Understanding Percentages
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". Percentages are deeply embedded in our daily lives, from calculating discounts at supermarkets to determining bank interest rates and taxes.
Our comprehensive free structural calculator allows you to quickly evaluate the two most common percentage formats without memorizing any complex algebra.
The Core Percentage Formulas
Finding the value: Value = (Percentage / 100) × Total
Finding the percentage: Percentage = (Value / Total) × 100%
Finding the percentage: Percentage = (Value / Total) × 100%
Worked Examples
Example 1: You want to know what 20% of 150 is.
- Calculation: (20 / 100) × 150 = 0.2 × 150 = 30
Example 2: You scored 45 marks out of a total possible 60 marks. What is your grade percentage?
- Calculation: (45 / 60) × 100 = 0.75 × 100 = 75%
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