Percentile Rank Calculator
Find the percentile rank of a value within a dataset.
How to use this tool
- Enter dataset (comma-separated) and value (x) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your percentile rank (%) and the full breakdown beneath it.
Percentile rank = (number of values below x / total values) × 100. Tells you what percentage of the dataset falls below a given value.
Formula
Percentile Rank (%) = (Number of values in dataset strictly below x ÷ Total number of values) × 100
How it works
This calculator counts how many values in the dataset fall strictly below the target value x, divides that count by the total number of values, and multiplies by 100 to produce a percentile rank. This is the "less than" definition of percentile rank, which is common in educational testing. Note that it does not include the value itself in the numerator, so a score equal to the median of a dataset will not return exactly 50 in all cases.
Worked example
Worked example
- Dataset: 10, 20, 30, 40, 50 (5 values). Target value x = 30.
- Values strictly below 30: {10, 20} → count = 2.
- Percentile Rank = (2 ÷ 5) × 100 = 40%.
Percentile Rank: 40%
Key terms
- Percentile rank
- The percentage of values in a dataset that fall strictly below a given value, indicating relative standing within a group.
- Dataset
- The complete collection of numeric values against which a single score is compared.
- "Less than" definition
- The convention used here: only values strictly below x are counted, not values equal to x.
- Median
- The middle value of an ordered dataset; under the less-than definition, the median's percentile rank equals 50% only when the dataset has no repeated values at the median.
Frequently asked questions
- What is percentile rank?
- A percentile rank of 40 means that 40% of the values in the dataset are below the given value. It differs from a percentile score, which gives the value at a given cumulative percentage.