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Employee and Director Stock Plans - Stock-Based Compensation Expense - Additional Information (Detail) $ / shares in Units, $ in Millions |  | 12 Months Ended | 73 Months Ended
--- | --- | --- | ---
Mar. 12, 2015 shares | Jan. 31, 2018 USD ($) period Plan $ / shares shares | Jan. 31, 2017 USD ($) $ / shares shares | Jan. 31, 2016 USD ($) $ / shares | Jan. 31, 2018 shares
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Number of active stock plans | Plan |  | 2 |  |  |
Number of additional share authorized (in shares) |  |  |  |  | 36,100,000
Shares available for future issuance (in shares) |  | 31,300,000 |  |  | 31,300,000
Employee Stock Plan 2012 |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Shares of common stock reserved for issuance (in shares) |  | 57,300,000 |  |  | 57,300,000
Restricted stock award, net of forfeitures (in shares) |  | 51,300,000 |  |  |
Shares forfeited (in shares) |  | 6,000,000.0 |  |  |
Shares granted to shares issued (in shares) |  | 1.79 |  |  |
Shares available for future issuance (in shares) |  | 21,300,000 |  |  | 21,300,000
Directors stock plan 2012 |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Shares of common stock reserved for issuance (in shares) |  | 1,700,000 |  |  | 1,700,000
Shares granted to shares issued (in shares) |  | 2.11 |  |  |
Shares available for future issuance (in shares) |  | 900,000 |  |  | 900,000
Reduction of shares reserved for issuance (in shares) | 900,000 |  |  |  |
Outside directors stock plan 2012 | Minimum |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 1 year |  |  |
Outside directors stock plan 2012 | Maximum |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 3 years |  |  |
ESP Plan |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Shares available for future issuance (in shares) |  | 9,100,000 |  |  | 9,100,000
Percentage of compensation that eligible employees can use to purchase common stock, maximum |  | 15.00% |  |  |
Percentage of fair market value eligible employees can purchase common stock, minimum |  | 85.00% |  |  |
Number of exercise periods | period |  | 4 |  |  |
Term of exercise period |  | 6 months |  |  |
Term of offering period |  | 24 months |  |  |
Employee service share based compensation recognized compensation costs on nonvested restricted shares | $ |  | $ 25.7 | $ 25.9 | $ 27.1 |
Stock Options and Restricted Stock | Employee Stock Plan 2012 |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Grants in period, net of forfeitures (in shares) |  | 41,100,000 |  |  |
Share based payment award options expiration term (in years) |  | 10 years |  |  |
Restricted Stock Units (RSUs) and Performance Stock Units (PSUs) |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Granted (in dollars per share) | $ / shares |  | $ 106.55 | $ 65.95 | $ 52.53 |
Fair value of units vested in period | $ |  | $ 399.7 | $ 232.2 | $ 193.3 |
Restricted stock granted (in shares) |  | 2,481,800 |  |  |
Number of awards granted but unreleased |  | 5,670,700 | 7,622,400 |  | 5,670,700
Restricted Stock Units (RSUs) |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Restricted stock granted (in shares) |  | 2,200,000 |  |  |
Share based compensation expense, restricted stock units | $ |  | $ 202.1 | $ 173.0 | 146.4 |
Total compensation cost related to non-vested awards not yet recognized | $ |  | $ 310.2 |  |  |
Total compensation cost related to non-vested awards not yet recognized, weighted average period of recognition (in years) |  | 1 year 7 months 24 days |  |  |
Number of awards granted but unreleased |  | 5,100,000 |  |  | 5,100,000
Restricted Stock Units (RSUs) | Maximum |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 3 years |  |  |
Restricted Stock Units (RSUs) | Directors stock plan 2012 |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Grants in period, net of forfeitures (in shares) |  | 900,000 |  |  |
Performance Stock Units (PSUs) |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 3 years |  |  |
Restricted stock granted (in shares) |  | 300,000 |  |  |
Share based compensation expense, restricted stock units | $ |  | $ 33.7 | $ 22.9 | $ 23.2 |
Total compensation cost related to non-vested awards not yet recognized | $ |  | $ 6.8 |  |  |
Total compensation cost related to non-vested awards not yet recognized, weighted average period of recognition (in years) |  | 9 months 3 days |  |  |
Number of awards granted but unreleased |  | 600,000 |  |  | 600,000
Performance Stock Units (PSUs) | Year One |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |
Performance Stock Units (PSUs) | Year Two |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |
Performance Stock Units (PSUs) | Year Three |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |
Chief Executive Officer | Performance Stock Units (PSUs) |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Accelerated stock based compensation costs | $ |  | $ 7.3 |  |  |

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