Question

the number 99 is 44% of what number?
use the variable x to represent the unknown quantity.
\\(\frac{\square}{\square} = \frac{\square}{100}\\)
use means and extremes to solve for the unknown.
\\(100 \cdot \square = \square \cdot x\\)
\\(\square = \square \cdot x\\)
\\(x = \square\\)
complete each sentence.
the number 99 is 44% of \\(\square\\).

Explanation:

Step1: Set up the proportion

The proportion for percentage problems is $\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}$. Here, the part is $59$, the percent is $44$, and the whole is $x$. So we have $\frac{59}{x}=\frac{44}{100}$.

Step2: Use cross - multiplication (means and extremes)

Cross - multiplying gives $100\times59 = 44\times x$.

Step3: Simplify the left - hand side

$100\times59=5900$, so $5900 = 44x$.

Step4: Solve for $x$

Divide both sides by $44$: $x=\frac{5900}{44}=\frac{5900\div4}{44\div4}=\frac{1475}{11}\approx134.09$.

Answer:

The number $59$ is $44\%$ of $\frac{1475}{11}\approx134.09$.