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$40\%$ of what number is $15$

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Solve percent equations

Full solution

Q.

40\%

of what number is

15

Convert to decimal: Convert the percentage to a decimal. $\newline$ To convert $40\%$ to a decimal, divide by $100$ . $\newline$ $40 \div 100 = 0.4$
Set up equation: Set up the equation. $\newline$ Let the unknown number be $x$ . According to the problem, $40\%$ of $x$ is equal to $15$ . $\newline$ So, we write the equation as $0.4 \times x = 15$ .
Solve for x: Solve for x. $\newline$ To find x, divide both sides of the equation by $0.4$ . $\newline$ $x = 15 \div 0.4$
Perform division: Perform the division to find the value of $x$ . $x = \frac{15}{0.4} = 37.5$

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