Look up table based on integer values

Consider the following dataframe:

lookup <- 
data.frame(
level = 1:5,
points_needed = c(150, 250, 420, 580, 620)
)

lookup

  level points_needed
1     1           150
2     2           250
3     3           420
4     4           580
5     5           620

Now consider the following observations:

data <-
data.frame(
person_name = c("Bob", "Bob", "Bob", "Jim", "Jim"),
match = c(1, 2, 3, 1, 2),
total_points = c(100, 300, 430, 200, 600)
)

data
  person_name match total_points
1         Bob     1          100
2         Bob     2          300
3         Bob     3          430
4         Jim     1          200
5         Jim     2          600

I would like to create new columns in data. This column would indicate the level of the person_name - this changes based on the total_points in relation to the lookup table. Desired result:

data
  person_name match total_points level
1         Bob     1          100     0
2         Bob     2          300     2
3         Bob     3          430     3
4         Jim     1          200     1
5         Jim     2          600     5

I can't use a join here since there's nothing to join on. Any suggestions?