Question

reinforce understanding
you can use equations and ratio reasoning when solving problems involving percents.
determine 35% of 200,
convert the percent to a decimal.
35% is equivalent to 0.35.
multiply.
0.35 × 200 = 70
so, 35% of 200 is 70.
what percent of 35 is 14?
write as a fraction. then generate an equivalent fraction with a denominator of 100.
\\(\frac{14}{35}=\frac{7×2}{7×5}=\frac{2}{5}\\) and then \\(\frac{2}{5}=\frac{2×20}{5×20}=\frac{40}{100}\\)
rewrite the resulting fraction as a percent.
\\(\frac{40}{100}\\) is equivalent to 40%.
14 is 40% of 35.
for exercises 1-4, find the percent. show your work.

1. 25% of 80
2. 12% of 50
3. 9% of 300
4. 45% of 60

for exercises 5-8, answer the question. show your work.

1. what percent of 20 is 12?
2. what percent of 200 is 36?
3. what percent of 65 is 13?
4. what percent of 480 is 24?

Explanation:

Step1: Solve 25% of 80

Convert percent to decimal: $25\% = 0.25$
Multiply: $0.25 \times 80 = 20$

Step2: Solve 12% of 50

Convert percent to decimal: $12\% = 0.12$
Multiply: $0.12 \times 50 = 6$

Step3: Solve 9% of 300

Convert percent to decimal: $9\% = 0.09$
Multiply: $0.09 \times 300 = 27$

Step4: Solve 45% of 60

Convert percent to decimal: $45\% = 0.45$
Multiply: $0.45 \times 60 = 27$

Step5: Solve "What percent of 20 is 12?"

Write as fraction: $\frac{12}{20}$
Simplify and scale to denominator 100: $\frac{12}{20} = \frac{12 \times 5}{20 \times 5} = \frac{60}{100} = 60\%$

Step6: Solve "What percent of 200 is 36?"

Write as fraction: $\frac{36}{200}$
Simplify and scale to denominator 100: $\frac{36}{200} = \frac{36 \div 2}{200 \div 2} = \frac{18}{100} = 18\%$

Step7: Solve "What percent of 65 is 13?"

Write as fraction: $\frac{13}{65}$
Simplify and scale to denominator 100: $\frac{13}{65} = \frac{1}{5} = \frac{1 \times 20}{5 \times 20} = \frac{20}{100} = 20\%$

Step8: Solve "What percent of 480 is 24?"

Write as fraction: $\frac{24}{480}$
Simplify and scale to denominator 100: $\frac{24}{480} = \frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100} = 5\%$

Answer:

1. 20
2. 6
3. 27
4. 27
5. 60%
6. 18%
7. 20%
8. 5%