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6 is what percent of 8 ?

%

$6$ is what percent of $8$ ? $\newline$ $\%$

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Solve percent equations

Full solution

Q.

6

is what percent of

8

?

\newline

\%

Problem Understanding: Understand the problem. $\newline$ We need to find out what percent $6$ is of $8$ . This means we are looking for a percentage ( $x$ ) such that when $x\%$ of $8$ is taken, it equals $6$ .
Equation Expression: Express the problem as an equation. $\newline$ Let $x$ be the percentage we are looking for. Then we can write the equation as $(\frac{x}{100}) \times 8 = 6$ .
Solving for x: Solve for $x$ . $\newline$ To find $x$ , we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by $8$ . $\newline$ $\frac{x}{100} \times 8 = 6$ $\newline$ $\frac{x}{100} = \frac{6}{8}$
Fraction Simplification: Simplify the fraction on the right side of the equation. $\newline$ $\frac{6}{8}$ can be simplified to $\frac{3}{4}$ by dividing both the numerator and the denominator by $2$ . $\newline$ $\frac{x}{100} = \frac{3}{4}$
Conversion to Percentage: Convert the fraction to a percentage. $\newline$ To find $x$ , we multiply both sides of the equation by $100$ . $\newline$ $x = \left(\frac{3}{4}\right) \times 100$ $\newline$ $x = 75$

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