Percentile Calculator
Run a calculation in Mode 1 or Mode 2 to see the full step-by-step solution here.
What Is a Percentile?
A percentile tells you what share of a dataset falls below a given value. A score at the 75th percentile sits above 75% of all values in the group. Percentiles show up in standardized test reports, pediatric growth charts, income data, and scientific measurements — anywhere you need to compare one number against a distribution rather than just report it in isolation.
The 50th percentile is the median: exactly half the values fall below it. The 25th and 75th percentiles are Q1 and Q3, the boundaries of the interquartile range. For a deeper treatment of the concept, see our full guide to percentiles.
How to Use This Calculator
Select "Find Percentile Rank" if you have a value and want to know where it falls in the dataset. Select "Find Value at Percentile" if you want the actual number at a given percentile (for example, the 90th percentile of a set of salaries).
Paste or type your numbers into the dataset field. The calculator accepts comma-separated or space-separated values, and handles decimals.
In Mode 1, type the value you want to rank. In Mode 2, type the percentile you want to find (any number from 0 to 100).
Your result appears immediately. The full step-by-step working shows in the Step-by-Step tab so you can trace each calculation by hand if needed.
The Percentile Formula — Step by Step
Both formulas require the same first step: sort the dataset in ascending order. The calculator does this automatically and shows the sorted values with your target highlighted.
Formula 1 — Finding the Percentile Rank (Mode 1)
Inclusive Method (default)
PR = (L / n) × 100
Exclusive Method
PR = ((L + 0.5) / n) × 100
L is the count of values in the dataset that are strictly less than your value. n is the total number of values. The inclusive method is the standard in most school and university courses. The exclusive method shifts each value's rank slightly upward and appears in some standardized testing contexts.
Formula 2 — Finding the Value at a Percentile (Mode 2)
| Step | Formula | What it means |
|---|---|---|
| 1. Compute index | L = (P / 100) × n | P = target percentile, n = dataset size |
| 2a. L is a whole number | Value = avg of sorted[L] and sorted[L+1] | Average the two middle values |
| 2b. L is not whole | Value = sorted[⌈L⌉] | Round L up to next integer |
Always sort the dataset in ascending order before applying either formula. The calculator handles sorting automatically and shows you the result.
Percentile Examples with Solutions
Paste any of these scenarios into the calculator to see the step-by-step solution. The sorted dataset display with highlighted values makes it easy to check the working by hand.
Frequently Asked Questions
A percentage measures a part out of 100 in absolute terms (you got 82% on a test). A percentile measures your position relative to others in a dataset. Scoring at the 82nd percentile means you did better than 82% of the group, regardless of what raw score that represents. The two numbers can differ substantially depending on how a dataset is distributed.
The 90th percentile is the value in a dataset below which 90% of all other values fall. If your exam score is at the 90th percentile, you scored higher than 90 out of every 100 students in the group. It is commonly used in performance benchmarking, clinical thresholds, and standardized testing to identify top performers.
Sort the dataset in ascending order. Compute L = (75/100) × n. If L is a whole number, the 75th percentile is the average of the Lth and (L+1)th values. If L has a decimal part, round it up (ceiling) and take that value. The 75th percentile is the same as the third quartile (Q3), the upper bound of the interquartile range. See our IQR guide for more detail.
Not always — it depends on what is being measured. For exam scores, athletic performance, or salary data, a higher percentile rank is generally favorable. For measurements like BMI or systolic blood pressure, being at the 90th or 95th percentile may signal a health concern rather than a positive outcome. Always interpret percentile results in context.
Quartiles are specific percentiles that divide a dataset into four equal-sized groups. Q1 is the 25th percentile, Q2 (the median) is the 50th percentile, and Q3 is the 75th percentile. All quartiles are percentiles, but percentiles are a finer-grained tool that can describe any position from the 1st to the 99th. See our five-number summary guide for how quartiles fit into descriptive statistics.
No. Percentile ranks run from 0 to 100 by definition. A value at the 100th percentile would need to be strictly higher than every other value in the dataset, which is why most methods cap at 99 or use a formula that prevents reaching exactly 100. This calculator uses the inclusive method, which assigns a rank of 0 to a value lower than all others in the dataset.
This depends entirely on the context. In standardized testing, the 50th percentile is exactly average, the 75th is above average, and the 90th is strong performance. In clinical measurements, "good" means something different — for blood pressure, the 50th percentile is often more desirable than the 90th. There is no universal threshold that defines a "good" percentile rank.
The inclusive method uses PR = (L / n) × 100, where L is the count of values strictly less than your value. The exclusive method uses PR = ((L + 0.5) / n) × 100, which shifts ranks slightly upward. The inclusive method is the standard in most school and university courses. The exclusive method appears in some standardized testing contexts. This calculator defaults to inclusive and lets you switch via the Method dropdown in Mode 1.
Related Calculators and Guides
Percentile rank connects closely to several other descriptive statistics. These tools and guides extend what you can learn from your data.