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Equity and Other Comprehensive Income (Loss) - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Sep. 30, 2022
May 04, 2022
Jul. 31, 2015
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Stock repurchase program, number of shares authorized to be repurchased       25,000,000.0 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       10.00% 15.00%
Stock repurchase program, remaining number of shares authorized to be repurchased 29,000,000.0        
Treasury stock, shares, acquired 0 7,200,000      
Purchases of common stock   $ 332.1      
Minimum [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%      
Maximum [Member]          
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]          
Effective Tax Rate, Net of Tax Components of Other Comprehensive Income 27.00% 26.00%