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$14$ is $100\%$ of what number?

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Find the total given a part and a percent

Full solution

Q.

14

is

100\%

of what number?

Identify equation: Identify the equation to solve the problem. $\newline$ To find the number $X$ such that $14$ is $100\%$ of it, we use the percentage formula: $\newline$ $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) * 100$ $\newline$ Here, $14$ is the part, and we need to find the whole. $\newline$ Rearrange the formula to solve for the whole: $\newline$ $\text{Whole} = \frac{\text{Part}}{(\text{Percentage} / 100)}$
Rearrange formula: Substitute the values into the rearranged formula. $\newline$ Whole = $\frac{14}{\left(\frac{100}{100}\right)}$ $\newline$ Whole = $\frac{14}{1}$
Substitute values: Calculate the final value. $\newline$ Whole = $14$ $\newline$ This means $14$ is $100\%$ of $14$ .

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