Hello Aspirant,

With 88 percentile in JEE mains your rank will be around 92303-169542. This  varies every year depending upon many factors like difficulty level of questions, no of students appear for the exam, no of students want to get the the same branch. Go through the link to check out rank vs marks vs percentile:

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

With this rank if you are a general category student then it is impossible to get good NITs. At least to get NITs candidates rank should be under 50000.

Use this JEE college predictor to get list of colleges based on your score:

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Visit this page and check out previous year's college wise, branch wise cutoff:

https://engineering.careers360.com/articles/jee-main-cutoff

Best wishes