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Stockholders' Equity and Stock-Based Compensation - Additional Information (Details) - USD ($)									1 Months Ended		12 Months Ended
	Dec. 23, 2024	Nov. 20, 2024	Nov. 18, 2024	Sep. 12, 2024	Feb. 27, 2024	Nov. 17, 2023	Dec. 08, 2022	Sep. 22, 2022	Dec. 31, 2013	Mar. 31, 2012	Sep. 27, 2025	Sep. 28, 2024	Sep. 30, 2023	Nov. 19, 2024	Nov. 15, 2023	Nov. 06, 2023	Dec. 09, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Period available for common stock to be repurchased								5 years
Authorized value of common shares to be repurchased								$ 1,000,000,000						$ 250,000,000			$ 1,000,000,000
Shares repurchased (in shares)											2,400,000	4,200,000	6,800,000
Common stock repurchases											$ 190,300,000	$ 308,300,000	$ 501,600,000
Share repurchase tax											$ 6,800,000	7,200,000	2,900,000
Accelerated share repurchase agreement																$ 500,000,000
Accelerated Share Repurchases, Settlement (Payment) or Receipt						$ 500,000,000									$ 500,000,000
Repurchase of common stock (in shares)	800,000	2,500,000
Percentage of share repurchase program			80.00%			80.00%
Stock-based compensation, period of vest term granted to employees, years											3 years
Tax benefit related to stock based compensation											$ 12,300,000	11,400,000	10,700,000
Intrinsic value of option exercised											$ 9,500,000	15,500,000	18,400,000
Granted											900,000
Granted											$ 78.91
Minimum eligible percentage to receive target number of shares of company's common stock											0.00%
Maximum eligible percentage to receive target number of shares of company's common stock											200.00%
Cliff vesting period from grant date											3 years
Stock-based compensation expense											$ 84,300,000	82,300,000	79,600,000
Percentage of award vested upon meeting defined market based criteria									33.33%
Treasury stock, acquired		$ 250,000,000
November 15, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Repurchase of common stock (in shares)					1,400,000	5,600,000
September 12, 2024 share repurchase program
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Period available for common stock to be repurchased				5 years
Authorized value of common shares to be repurchased				$ 1,500,000,000
Remaining authorized, number of shares											937,500,000
September 12, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares repurchased (in shares)											4,700,000
Stock repurchased during period											$ 312,600,000
Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Percentage of forfeiture rates											0.00%
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Percentage of forfeiture rates											6.00%
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense											$ 13,600,000	14,000,000.0	14,200,000
Unrecognized compensation expense											$ 9,400,000
Weighted average period of unrecognized stock-based compensation, years											2 years 4 months 24 days
Stock Options | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											4 years
Percentage of vesting for stock options granted to employees											25.00%
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											3 years
Percentage of vesting for RSUs granted to employees											33.00%
Stock-based compensation expense											$ 64,400,000	61,100,000	58,500,000
Unrecognized compensation expense											$ 45,100,000
Weighted average period of unrecognized stock-based compensation, years											1 year 9 months 18 days
Fair value of RSUs vested											$ 56,700,000	$ 51,500,000	$ 48,400,000
Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted											700,000	700,000	700,000
Granted											$ 78.30	$ 72.35	$ 74.59
Performance Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted											100,000	100,000	100,000
Vested, weighted average grant date fair value (in usd per share)											$ 79.01	$ 71.94	$ 74.35
PSU Free Cash Flow
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											3 years
Granted											100,000	100,000	100,000
Minimum eligible percentage to receive target number of shares of company's common stock											0.00%
Maximum eligible percentage to receive target number of shares of company's common stock											200.00%
PSU Free Cash Flow | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											1 year
PSU Free Cash Flow | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											3 years
Market Based Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation, period of vest term granted to employees, years											3 years
Granted											100,000	100,000	100,000
Minimum eligible percentage to receive target number of shares of company's common stock											0.00%
Maximum eligible percentage to receive target number of shares of company's common stock											200.00%
Vested, weighted average grant date fair value (in usd per share)											$ 86.99	$ 88.06	$ 97.91
Cliff vesting period from grant date											3 years
2008 Equity Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of additional shares authorized							6,500,000
Common stock, shares authorized											38,000,000
Shares available for grant											6,300,000
2012 Employee Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares that may be issued under Employee Stock Purchase Plan										8,500,000
Percentage of common stock price for ESPP										85.00%
Stock-based compensation expense											$ 6,300,000	$ 7,200,000	$ 6,900,000

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