Dear aspirant hope you are doing well. It's difficult to predict because cut keep changing every year depends on various factors like no of seat available , difficulty level of exam and no. of student appear in exam.

As you secured 168399 rank in jee mains. Your percentile lies in between 86.05600452 -91.89928202 . You can check the using the given link below

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile/amp

From previous years trends and analysis, it has observe that all the seats are filled up by candidates in between 15k to 25k rank in colleges NITs , IIITs, GIFTs . So its difficult to get any any NITs , IIITs, and GIFTs .

Top Nits cut off colleges and category wise with home quota and AIQ.

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

Cut off IIITS COLLEGE With home state quota and AIQ.

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits/amp

Cut off top GFTIs colleges with home state quota and AIQ

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis/amp

According to your rank you will get some of private colleges are listed.

• Hri Ramdeobaba College of Engineering and Management, Nagpur
• Vivekanand Education Society's Institute of Technology, Chembur, Mumbai
• More

For best results, please must use jee main college predictor tool, so you can get best college according to your rank and category.

To know the list of engineering colleges  , you have chances to get admission, you can also use JEE MAINS college predictor tool. Link is given below..

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

To qualify jee advance 2022 cut off percentile is given below.

General : - 88.4121383 percentile

EWS:- 63.1114141 percentile

OBC-NCL :- 67.0090297 percentile

SC :- 43.0820954 percentile

ST:- 26.7771328 percentile

PWD :- 0.0096375 percentile

Hope it's helpful thank