Skip to main calculator content
Education & Math Utility 4 Calculation Modes Instant Client-Side Solver

Percentage Calculator

Solve all four common percentage problems in one place: find what percentage X is of Y, calculate percentage increase or decrease, compute exam marks percentage, and find X% of any number.

Mode 1 · Proportion

X is what percentage of Y?

Result Percentage
75%
(45 ÷ 60) × 100 = 75%
Mode 2 · Rate of Change

Percentage Increase / Decrease

Percentage Change
25% Increase
Difference: +125
Mode 3 · Academic Exams

Marks Percentage Calculator

Exam Percentage
80%
Scored 640 out of 800 total marks
Mode 4 · Direct Share

Calculate X% of Y

Result Value
360
(15 ÷ 100) × 2400 = 360

Percentage Formulas & Calculation Methods

The word percent comes from the Latin per centum, meaning "by the hundred." Every percentage problem expresses a dimensionless ratio scaled to a denominator of 100:

1. X is what % of Y:   Percentage = (X ÷ Y) × 100
2. Percentage Change:   % Change = ((Final Value − Initial Value) ÷ |Initial Value|) × 100
3. Marks Percentage:    % Marks = (Obtained Marks ÷ Total Full Marks) × 100
4. X% of Y:             Value = (X ÷ 100) × Y

Realistic Student & Everyday Examples:

  • Exam Marks Example: If a student receives 80 marks out of 100 (or 640 out of 800), the percentage is 80 / 100 × 100 = 80%.
  • Scholarship Discount Example: A college tuition fee of NPR 2,400 with a 15% scholarship waiver gives a discount of (15 / 100) × 2400 = NPR 360.
  • Score Improvement Example: Improving your mock test score from 500 to 625 is a ((625 − 500) / 500) × 100 = 25% increase.

Frequently Asked Questions

To find what percentage a part (X) is of a whole (Y), divide X by Y and multiply the result by 100: Percentage = (X / Y) × 100.

Divide your total obtained marks by the maximum full marks of the exam and multiply by 100. For example, 640 marks out of 800 equals (640 / 800) × 100 = 80%.

Subtract the initial value from the final value, divide that difference by the absolute initial value, and multiply by 100: ((Final - Initial) / Initial) × 100.

Subtract the new smaller value from the original value, divide by the original value, and multiply by 100: ((Original - New) / Original) × 100.

Yes. All four modes support whole integers, decimals, and financial or academic figures.
Education Free Utility

Grade Calculator

Convert obtained marks and total marks into exact percentage, NEB/SEE letter grade, and 4.0 scale grade point.

Open Grade Calculator →
Math Free Utility

Average Calculator

Calculate arithmetic mean (average), sum, count, minimum, maximum, and median from dynamic number inputs.

Open Average Calculator →
Math Free Utility

Ratio Calculator

Simplify ratios, generate equivalent ratios, divide an amount into ratio shares, and solve missing value proportions (A:B = C:x).

Open Ratio Calculator →
Education Free Utility

SEE GPA Calculator

Calculate your Secondary Education Examination (SEE) GPA, subject grades, and grade points using the official NEB 2078/2081 grading system.

Open SEE GPA Calculator →