Percentages: solved examples

Worked examples of percentages, from easy to hard, with every step written out. Try each one yourself first, then check the working.

✓ Every answer here is computed and checked by the math engine

Easy

Example 1. What is $25\%$ of $120$ ?
1. Convert the percentage to a fraction and multiply. $\frac{25}{100} \times 120 = 30$
Answer: $30$
Example 2. What is $5\%$ of $120$ ?
1. Convert the percentage to a fraction and multiply. $\frac{5}{100} \times 120 = 6$
Answer: $6$
Example 3. What is $50\%$ of $380$ ?
1. Convert the percentage to a fraction and multiply. $\frac{50}{100} \times 380 = 190$
Answer: $190$

Example 4. What percentage of $80$ is $24$ ?
1. Part ÷ whole × 100. $\frac{24}{80} \times 100 = 30\%$
Answer: $30\%$
Example 5. What percentage of $20$ is $6$ ?
1. Part ÷ whole × 100. $\frac{6}{20} \times 100 = 30\%$
Answer: $30\%$
Example 6. What percentage of $250$ is $230$ ?
1. Part ÷ whole × 100. $\frac{230}{250} \times 100 = 92\%$
Answer: $92\%$

Example 7. A price falls from $80$ to $60$ . What is the percentage decrease?
1. Change ÷ original × 100. $\frac{20}{80} \times 100 = 25\%$
Answer: $25\%$
Example 8. A price rises from $20$ to $25$ . What is the percentage increase?
1. Change ÷ original × 100. $\frac{5}{20} \times 100 = 25\%$
Answer: $25\%$
Example 9. A price rises from $250$ to $425$ . What is the percentage increase?
1. Change ÷ original × 100. $\frac{175}{250} \times 100 = 70\%$
Answer: $70\%$

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