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Stockholder's Equity - Summary of Stock Option Activity (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Options to Purchase Common Stock Exercised (124,455) (30,607)    
Montrose 2017 Stock Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Options to Purchase Common Stock Outstanding Beginning Balance 2,579,566 2,036,729 2,036,729  
Options to Purchase Common Stock Granted 233,955 547,884    
Options to Purchase Common Stock Forfeited/cancelled (34,619) (23,082)    
Options to Purchase Common Stock Exercised (101,279) (11,547)    
Options to Purchase Common Stock Outstanding Ending Balance 2,677,623 2,549,984 2,579,566 2,036,729
Options to Purchase Common Stock Exercisable 1,305,511      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]        
Weighted-Average Exercise Price per Share Outstanding Beginning Balance $ 31 $ 26 $ 26  
Weighted-Average Exercise Price per Share Granted 32 44    
Weighted-Average Exercise Price per Share Forfeited/cancelled 35 36    
Weighted-Average Exercise Price per Share Exercised 25 27    
Weighted-Average Exercise Price per Share Outstanding Ending Balance 31 30 31 $ 26
Weighted-Average Exercise Price per Share Exercisable 29      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Weighted Average Grant Date Fair Value per Share Outstanding Beginning Balance 15 14 14  
Weighted Average Grant Date Fair Value per Share Granted 14 16    
Weighted Average Grant Date Fair Value per Share Ending Balance $ 15 $ 14 $ 15 $ 14
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]        
Weighted Average Remaining Contract Life (in Years) Outstanding 7 years 9 months 10 days 8 years 5 months 15 days 7 years 9 months 3 days 8 years 3 months 18 days
Weighted Average Remaining Contract Life (in Years) Exercisable 7 years 2 months 8 days      
Aggregate Intrinsic Value of In-The-Money Options Outstanding $ 21,127 $ 59,955 $ 37,292 $ 91,030
Aggregate Intrinsic Value of In-The-Money Options Exercised 2,467 $ 313    
Aggregate Intrinsic Value of In-The-Money Options Exercisable $ 11,880      
Montrose Amended and Restated 2013 Stock Option Plan        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Options to Purchase Common Stock Outstanding Beginning Balance 855,695 897,674 897,674  
Options to Purchase Common Stock Exercised (23,176) (19,060)    
Options to Purchase Common Stock Outstanding Ending Balance 832,519 878,614 855,695 897,674
Options to Purchase Common Stock Exercisable 832,519      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]        
Weighted-Average Exercise Price per Share Outstanding Beginning Balance $ 6 $ 6 $ 6  
Weighted-Average Exercise Price per Share Exercised 9 6    
Weighted-Average Exercise Price per Share Outstanding Ending Balance 6 6 6 $ 6
Weighted-Average Exercise Price per Share Exercisable 6      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Weighted Average Grant Date Fair Value per Share Outstanding Beginning Balance 2 2 2  
Weighted Average Grant Date Fair Value per Share Ending Balance $ 2 $ 2 $ 2 $ 2
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]        
Weighted Average Remaining Contract Life (in Years) Outstanding 3 years 10 days 4 years 1 month 17 days 3 years 3 months 21 days 4 years 4 months 13 days
Weighted Average Remaining Contract Life (in Years) Exercisable 3 years 10 days      
Aggregate Intrinsic Value of In-The-Money Options Outstanding $ 24,393 $ 40,860 $ 32,478 $ 57,529
Aggregate Intrinsic Value of In-The-Money Options Exercised 963 $ 821    
Aggregate Intrinsic Value of In-The-Money Options Exercisable $ 24,393