In simple terms, a calculator is used to calculate a specific value after mathematical operations. Likewise, an SGPAto-percentage calculator is a tool or specially-designed calculator that converts the SGPA (Semester Grade Point Average) grade points to percentage values. These conversions are usually used in the education field.

The full form of SGPA is Semester Grade Point Average. This grading parameter is used by institutions to give the performance grading of students for a semester. SGPA is most widely used by colleges or institutions but is not common for all of them. Hence, a calculator to convert these SGPA points into percentages is always needed or asked by students.

For dealing with SGPA, you must have an idea of some basic elements like Semesters, Grade Points, & Credit Points.

- Semester: The semester is of 6 months and academic years are usually divided into semesters for better & detailed learning of the course.
- Grade Point: These points represent the performance of students in a specific subject learned during the course. These points are directly proportional to the knowledge of the students in that particular subject
- Credit Points: These points represent the dedication of students to a particular subject in terms of hours. Every student needs to spend a definite time period on each subject of the semester to earn qualifying credit points.

The results of each subject of a course are usually provided in terms of credit points. Students need to first calculate their SGPA for a particular semester from these credit points before converting them into percentages.

Here are some simple steps that can be followed to get SGPA value for a semester.

- Step 1: Write down all the credit points for different subjects as mentioned in your performance sheet.
- Step 2: Multiply the credit point of each subject with its grade point.
- Step 3: Now, add the results of these multiplications for each subject.
- Step 4: Add all the credit points for each subject.
- Step 5: Divide the result of Step 3 by Step 4.
- Step 6: the result obtained will be treated as your SGPA for the semester.

Example 1:

Subject | Credit Point | Grade |
---|---|---|

Subject P | 3 | 9 |

Subject Q | 2 | 8 |

Subject R | 3 | 8 |

Subject S | 2 | 7 |

- Step 1: 3, 2, 3, 2
- Step 2: 3 x 9 = 27, 2 x 8 = 16, 3 x 8 = 24, 2 x 7 = 14
- Step 3: 27+16 + 24 + 14 = 81
- Step 4: 3 + 2 + 3 + 2 = 10
- Step 5: 81/10 = 8.1
- Step 6: SGPA = 8.1

Subject | Credit Point | Grade |
---|---|---|

Subject I | 4 | 8 |

Subject II | 3 | 8 |

Subject III | 3 | 9 |

Subject IV | 2 | 7 |

Subject V | 3 | 8 |

Subject VI | 2 | 7 |

- Step 1: 4, 3, 3, 2, 3, 2
- Step 2: 4 x 8 = 32, 3 x 8 = 24, 3 x 9 = 27, 2 x 7 = 14, 3 x 8 = 24, 2 x 7 = 14
- Step 3: 32 + 24 + 27 + 14 + 24 + 14 = 135
- Step 4: 4 + 3 + 3 + 2 + 3 + 2 = 17
- Step 5: 135/17 = 7.94
- Step 6: SGPA = 7.94

The steps mentioned to calculate the SGPA point from the grade points of each subject of a semester can be represented through a formula as mentioned below.

SGPA (Si) = Σ (Ci x Gi) / Σ Ci

In this formula, Si represents the SGPA for the ith semester, Ci represents the credit point of each subject in the ith semester, and Gi represents the grade point of each subject in the ith semester.

The formula used to get percentage values from SGPA points is provided here.

Percentage = (SGPA x 10) - 7.5

The above-mentioned formula can be divided into two steps for a simplified calculation:

Step 1: SGPA x 10

Step 2: (SGPA x 10) - 7.5

To get the overall result of your qualifying course in percentage, you first need to calculate the SGPA of all the semesters using the above-mentioned points. Add the SGPA points of all the semesters to get the overall SGPA point.

After you have the overall SGPA value, put it in the formula of SGPA to percentage conversion and get your performance grade in percentage value.

For a better understanding of the students, they can see the examples provided here.

- Step 1: SGPA x 10 = 8.1 x 10 = 81
- Step 2: (SGPA x 10) - 7.5 = 81 - 7.5 = 73.5%

- Step 1: SGPA x 10 = 7.94 x 10 = 79.4
- Step 2: (SGPA x 10) - 7.5 = 79.4 - 7.5 = 71.9%

As per the UGC guidelines, letter grades are also being used by many institutions or universities that represent a particular grade point and a range of percentages. The accepted Letter Grades with their corresponding Grade Points & Percentage range are listed below.

Percentage of Marks | Letter Grade as per UGC Guideleines | Grade Points |
---|---|---|

90-100% | O (Outstanding) | 10 |

80-90% | A+ (Excellent) | 9 |

70-80% | A (Very Good) | 8 |

60-70% | B+ (Good) | 7 |

50-60% | B (Average) | 6 |

40-50% | C (Pass) | 5 |

Below 40% | F (Fail) | 0 |

Absent | AB | 0 |

CGPA is the abbreviation of Cumulative Grade Point Average and it represents the performance of a student in an academic year. While SGPA is the performance grade for a semester. CGPA can be calculated from SGPA after adding up all the SGPA values of each semester and then dividing it by the sum of the number of semesters.

For example, if the SGPA of a student in his 1st and 2nd semester is 6 and 8, respectively, then the CGPA will be calculated as:

CGPA = (SGPA of Semester 1 + SGPA of Semester 2)/(Sum of Semesters)

= (6 + 8)/(1+1)

= 14/2

= 7

Another difference between CGPA and SGPA is that CGPA is used as a performance grade method at the school levels while SGPA is used in higher studies.

7.5 SGPA is equivalent to 67.5% which is a good B+ letter grade as per UGC guidelines.

8.4 SGPA can be converted to a percentage as:

SGPA x 10 = 8.4 x 10 = 84

(SGPA x 10) - 7.5 = 84 - 7.5 = 76.5%

To calculate the SGPA of a semester, grade points & credit points for each subject of that semester are considered.

The basis formula on which this mathematical calculator operates is [(SGPA x 10) - 7.5].