On school spirit day, 234 students wore school colors. This number represents 78% of the total number of students. What is the total number of students?

total students
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1 answer

Let the total number of students be \( x \). According to the problem, 234 students represent 78% of the total number of students. We can express this relationship with the equation:

\[ 0.78x = 234 \]

To find \( x \), we can solve for it by dividing both sides of the equation by 0.78:

\[ x = \frac{234}{0.78} \]

Now, we perform the division:

\[ x = 300 \]

Therefore, the total number of students is \( \boxed{300} \).