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Share Based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended 12 Months Ended
Nov. 21, 2020
Nov. 21, 2019
Jul. 13, 2018
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Common Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, right to purchase           700,000
Annual Management Incentive Compensation Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total share based compensation expense       $ 16.9 $ 9.5 $ 13.8
HRG Equity Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, available for issuance       1,400,000    
HRG Equity Plan [Member] | HRG [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Remaining unrecognized pre-tax compensation cost       $ 0.0    
HRG Equity Plan [Member] | Common Stock [Member] | HRG [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorized issuance shares       24,000,000    
HRG Warrant Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, outstanding       0    
HRG Warrant Plan [Member] | Common Stock [Member] | Former Chief Executive Officer [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, right to purchase       3,000,000    
Exercise price per share       $ 13.125    
Shares, vested       600,000    
Vesting period       4 years    
Estimated grant date fair value       $ 9.6    
Spectrum Equity Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, available for issuance       600,000    
Restricted Stock Units [Member] | Specturm And SB/RH [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Remaining unrecognized pre-tax compensation cost       $ 41.6    
Restricted Stock Units [Member] | HRG [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, right to purchase         100,000
Restricted Stock Units [Member] | Long-Term Incentive Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period       3 years    
Restricted Stock Units [Member] | Long-Term Incentive Plan [Member] | Performance [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Time-based service conditions pecentage       70.00%    
Restricted Stock Units [Member] | Long-Term Incentive Plan [Member] | Service [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Time-based service conditions pecentage       30.00%    
Restricted Stock Units [Member] | Bridge Awards [Member] | Performance [Member] | Forecast [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Time-based service conditions pecentage 60.00% 60.00%        
Restricted Stock Units [Member] | Bridge Awards [Member] | Service [Member] | Forecast [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Time-based service conditions pecentage 40.00% 40.00%        
Stock Options [Member] | HRG [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, right to purchase     2,500,000     500,000
Exercise price per share         $ 15.39
Total fair value vested       $ 0.2 0.8  
Intrinsic value of options exercised         21.5  
Cash settlement         $ 19.9  
Shares, vested and exercisable       200,000    
Weighted average exercise price of vested and exercisable       $ 73.51    
Maximum [Member] | Spectrum Equity Plan [Member] | Common Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorized issuance shares       7,100,000