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Segment Information, Reconciliation of GAAP Net Income to Non-GAAP EBITDA and Adjusted EBITDA (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Apr. 30, 2020
Jan. 31, 2020
Oct. 31, 2019
Jul. 31, 2019
Apr. 30, 2019
Jan. 31, 2019
Oct. 31, 2018
Jul. 31, 2018
Apr. 30, 2020
Apr. 30, 2019
Apr. 30, 2018
Reconciliation of GAAP Net Income to Non-GAAP EBITDA and Adjusted EBITDA [Abstract]                      
Net (Loss) Income $ (158,000) $ 35,400 $ 44,700 $ 3,600 $ 63,300 $ 34,900 $ 43,800 $ 26,300 $ (74,287) $ 168,263 $ 192,186
Interest expense                 24,959 16,121 13,274
Provision for income taxes                 11,195 44,689 21,745
Depreciation and amortization                 175,127 161,155 153,989
Non-GAAP EBITDA                 136,994 390,228 381,194
Impairment of goodwill and intangible assets                 202,348 0 3,600
Restructuring and related charges                 32,607 3,118 28,566
Foreign exchange transaction (gains) losses                 (2,773) 6,016 12,819
Interest and other income                 (13,381) (11,100) (8,563)
Non-GAAP Adjusted EBITDA [1]                 $ 355,795 $ 388,262 $ 417,616
[1] Adjusted EBITDA is Adjusted Contribution to Profit with depreciation and amortization added back.