If I have got a percentile of 88, what will be my score rank and what are the institutes available for me?

hello Ashish Based on percentile you can use yhis tool to find your rank

JEE Main 2019 rank (probable) = (100- NTA percentile score ) X 874469 /100

If NTA percentile score is 90.70, JEE Main rank will be (100-90.70 ) X 874469/100 = 81325

Consider the NTA score of 80.60 then JEE Main 2019 rank = (100-80.60) X 874469 /100. The rank will be 169646.

** This formula would not be for a 100 percentile score as those are the top ranks.

based on this formula your rank would be around 1 lakh.

So chances of getting colleges are very low. In later round or spot rounds You can get Guru ghasidas university and Guru kangri vishwavidalya

for further information visit

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

Hello

It would be difficult to predict the actual rank based on the percentile scores as JEE Main exam is being conducted twice a year for the first time and rank will be based on the NTA percentile score but you may check your expected rank.
According to your percentile score and considering you belong to the General category, your expected rank will be around 125,987 - 145,987.
It should be noted that  the Overall Rank Predicted is on the basis of the expected total number of students i.e. 1150000 appearing in the JEE Mains April Session.

With this rank, chances would be less for admission to the decent Engineering colleges.
Good Luck!