Program to calculate Percentile of a student based on rank

Given the rank of a student and the total number of students appearing in an examination, the task is to find the percentile of the student.

The percentile of a student is the % of the number of students having marks less than him/her.

Examples:

Input: Rank: 805, Total Number of Students Appeared: 97481
Output: 99.17
Explaination:
((97481 – 805) / 97481) * 100 = 99.17

Input: Rank: 65, Total Number of Students Appeared: 100
Output: 35
Explaination:
((100 – 65) / 100) * 100 = 35



Approach
The formula to calculate the percentile when the rank of the student and the total number of students appeared is given is:

((Total Students – Rank) / Total Students) * 100

Below is the implementation of the above formula:

C++

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// C++ program to calculate Percentile
// of a student based on rank
  
#include <bits/stdc++.h>
using namespace std;
  
// Program to calculate the percentile
float getPercentile(int rank, int students)
{
    // flat variable to store the result
    float result = float(students - rank)
                   / students * 100;
  
    // calculate and return the percentile
    return result;
}
  
// Driver Code
int main()
{
    int your_rank = 805;
    int total_students = 97481;
  
    cout << getPercentile(
        your_rank, total_students);
}

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Java

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// Java program to calculate Percentile
// of a student based on rank
import java.util.*;
  
class GFG{
   
// Program to calculate the percentile
static float getPercentile(int rank, int students)
{
    // flat variable to store the result
    float result = (float)(students - rank)
                   / students * 100;
   
    // calculate and return the percentile
    return result;
}
   
// Driver Code
public static void main(String[] args)
{
    int your_rank = 805;
    int total_students = 97481;
   
    System.out.print(getPercentile(
        your_rank, total_students));
}
}
  
// This code is contributed by Princi Singh

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Python3

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# Python3 program to calculate Percentile 
# of a student based on rank 
  
# Program to calculate the percentile 
def getPercentile(rank, students) : 
  
    # flat variable to store the result 
    result = (students - rank) / students * 100
  
    # calculate and return the percentile 
    return result; 
  
# Driver Code 
if __name__ == "__main__"
  
    your_rank = 805
    total_students = 97481
  
    print(getPercentile(your_rank, total_students)); 
  
# This code is contributed by Yash_R

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C#

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// C# program to calculate Percentile
// of a student based on rank
using System;
  
class GFG{
    
// Program to calculate the percentile
static float getPercentile(int rank, int students)
{
    // flat variable to store the result
    float result = (float)(students - rank)
                   / students * 100;
    
    // calculate and return the percentile
    return result;
}
    
// Driver Code
public static void Main(String[] args)
{
    int your_rank = 805;
    int total_students = 97481;
    
    Console.Write(getPercentile(
        your_rank, total_students));
}
}
  
// This code is contributed by Princi Singh

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Output:

99.1742

Performance Analysis:

  • Time Complexity: In the above approach, we are able to calculate percentile using a formula in constant time, so the time complexity is O(1).
  • Auxiliary Space Complexity: In the above approach, we are not using any extra space apart from a few constant size variables, so Auxiliary space complexity is O(1).

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Improved By : Yash_R, princi singh

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