Percentage Formula
- Formula / Rule
- Percentage Formula
- Topic
- Percentage & Profit/Loss
- Formula
$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$
$\text{Part} = \frac{\text{Percentage} \times \text{Whole}}{100}$
$\text{% Change} = \frac{(\text{New Value} - \text{Old Value})}{\text{Old Value}} \times 100$
- Positive result: Percentage increase
- Negative result: Percentage decrease
- When to Use
- Calculating percentages, percentage change, and a percentage of a quantity.
- Worked Example
Q: A shirt costs NPR $800$. After a $25%$ discount, what is the price?
Discount = $25%$ of $800 = \frac{25}{100} \times 800 = \text{NPR } 200$ Sale price = $800 - 200 = \text{NPR } 600$