Percentile no. $$$99$$$ of $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$

The calculator will find the percentile no. $$$99$$$ of $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, with steps shown.

Values:

Comma-separated.

Percentile:

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the percentile no. $$$99$$$ of $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$.

Solution

The percentile no. $$$p$$$ is a value such that at least $$$p$$$ percent of the observations is less than or equal to this value and at least $$$100 - p$$$ percent of the observations is greater than or equal to this value.

The first step is to sort the values.

The sorted values are $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$.

Since there are $$$200$$$ values, then $$$n = 200$$$.

Now, calculate the index: $$$i = \frac{p}{100} n = \frac{99}{100} \cdot 200 = 198$$$.

Since the index $$$i$$$ is an integer, the percentile no. $$$99$$$ is the average of the values at the positions $$$i$$$ and $$$i + 1$$$.

The value at the position $$$i = 198$$$ is $$$400$$$; the value at the position $$$i + 1 = 199$$$ is $$$400$$$.

Their average is the percentile: $$$\frac{400 + 400}{2} = 400$$$.

Answer

The percentile no. $$$99$$$A is $$$400$$$A.