Percentage of Number
Calculate what X% of a number is.
What does “percentage of” mean?
“Percent” means “per hundred” — it is a way of expressing a fraction with a denominator of 100. When you calculate X% of a number, you are finding what fraction X/100 of that number is. This is one of the most fundamental calculations in everyday numeracy, used in tipping, tax, discounts, and data analysis.
The calculation is a single multiplication: divide the percentage by 100 to convert it to a decimal, then multiply by the whole number. A common mental shortcut is to find 10% first (divide by 10), then scale up or down from there.
The formula
Result = (Percentage ÷ 100) × NumberExamples:
15% of 200 = (15 ÷ 100) × 200 = 0.15 × 200 = 30
8.5% of 1,400 = 0.085 × 1,400 = 119
110% of 50 = 1.10 × 50 = 55 (more than the whole)The three percentage problem types
Every percentage problem is a variation of the same equation: Part = Percentage × Whole. Depending on which variable is unknown, you get three distinct question types:
| Question type | Example | Formula | Answer |
|---|---|---|---|
| What is X% of N? | What is 20% of 150? | Part = % × Whole | 30 |
| X is what % of N? | 30 is what % of 150? | % = (Part ÷ Whole) × 100 | 20% |
| X% of what = N? | 20% of what number = 30? | Whole = Part ÷ % | 150 |
Quick mental maths shortcuts
Everyday applications
- Restaurant tips. A 15% tip on a €68 bill: 10% = €6.80, 5% = €3.40, total = €10.20.
- Sales tax and VAT. A 21% VAT on a €200 product adds €42, making the total €242.
- Discounts. A 30% discount on a €450 item saves €135, leaving a price of €315.
- Investment returns. A 7% annual return on a €10,000 portfolio earns €700 in year one.
- Nutrition. If a food has 340 kcal and fat accounts for 35% of calories, that is 119 kcal from fat.
- Exam scores. Scoring 72% on a 50-question test means getting 36 questions right (0.72 × 50 = 36).
Calculates what a specific percentage of a number is. This is the most fundamental percentage calculation: "What is X% of Y?"
Result = (Percentage ÷ 100) × Number