Percentile rank refers to the percentage of scores that are equal to or less than a given score.
A percentile rank of 78 means that 78% of the scores fall at or below a given score.
Then, if if you score a 78 in a test graded from 0 to 100, it doesn't mean that the percentile rank is 78; to find the percentile rank you need to compare your score with the score of the other students that presented the test.
Answer: Your friend is not correct