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If $15\%$ of a number is $27$ $\newline$ Identify that number.

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Find the total given a part and a percent

Full solution

Q. If

15\%

of a number is

27

\newline

Identify that number.

Set Up Equation: To find the number of which $27$ is $15\%$ , we need to set up the equation $15\%$ of $X = 27$ , where $X$ is the number we are trying to find.
Convert to Decimal: Convert the percentage to a decimal to make the calculation easier. $15\%$ as a decimal is $0.15$ .
Rewrite Equation: Now we can rewrite the equation as $0.15 \times X = 27$ .
Solve for X: To solve for X, we need to divide both sides of the equation by $0.15$ . So, $X = \frac{27}{0.15}$ .
Perform Division: Perform the division to find the value of $X$ . $X = \frac{27}{0.15} = 180$ .

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