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40 is what percent of
50?

%

$40$ is what percent of $50$ ? $\newline$ $\%$

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Solve percent equations

Full solution

Q.

40

is what percent of

50

?

\newline

\%

Problem Understanding: Understand the problem. $\newline$ We need to find out what percentage $40$ is of $50$ . This means we are looking for a number (let's call it $P$ ) such that when $P\%$ of $50$ is taken, it equals $40$ .
Equation Conversion: Convert the problem to an equation. $\newline$ Let $P$ be the percentage we are looking for. Then, $P\%$ of $50$ is $(P/100) \times 50$ . We want this to be equal to $40$ . $\newline$ So, the equation is $(P/100) \times 50 = 40$ .
Solving for P: Solve for P. $\newline$ To find P, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by $50$ . $\newline$ $\left(\frac{P}{100}\right) \times 50 = 40$ $\newline$ $\left(\frac{P}{100}\right) = \frac{40}{50}$
Simplifying the Equation: Simplify the right side of the equation. $\newline$ $\frac{40}{50}$ can be simplified to $\frac{4}{5}$ or $0.8$ . $\newline$ $\frac{P}{100}$ = $0.8$
Converting to Percentage: Convert the decimal to a percentage. $\newline$ To find $P$ , we multiply both sides of the equation by $100$ . $\newline$ $P = 0.8 \times 100$ $\newline$ $P = 80$

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