | $ 851,489
Star Granite Bronze International, Inc |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total purchase price of Star Granite and Bronze International, Inc. | $ 34,713 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business | 29,713 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued in business acquisition | 5,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Annual sales of business before acquisition | $ 31,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compass Engineering Group, Inc |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  | $ 51,887 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Annual sales of business before acquisition |  | $ 24,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  |  |  |  |  |  |  |  | $ 39,465 |  |  |
GJ Creative Limited |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  | $ 37,596 | € 30.5 |  |  |  |  |  |  |  |  |  |  |  |
Annual sales of business before acquisition |  |  | $ 30,000 |  |  |  |  |  |  |  |  |  |  |  |  |
RAF Technology, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  |  |  | $ 8,717 |  |  |  |  |  |  |  |  |  |  |
VCG (Holdings) Limited |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  |  |  |  | $ 10,695 | € 8.8 |  |  |  |  |  |  |  |  |
Ungricht |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  |  |  |  |  |  | $ 25,185 | € 24.0 |  |  |  |  |  |  |
Annual sales of business before acquisition |  |  |  |  |  |  |  | $ 35 |  |  |  |  |  |  |  |
Guidance Automation Limited |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  |  |  |  |  |  |  |  | $ 9,974 | € 8.0 |  |  |  |  |
Digital Design, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price of acquisition |  |  |  |  |  |  |  |  |  |  |  | $ 8,773 |  |  |  |

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