Percentages Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Percentages.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A way of expressing a quantity as a fraction of 100, written with the symbol % to mean 'per hundred.'
Percent means 'per hundred.' 25\% means 25 out of every 100.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Percentages standardize comparisons by using 100 as the reference.
Common stuck point: Converting between percent, decimal, and fraction forms fluently — especially remembering to divide by 100 to convert percent to decimal.
Sense of Study hint: Write all three forms in a row: percent, then divide by 100 for the decimal, then put over 100 and simplify for the fraction.
Worked Examples
Example 1
easySolution
- 1 Recall that "percent" means per hundred, so 25\% = \frac{25}{100} = 0.25 as a decimal.
- 2 Multiply the decimal by the whole amount: 0.25 \times 80.
- 3 Calculate: 0.25 \times 80 = 20
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.