Find 90th Percentile Scores For Each Student

I am stumped on a set-based approach for this one.

A cursor approach is straightforward enough, but i want to avoid that.

Here's my table:

create table StudentScores
(
id int primary key identity(1,1),
student_id int not null,
score int not null
)

with some sample data:

insert into StudentScores (student_id, score)
select 1, 10 union all
select 1, 29 union all
select 1, 50 union all
select 1, 53 union all
select 1, 45 union all
select 1, 10 union all
select 1, 29 union all
select 1, 50 union all
select 1, 53 union all
select 1, 45 union all
select 1, 88 union all
select 2, 23 union all
select 2, 54 union all
select 2, 55 union all
select 2, 34 union all
select 2, 56 union all
select 2, 78 union all
select 2, 23 union all
select 2, 54 union all
select 2, 55 union all
select 2, 34 union all
select 2, 56 union all
select 2, 78 union all
select 2, 23 union all
select 2, 54 union all
select 2, 55 union all
select 2, 34 union all
select 2, 56 union all
select 2, 78 union all
select 2, 98


What I want is, for each student, what is their 90th percentile score?

For a given single student, one possibility would be:

declare @studentid int
set @studentid = 2
select top 1 @studentid as student_id, a.score as [90th percentile score]
from
(
select top 90 percent score from StudentScores
where student_id = @studentid order by score asc
) as a
order by a.score desc

But I want this for all students, and not use a cursor.

Any ideas?

Thanks!