With 86 percentile, your expected rank will be around 125000-127000. With this much rank, you may get into the  following Private Institutes:

• Rizvi College of Engineering
• Bharati Vidyapeeth College of Engineering, Lavale
• Jawaharlal Nehru Engineering College
• Walchand Institute of Technology

However this is not the complete list of Private colleges where you may get admission based on your percentile, to check the complete list of Institutes where you may get admission with this much percentile, kindly use the college predictor through the link given below: