Question

a survey of 400 students asked for their favorite after - school activity. the results showed that 20 of the students named chess as their favorite activity. what percentage of the students in the survey named chess as their favorite activity? %

Explanation:

Step1: Use the percentage formula

The formula for percentage is $\frac{\text{part}}{\text{whole}}\times100\%$. Here, the part is the number of students who named chess ($20$), and the whole is the total number of students surveyed ($400$). So we have $\frac{20}{400}\times100\%$.

Step2: Simplify the fraction

Simplify $\frac{20}{400}=\frac{20\div20}{400\div20}=\frac{1}{20}$. Then $\frac{1}{20}\times100\%$.

Step3: Calculate the percentage

$\frac{1}{20}\times100\%=(1\times\frac{100}{20})\% = 5\%$.

Answer:

$5$