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Equity and Other Comprehensive Income (Loss) - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
May 04, 2022
Sep. 30, 2021
Jul. 31, 2015
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Stock repurchase program, number of shares authorized to be repurchased         40,000,000.0
Common Stock, Par or Stated Value Per Share $ 0.01     $ 0.01 $ 0.01
Authorized share repurchase as a percentage of common stock outstanding         15.00%
Stock repurchase program, remaining number of shares authorized to be repurchased 9,400,000        
Treasury stock, shares, acquired 7,200,000 0      
Purchases of common stock $ 332.1        
Subsequent Event [Member]          
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Stock repurchase program, number of shares authorized to be repurchased     25,000,000.0    
Authorized share repurchase as a percentage of common stock outstanding     10.00%    
Minimum [Member]          
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Effective Tax Rate, Net of Tax Components of Other Comprehensive Income 25.00% 24.00%      
Maximum [Member]          
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Effective Tax Rate, Net of Tax Components of Other Comprehensive Income 26.00% 25.00%