Percentile Rank Calculator Formula

Understand the math behind the percentile rank calculator. Each variable explained with a worked example.

Use the Percentile Rank Calculator

Formulas Used

Percentile Rank

percentile = (scores_below / total_scores) * 100

Scores Above

scores_above = total_scores - scores_below

Fraction Below

fraction = scores_below / total_scores

Variables

VariableDescriptionDefault
scores_belowNumber of Scores Below75
total_scoresTotal Number of Scores100

How It Works

How to Calculate Percentile Rank

Percentile rank indicates the percentage of scores that fall below a particular value.

Formula

Percentile Rank = (Number of Scores Below / Total Scores) x 100

A percentile of 75 means you scored better than 75% of the group.

Worked Example

A student scores higher than 75 out of 100 students.

scores_below = 75total_scores = 100
  1. 01Percentile rank = (75 / 100) x 100 = 75
  2. 02Scores above = 100 - 75 = 25
  3. 03Fraction below = 75 / 100 = 0.75

Ready to run the numbers?

Open Percentile Rank Calculator