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Employee and Director Stock Plans - Narrative (Detail)
$ / shares in Units, $ in Millions
12 Months Ended 85 Months Ended
Mar. 12, 2015
shares
Jan. 31, 2019
USD ($)
period
Plan
$ / shares
shares
Jan. 31, 2018
USD ($)
$ / shares
shares
Jan. 31, 2017
USD ($)
$ / shares
Jan. 31, 2019
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)   27,600,000     27,600,000
Options outstanding (in shares)   817,100 200,000   817,100
Non-vested stock options compensation cost not yet recognized | $   $ 66.5     $ 66.5
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)   18,600,000     18,600,000
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)   600,000     600,000
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)   8,100,000     8,100,000
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 | $   $ 27.2 $ 25.7 $ 25.9  
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)   45,000,000.0      
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   $ 144.37 $ 106.55 $ 65.95  
Fair value of units vested in period | $   $ 425.4 $ 399.7 $ 232.2  
Restricted stock granted (in shares)   2,250,700      
Number of awards granted but unreleased   4,287,400 5,670,700   4,287,400
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 9 months 3 days      
Restricted stock granted (in shares)   2,100,000      
Share based compensation expense, restricted stock units | $   $ 189.3 $ 202.1 173.0  
Total compensation cost related to non-vested awards not yet recognized | $   $ 364.5     $ 364.5
Number of awards granted but unreleased   3,900,000     3,900,000
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 9 months 18 days      
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)   9 months 21 days      
Restricted stock granted (in shares)   200,000      
Share based compensation expense, restricted stock units | $   $ 28.6 $ 33.7 $ 22.9  
Total compensation cost related to non-vested awards not yet recognized | $   $ 5.6     $ 5.6
Number of awards granted but unreleased   400,000     400,000
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%