Revenue Performance - Revenue for the three months ended September 30, 2023, was 1,023.1million,a13902.6 million for the same period in 2022[95]. - Recurring revenue represented 85% of total revenue for the three months ended September 30, 2023, compared to 84% for the same period in 2022[93]. - Product and maintenance revenue for the nine months ended September 30, 2023, was 2,852.4million,reflectinga142,494.3 million in 2022[95]. - The company experienced a 14% growth in total revenue for the nine months ended September 30, 2023, amounting to 3,021.4millioncomparedto2,661.8 million in 2022[95]. - Revenue from the United States increased by 29.4million(7421.6 million, while revenue from China grew by 23.7million(16172.0 million during the same period[98]. - Revenue recognized over time was 83% for the three months ended September 30, 2023, compared to 81% for the same period in 2022, indicating a growth in recurring revenue[92]. - Recurring revenue accounted for 85% of total revenue for the nine months ended September 30, 2023, compared to 84% for the same period in 2022[93]. - Revenue from emulation and prototyping hardware offerings contributed significantly to growth in China during the nine months ended September 30, 2023[99]. Cost and Expenses - Cost of product and maintenance for the three months ended September 30, 2023, was 85.8million,up3862.4 million in the same period last year[102]. - Operating expenses for the three months ended September 30, 2023, totaled 604.4million,reflectinga10550.2 million in the prior year[112]. - Research and development expenses increased by 46.0million(14369.6 million for the three months ended September 30, 2023[112]. - Marketing and sales expenses rose by 23.3million(15176.2 million during the same period[112]. - The cost of product and maintenance increased primarily due to higher sales of emulation and prototyping hardware, which saw a cost increase of 20.1millionforthethreemonthsendedSeptember30,2023[106].−Generalandadministrativeexpensesdecreasedby15.1 million and 7.4millionforthethreeandninemonthsendedSeptember30,2023,respectively,comparedtothesameperiodsin2022[117].−CostofservicesforthethreemonthsendedSeptember30,2023,was23.8 million, a 6% decrease from 25.2millionintheprioryear[102].ProfitabilityandMargins−Operatingmargindecreasedto299.1 million and 27.2millionforthethreeandninemonthsendedSeptember30,2023,respectively,comparedto5.5 million and 13.9millioninthesameperiodsin2022[122].−Provisionforincometaxeswas45.6 million and 202.6millionforthethreeandninemonthsendedSeptember30,2023,witheffectivetaxratesof15.2962.0 million as of September 30, 2023, from 882.3millionasofDecember31,2022[126].−Networkingcapitalroseto560.3 million as of September 30, 2023, compared to 359.1millionasofDecember31,2022[127].−Cashprovidedbyoperatingactivitieswas1,077.1 million for the nine months ended September 30, 2023, an increase of 98.8millioncomparedto978.3 million in the same period in 2022[128]. - Cash used for investing activities decreased to (313.6)millionfortheninemonthsendedSeptember30,2023,from(674.5) million in the same period in 2022, primarily due to decreases in cash used for business combinations[130]. - Cash used for financing activities increased to (666.0)millionfortheninemonthsendedSeptember30,2023,comparedto(299.9) million for the same period in 2022, a change of (366.1)million[131].−Approximately661.0 billion for the stock repurchase program, with approximately 1.5billionremainingavailableasofSeptember30,2023[132].−Thecompanyenteredintoa300.0 million three-year senior non-amortizing term loan facility due on September 7, 2025, with compliance to all financial covenants as of September 30, 2023[135]. - The company issued 350.0millioninSeniorNotesdueOctober15,2024,withnetproceedsof342.4 million, and was in compliance with all covenants associated with these notes as of September 30, 2023[134].