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Employee and Director Stock Plans - Narrative (Detail) $ / shares in Units, $ in Millions |  | 12 Months Ended | 97 Months Ended
--- | --- | --- | ---
Mar. 12, 2015 shares | Jan. 31, 2020 USD ($) period Plan $ / shares shares | Jan. 31, 2019 USD ($) $ / shares shares | Jan. 31, 2018 USD ($) $ / shares | Jan. 31, 2020 USD ($) shares
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Number of active stock plans | Plan |  | 4 |  |  |
Number of additional share authorized (in shares) |  |  |  |  | 36,100,000
Grants in period, net of forfeitures (in shares) |  | 0 |  |  |
Shares available for future issuance (in shares) |  | 21,900,000 |  |  | 21,900,000
Options outstanding (in shares) |  | 400,000 | 800,000 |  | 400,000
Non-vested stock options compensation cost not yet recognized | $ |  | $ 30.4 |  |  | $ 30.4
Restricted stock granted (in shares) |  | 300,000 |  |  |
Liability classified awards, settled | $ |  | $ 23.5 |  |  |
Market capitalization level of peer group | $ |  | $ 2,000.0 |  |  | $ 2,000.0
Number of exercise periods | period |  | 4 |  |  |
Term of exercise period |  | 6 months |  |  |
Term of offering period |  | 24 months |  |  |
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) |  | 13,800,000 |  |  | 13,800,000
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) |  | 800,000 |  |  | 800,000
Reduction of shares reserved for issuance (in shares) | 900,000 |  |  |  |
2012 Outside Directors' Plan | Minimum |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 1 year |  |  |
2012 Outside Directors' Plan | Maximum |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 3 years |  |  |
PlanGrid 2012 Plan |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 4 years |  |  |
Share based payment award options expiration term (in years) |  | 10 years |  |  |
Options outstanding (in shares) |  | 300,000 |  |  | 300,000
BuildingConnected 2012 Plan |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 4 years |  |  |
Share based payment award options expiration term (in years) |  | 10 years |  |  |
Options outstanding (in shares) |  | 100,000 |  |  | 100,000
ESP Plan |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Shares available for future issuance (in shares) |  | 7,300,000 |  |  | 7,300,000
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 | $ |  | $ 33.3 | $ 27.2 | $ 25.7 |
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) |  | 50,600,000 |  |  |
Vesting period |  | 3 years |  |  |
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 |  | $ 156.24 | $ 144.37 | $ 106.55 |
Fair value of units vested in period | $ |  | $ 361.0 | $ 425.4 | $ 399.7 |
Restricted stock granted (in shares) |  | 3,136,100 |  |  |
Number of awards granted but unreleased |  | 4,732,300 | 4,287,400 |  | 4,732,300
Restricted Stock Units (RSUs) |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Total compensation cost related to non-vested awards not yet recognized, weighted average period of recognition (in years) |  | 1 year 10 months 24 days |  |  |
Restricted stock granted (in shares) |  | 2,600,000 |  |  |
Share based compensation expense, restricted stock units | $ |  | $ 274.5 | $ 189.3 | 202.1 |
Total compensation cost related to non-vested awards not yet recognized | $ |  | $ 474.6 |  |  | $ 474.6
Number of awards granted but unreleased |  | 4,100,000 |  |  | 4,100,000
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 |  |  |
Stock Option Plans |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Total compensation cost related to non-vested awards not yet recognized, weighted average period of recognition (in years) |  | 2 years |  |  |
Performance Stock Unit |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting period |  | 3 years |  |  |
Total compensation cost related to non-vested awards not yet recognized, weighted average period of recognition (in years) |  | 8 months 12 days |  |  |
Restricted stock granted (in shares) |  | 300,000 |  |  |
Share based compensation expense, restricted stock units | $ |  | $ 27.1 | $ 28.6 | $ 33.7 |
Total compensation cost related to non-vested awards not yet recognized | $ |  | $ 6.7 |  |  | $ 6.7
Number of awards granted but unreleased |  | 600,000 |  |  | 600,000
Performance Stock Unit | Year One |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |
Performance Stock Unit | Year Two |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |
Performance Stock Unit | Year Three |  |  |  |  |
Compensation Related Costs Share Based Payments Disclosure [Line Items] |  |  |  |  |
Vesting percentage (up to percentage) |  | 33.33% |  |  |

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