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$7$ is $100\%$ of what number?

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Find the total given a part and a percent

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Q.

7

is

100\%

of what number?

Set up proportion: To find the number we need to set up a proportion where $7$ is $100\%$ of some number $x$ . We use the formula for percentage: $(\frac{\text{Part}}{\text{Whole}}) \times 100 = \text{Percentage}$ . Here, $7$ is the part, $x$ is the whole, and the percentage is $100$ . $\newline$ Calculation: $(\frac{7}{x}) \times 100 = 100$
Calculate percentage: To isolate $x$ , we divide both sides by $100$ and then multiply both sides by $x$ to solve for $x$ . $\newline$ Calculation: $(\frac{7}{x}) = 1$ ; $7 = x$

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