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Stockholder's Equity - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2021
Dec. 31, 2022
Class Of Stock [Line Items]        
Common stock, shares authorized 190,000,000     190,000,000
Common stock, par value $ 0.000004     $ 0.000004
Total unrecognized stock compensation expense related to unvested options, restricted stock and stock appreciation rights granted under the Plans $ 146.6 $ 173.1    
Unrecognized expense expected to be recognized period 4 years      
Restricted shares became fully vested and released as common stock 90,116 25,289    
Shares, granted [1] 90,116 25,289    
Restricted shares outstanding 2,528,383 2,064,197    
Montrose 2017 Stock Incentive Plan        
Class Of Stock [Line Items]        
Shares, granted 200,423      
Restricted shares forfeited 0 0    
Montrose 2017 Stock Incentive Plan | Restricted Stock        
Class Of Stock [Line Items]        
Shares RSAs granted 17,346 10,920    
Montrose 2017 Stock Incentive Plan | Stock Options | Board of Directors        
Class Of Stock [Line Items]        
Shares of vested over period 4 years      
Montrose 2017 Stock Incentive Plan | Stock Options | Executive Officers        
Class Of Stock [Line Items]        
Shares of vested over period 3 years      
Vesting frequency of period 1 year      
Montrose 2017 Stock Incentive Plan | Stock Options | On the two-year anniversary of the grant | Board of Directors        
Class Of Stock [Line Items]        
Shares, vesting rights, percentage 50.00%      
Montrose 2017 Stock Incentive Plan | Stock Options | Fourth Anniversary | Board of Directors        
Class Of Stock [Line Items]        
Shares, vesting rights, percentage 50.00%      
Montrose Amended and Restated 2013 Stock Option Plan        
Class Of Stock [Line Items]        
Shares outstanding from exercised options 1,434,885 1,239,697    
Two Thousand Seventeen Plan | Stock Appreciation Rights (SARs)        
Class Of Stock [Line Items]        
Shares, granted 3,000,000      
Exercise price     $ 66.79  
Shares of vested over period     5 years  
Remaining contractual terms 10 years      
Fair value vested in period $ 46.0      
Weighted average remaining contract life 8 years 8 months 15 days      
Supplemental Incentive Plans        
Class Of Stock [Line Items]        
Shares, granted 246,417 95,404    
Supplemental Incentive Plans | RSUs        
Class Of Stock [Line Items]        
Shares of vested over period 4 years      
Supplemental Incentive Plans | RSUs | First Quater        
Class Of Stock [Line Items]        
Shares, vesting rights, percentage 33.33%      
Supplemental Incentive Plans | RSUs | First Anniversary        
Class Of Stock [Line Items]        
Shares, vesting rights, percentage 33.33%      
Supplemental Incentive Plans | RSUs | Second Anniversary        
Class Of Stock [Line Items]        
Shares, vesting rights, percentage 33.33%      
[1] Represents the non-cash release of common shares due to the vesting of restricted stock.