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Equity-Based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended 12 Months Ended
Jun. 03, 2019
Nov. 28, 2018
Jul. 02, 2018
Jun. 27, 2018
Sep. 30, 2017
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Oct. 22, 2018
Jun. 28, 2018
Dec. 31, 2016
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period 4 years                    
Shares issued to holders of units, weighted average exercise price   $ 13.49                  
Stock options weighted average grant date fair value $ 6.84 $ 5.85                  
Stock option vested and exercisable upon issuance           2,683,000          
Number of shares forfeited           8,000          
Remaining unvested stock option           130,000          
Stock options granted 138,000         1,291,000          
Stock options granted weighted average exercise price $ 16.86         $ 13.88          
Non-cash equity-based compensation expense over the requisite service period $ 0.9 $ 6.1                  
Equity-based compensation [1]         $ 3.8 $ 15.7 $ 28.8        
Unrecognized compensation cost         $ 17.9 $ 40.2 $ 48.6 $ 17.9      
Unrecognized compensation cost, weighted average recognition period         1 year 7 months 6 days 1 year 7 months 6 days 1 year 7 months 6 days        
IPO                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Equity-based compensation             $ 19.6        
IPO | First Anniversary of Grant Date                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period     4 years                
Stock options weighted average grant date fair value     $ 7.59                
Number of shares vested           101,000          
Remaining unvested stock option           302,000          
Stock options granted     403,000                
Stock options granted weighted average exercise price     $ 22.00                
Restricted Stock Units                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period 4 years                    
Units forfeiture           8,000          
Units outstanding 152,000                    
Number of outstanding shares subject to vesting           144,000          
Weighted average exercise price $ 16.86                    
Non-cash equity-based compensation expense over the requisite service period $ 2.4                    
Restricted Stock Awards                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period   4 years                  
Units forfeiture           91,000          
Number of outstanding shares subject to vesting           809,000 1,094,000        
Number of shares vested           194,000 252,000        
Share issued to holders of units   492,000                  
Shares issued to holders of units, weighted average exercise price   $ 13.49                  
Non-cash equity-based compensation expense over the requisite service period   $ 6.2                  
Restricted Stock Awards | Issued in November 28, 2018                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Units forfeiture           16,000          
Number of outstanding shares subject to vesting           475,000          
Number of shares vested           1,000          
Restricted Stock Awards | IPO                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Units forfeiture           247,000          
Number of outstanding shares subject to vesting           293,000 684,000        
Number of shares vested           144,000          
Restricted Stock Awards | IPO | First Anniversary of Grant Date                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period       3 years              
Units outstanding       684,000              
Weighted average exercise price       $ 22.00              
Stock Options                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period   4 years                  
Stock options issued to holders of units   1,123,000                  
Number of shares forfeited           62,000          
Remaining unvested stock option           1,061,000          
Class B Units                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Stock option vested and exercisable upon issuance             608,000        
Number of shares vested           404,000          
Number of shares forfeited           394,000          
Remaining unvested stock option           2,370,000          
Class B Units | IPO                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Shares issued to holders of units, weighted average exercise price       $ 22.00              
Stock options issued to holders of units       5,344,000              
Stock options weighted average grant date fair value       $ 7.38              
Stock option vested and exercisable upon issuance       1,567,000              
Class B Units | Restricted Stock Awards | IPO                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Units outstanding       7,585,000              
Units converted, weighted average grant date fair value       $ 14.66              
Number of outstanding shares subject to vesting       1,346,000              
Class B Units | Restricted Stock Awards | IPO | Common Stock                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Number of units converted       2,241,000              
The Plan | Class B Units                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Vesting period           5 years          
Percentage of vesting           50.00%          
The Plan | Class B Units | Restricted Stock Units                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Units granted             244,000 1,304,000      
Units redemption             165,000 155,000      
Units forfeiture             44,000 650,000      
Units outstanding         7,550,000   7,585,000 7,550,000     7,051,000
2018 Omnibus Incentive Plan                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Number of shares of common stock that may be issued                   11,650,000  
ESPP                      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]                      
Common stock shares available for sale                 1,100,000    
[1] Represents equity-based compensation expense recognized for equity incentive plans outstanding, including $19.6 related to the IPO in the fiscal year ended September 30, 2018.