Question

use the variable x to represent the unknown quantity.
image of a proportion with boxes = image of a fraction with 100 in the denominator
use means and extremes to solve for the unknown.
100 · box = box · x
box = box · x
x = box
complete each sentence.
the number 99 is 44% of box.

Explanation:

Step1: Set up the proportion

The proportion for percentage is \(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\). Here, the part is \(99\), the percent is \(44\), and the whole is \(x\). So the proportion is \(\frac{99}{x}=\frac{44}{100}\).

Step2: Use cross - multiplication (means and extremes)

Cross - multiply: \(100\times99 = 44\times x\).

Step3: Simplify the left - hand side

\(100\times99=9900\), so the equation becomes \(9900 = 44x\).

Step4: Solve for \(x\)

Divide both sides of the equation by \(44\): \(x=\frac{9900}{44}\).

Step5: Calculate the value of \(x\)

\(\frac{9900}{44}=\frac{9900\div4}{44\div4}=\frac{2475}{11}=225\).

Answer:

The number \(99\) is \(44\%\) of \(225\).