Percentage Calculator

Formula & Calculation Methodology

Percentage Value = (Percentage × Total) / 100 | Percentage Change = ((New Value − Old Value) / Old Value) × 100

	ext{Result} = rac{P 	imes V}{100}, quad 	ext{Change}% = rac{V_{new} - V_{old}}{V_{old}} 	imes 100

Step-by-Step Worked Example

Find 15% of ₹8,000 and calculate percentage increase from ₹500 to ₹650

1. 15% of ₹8,000 = (15 × 8000) / 100 = 1,200
2. Increase from ₹500 to ₹650 = ((650 − 500) / 500) × 100 = (150 / 500) × 100 = 30%

What is Percentage?

A percentage represents a fraction or ratio expressed out of 100. Denoted by the symbol "%", it is used worldwide to compare proportions, discounts, tax rates, growth metrics, and test scores.

Basic Percentage Formula

The fundamental formula to calculate a percentage is:

Percentage Amount = (Percentage Rate × Total Value) / 100

Percentage of a Number

To find what a specific percentage of a number equals, multiply the number by the percentage and divide by 100. For example, 20% of 500 = (20 × 500) / 100 = 100.

What Percentage is X of Y?

To find what percentage one number (X) is of another number (Y), divide X by Y and multiply by 100: Percentage = (X / Y) × 100.

Percentage Increase

Percentage increase measures how much a value has grown relative to its starting value:

Percentage Increase (%) = ((New Value − Original Value) / Original Value) × 100

Percentage Decrease

Percentage decrease measures how much a value has fallen relative to its starting value:

Percentage Decrease (%) = ((Original Value − New Value) / Original Value) × 100

Percentage Difference

Percentage difference is used when comparing two values when neither is explicitly the "original" or starting value.

Worked Examples

1. Calculate 15% discount on ₹4,000: (15 × 4000) / 100 = ₹600 discount (Final Price = ₹3,400).

2. Score 420 out of 500 marks: (420 / 500) × 100 = 84%.

Frequently Asked Questions