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Convertible Senior Notes, Net (Detail) $ / shares in Units, shares in Millions	3 Months Ended		9 Months Ended
	Oct. 31, 2018 USD ($) $ / shares shares	Oct. 31, 2017 USD ($)	Oct. 31, 2018 USD ($) day trading_day $ / shares shares	Oct. 31, 2017 USD ($)	Jan. 31, 2018 USD ($)	Sep. 30, 2017 USD ($)	Jun. 30, 2013 USD ($)
Debt Instrument [Line Items]
Threshold consecutive trading days | trading_day			30
Number of days out of 30 that common stock price exceeded conversion price (in days) | day			20
Capitalized interest costs	$ 3,000,000	$ 3,000,000	$ 7,000,000	$ 6,000,000
Proceeds from sale of warrants	$ 0	80,805,000	$ 0	80,805,000
2018 Notes
Debt Instrument [Line Items]
Contractual interest rate	0.75%		0.75%				0.75%
Convertible senior notes, principal amount	$ 0		$ 0		$ 350,000,000		$ 350,000,000
Repayments of debt	350,000,000
Liability issuance costs		7,000,000		7,000,000
Equity issuance costs		2,000,000	2,000,000
Amortization expense for liability issuance costs	$ 0	352,000	$ 641,000	1,056,000
Effective interest rates of the liability components	5.75%		5.75%
2020 Notes
Debt Instrument [Line Items]
Contractual interest rate	1.50%		1.50%				1.50%
Convertible senior notes, principal amount	$ 249,997,000		$ 249,997,000		$ 250,000,000		$ 250,000,000
Threshold percentage of conversion price			130.00%
Liability issuance costs	5,000,000		$ 5,000,000
Equity issuance costs			2,000,000
Amortization expense for liability issuance costs	$ 167,000	168,000	$ 504,000	503,000
Remaining life of the Notes			20 months
Effective interest rates of the liability components	6.25%		6.25%
2022 Notes
Debt Instrument [Line Items]
Contractual interest rate	0.25%		0.25%			0.25%
Convertible senior notes, principal amount						$ 1,150,000,000.00
Liability issuance costs	$ 14,000,000		$ 14,000,000
Equity issuance costs			4,000,000
Amortization expense for liability issuance costs	$ 714,000	$ 365,000	$ 2,143,000	$ 365,000
Remaining life of the Notes			47 months
Effective interest rates of the liability components	4.60%		4.60%
Aggregate amount for purchased options	$ 176,000,000		$ 176,000,000
Proceeds from sale of warrants			$ 81,000,000
Shares related to the convertible senior notes
Debt Instrument [Line Items]
Repurchase of notes percentage			100.00%
2018 and 2020 Notes
Debt Instrument [Line Items]
Aggregate amount for purchased options	144,000,000		$ 144,000,000
Proceeds from sale of warrants			93,000,000
Warrants expires in October 2018
Debt Instrument [Line Items]
Aggregate amount for purchased options	$ 3,500,000		$ 3,500,000
Shares covered by each purchased options or warrants (in shares) | shares	4.2		4.2
Number of trading days over			60 days
Exercise price of warrants (in dollars per share) | $ / shares	$ 107.96		$ 107.96
Warrants expires in October 2020
Debt Instrument [Line Items]
Shares covered by each purchased options or warrants (in shares) | shares	3.1		3.1
Number of trading days over			60 days
Exercise price of warrants (in dollars per share) | $ / shares	$ 107.96		$ 107.96
Warrants Expires In January 2023
Debt Instrument [Line Items]
Shares covered by each purchased options or warrants (in shares) | shares	7.8		7.8
Number of trading days over			60 days
Exercise price of warrants (in dollars per share) | $ / shares	$ 213.96		$ 213.96
Class A | 2018 Notes
Debt Instrument [Line Items]
Shares issued (in shares) | shares	1.5
Initial conversion price (in dollars per share) | $ / shares	$ 83.28		$ 83.28
Debt conversion, shares issued | shares	1.5		4.2
Class A | 2020 Notes
Debt Instrument [Line Items]
Initial conversion rate			12.2340
Principal amount converted into Class A Common Stock			$ 1,000
Initial conversion price (in dollars per share) | $ / shares	$ 81.74		$ 81.74
Debt conversion, shares issued | shares			3.1
Class A | 2022 Notes
Debt Instrument [Line Items]
Initial conversion rate			6.7982
Principal amount converted into Class A Common Stock			$ 1,000
Initial conversion price (in dollars per share) | $ / shares	$ 147.10		$ 147.10
Debt conversion, shares issued | shares			7.8
Class A | Warrants expires in October 2018
Debt Instrument [Line Items]
Shares issued (in shares) | shares	0.1
Debt Conversion, Option One | Shares related to the convertible senior notes
Debt Instrument [Line Items]
Threshold trading days (in trading days) | trading_day			20
Threshold consecutive trading days | trading_day			30
Threshold percentage of conversion price			130.00%
Debt Conversion, Option Two | Shares related to the convertible senior notes
Debt Instrument [Line Items]
Threshold trading days (in trading days) | trading_day			5
Debt Conversion, Option Two | Shares related to the convertible senior notes | Maximum
Debt Instrument [Line Items]
Threshold percentage of conversion price			98.00%

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