Percentage
Expresses a part of a whole out of 100.
\text{Percentage} = \dfrac{\text{Value}}{\text{Total}} \times 100
1What it means
A percentage is a fraction with denominator 100. It lets you compare quantities on a common scale.
2Variables
| Symbol | Meaning |
|---|---|
| \text{Value} | The part being measured |
| \text{Total} | The whole amount |
3Worked examples
Example 1 Worked solution
Q. A student scored 45 out of 60. Find the percentage.
- Percentage = (Value / Total) × 100.
- = (45 / 60) × 100.
- = 0.75 × 100.
✓ 75%
4Where it's used
- ✦Marks, discounts, hikes, and population/data comparisons.
5Tips & common mistakes
- !To find x% of a number, multiply by x/100.
- !A percentage increase then an equal percentage decrease does NOT return the original value.