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Stockholder's Equity - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2022
Class Of Stock [Line Items]            
Common stock, shares authorized 190,000,000   190,000,000     190,000,000
Common stock, par value $ 0.000004   $ 0.000004     $ 0.000004
Total unrecognized stock-based compensation expense related to unvested options, restricted stock and stock appreciation rights granted under the Plans $ 132.8 $ 152.5 $ 132.8 $ 152.5    
Unrecognized expense expected to be recognized period     3 years      
Shares, granted [1]     90,116 25,289    
Restricted shares outstanding 2,786,961 2,064,197 2,786,961 2,064,197    
Montrose 2017 Stock Incentive Plan            
Class Of Stock [Line Items]            
Shares, granted 90,384   343,971 0    
Montrose 2017 Stock Incentive Plan | Restricted Stock            
Class Of Stock [Line Items]            
Shares RSAs granted 0 0 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 1,527,913 1,271,383 1,527,913 1,271,383    
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 2 months 15 days      
Supplemental Incentive Plans            
Class Of Stock [Line Items]            
Shares, granted   0 370,349 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.