Long-Term Debt, Net, and Other Borrowings - Narrative (Details)			1 Months Ended		3 Months Ended	6 Months Ended	9 Months Ended
	Dec. 08, 2022 USD ($) $ / shares	Dec. 05, 2022	Dec. 31, 2022 USD ($)	Dec. 31, 2022 USD ($)	Jun. 30, 2023 USD ($)	Jun. 30, 2023 USD ($) financial_covenant	Sep. 30, 2022 USD ($)
Debt Instrument [Line Items]
Number of covenants | financial_covenant						2
Minimum interest coverage ratio			3.00	3.00
Convertible Debt
Debt Instrument [Line Items]
Extinguishment of debt	$ 75,000,000
2.625% Convertible Senior Notes due 2027 | Convertible Debt
Debt Instrument [Line Items]
Debt instrument face amount	$ 575,000,000
Interest rate	2.625%
Proceeds from convertible debt	$ 557,800,000
Initial conversion price (in dollars per share) | $ / shares	$ 79.81
Share price (in dollars per share) | $ / shares	$ 56.01
Initial conversion premium	42.50%
Debt instrument, stock price percentage	130.00%
Purchase price as a percentage of principal amount	100.00%
Long-term debt					$ 575,000,000	$ 575,000,000
Debt instrument, fair value					575,000,000	575,000,000
Interest expense, debt					$ 3,900,000	$ 7,800,000
Conversion ratio		0.0125291	0.0178539
Minimum | 2.625% Convertible Senior Notes due 2027 | Convertible Debt
Debt Instrument [Line Items]
Debt instrument, covenant percentage of additional interest					0.25%	0.25%
Maximum | 2.625% Convertible Senior Notes due 2027 | Convertible Debt
Debt Instrument [Line Items]
Debt instrument, covenant percentage of additional interest					0.50%	0.50%
2019 Term Loan Facility | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity			$ 200,000,000	$ 200,000,000
Debt instrument term				5 years
Repayments of debt				$ 167,600,000			$ 7,800,000
Gain on extinguishment of debt				600,000
Deferred financing cost			2,700,000	2,700,000
2019 Revolving Facility | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity			200,000,000	$ 200,000,000
Debt instrument term				5 years
2022 Term Facility | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity			100,000,000	$ 100,000,000
Line of credit facility, commitment fee percentage						0.20%
Revolving Credit Facility | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity			$ 350,000,000	$ 350,000,000
Debt instrument term				5 years
Outstanding borrowings					$ 0	$ 0
Revolving Credit Facility | Minimum | SOFR | Line of Credit
Debt Instrument [Line Items]
Debt instrument, basis rate						1.50%
Revolving Credit Facility | Minimum | Base Rate | Line of Credit
Debt Instrument [Line Items]
Debt instrument, basis rate						0.50%
Revolving Credit Facility | Minimum | Net Leverage Ratio | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, unused capacity, commitment fee percentage						0.15%
Revolving Credit Facility | Maximum | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity					350,000,000	$ 350,000,000
Line of credit facility, accordion feature, higher borrowing capacity option					335,000,000	$ 335,000,000
Revolving Credit Facility | Maximum | SOFR | Line of Credit
Debt Instrument [Line Items]
Debt instrument, basis rate						2.50%
Revolving Credit Facility | Maximum | Base Rate | Line of Credit
Debt Instrument [Line Items]
Debt instrument, basis rate						1.50%
Revolving Credit Facility | Maximum | Net Leverage Ratio | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, unused capacity, commitment fee percentage						0.35%
Letter of Credit | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity					20,000,000	$ 20,000,000
Bridge Loan | Line of Credit
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity					$ 10,000,000	$ 10,000,000