Percentile Calculator
Find the percentile rank of a value in a dataset, or find the value at a given percentile — two modes, one tool.
Enter your dataset and a target value to find what percentile that value falls at.
Formula: (values below + 0.5 × values equal) ÷ total × 100
Enter your dataset and a desired percentile to find the value at that percentile using linear interpolation.
Method: linear interpolation (exclusive method, L = (P/100) × N)
Percentile Rank vs Value at Percentile — What is the difference?
Percentile Rank answers: "Where does this value stand compared to the rest of the dataset?" A percentile rank of 75 means the value is higher than 75% of all values in the set.
Value at a Percentile answers: "What is the cutoff score at the 90th percentile?" It finds the actual data value below which a given percentage of observations fall.
| Question | Mode to Use | Input | Output |
|---|---|---|---|
| My score is 82 — how does it compare? | Percentile Rank | Dataset + value 82 | e.g. 78th percentile |
| What score is needed to be in the top 10%? | Value at Percentile | Dataset + percentile 90 | e.g. score 91.5 |
How the formulas work
Percentile Rank formula: PR = (B + 0.5 × E) / N × 100, where B = count of values strictly below the target, E = count of values equal to the target, N = total number of values. The 0.5 × E term accounts for ties fairly.
Value at Percentile (linear interpolation): Sort the dataset. Compute L = (P / 100) × N. If L is a whole number, average the Lth and (L+1)th values. Otherwise, round up to the next integer and use that position in the sorted list. This is the exclusive method used by most statistics textbooks.
Frequently asked questions
What is a percentile?
A percentile is a value below which a given percentage of data points fall. For example, the 90th percentile is the value below which 90% of the observations in the dataset lie. Percentiles are widely used in test scores, growth charts, and salary benchmarking.
What is the difference between percentile and percentage?
Percentage is a ratio out of 100, describing how much of something you have (e.g. you scored 85% on a test). Percentile is a relative rank that describes where your score stands compared to a group (e.g. your score is at the 92nd percentile, meaning you scored higher than 92% of test-takers). You can score 85% but be at the 50th percentile if most others also scored around 85%.
How is percentile calculated in competitive exams like JEE or NEET?
In JEE Main, percentile = (100 × number of candidates with raw score equal to or less than yours) / total candidates in the session. This is slightly different from the standard formula used here because JEE uses session-normalised scores. The concept is the same: it tells you what fraction of candidates you scored above or equal to.
What does 99th percentile mean?
Being at the 99th percentile means you scored higher than 99% of the people in the dataset. Only 1% scored the same or higher. It is a very high rank — for example, in CAT exam results, a 99+ percentile typically means you are among the top 1% of all test-takers nationwide.
Can two different scores give the same percentile?
Yes, if multiple people have the same score, they all share the same percentile range. The formula handles this by counting ties as half-below using the 0.5 × equal term, so everyone with the same score gets the same fair percentile rank rather than arbitrarily splitting them.