Question

solve.
enter the correct answers in the boxes.

$67\\%$ of $180 = \square$

$\square\\%$ of $400 = 104$

$55\\%$ of $\square = 11$

Explanation:

First Problem: \( 67\% \) of \( 180 \)

Step1: Convert percentage to decimal

To find a percentage of a number, we first convert the percentage to a decimal by dividing by 100. So, \( 67\% = \frac{67}{100} = 0.67 \).

Step2: Multiply by the number

Now, we multiply this decimal by 180. So, \( 0.67\times180 = 120.6 \).

Second Problem: \( \square\% \) of \( 400 = 104 \)

Step1: Let the percentage be \( x \)

We can write the equation as \( \frac{x}{100}\times400 = 104 \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side: \( \frac{x}{100}\times400=4x \). So, \( 4x = 104 \). Divide both sides by 4: \( x=\frac{104}{4}=26 \).

Third Problem: \( 55\% \) of \( \square = 11 \)

Step1: Let the number be \( y \)

We can write the equation as \( \frac{55}{100}\times y = 11 \).

Step2: Solve for \( y \)

First, simplify \( \frac{55}{100}=0.55 \). Then, \( y=\frac{11}{0.55} = 20 \).

Answer:

For \( 67\% \) of \( 180 \), the answer is \( 120.6 \).

For \( \square\% \) of \( 400 = 104 \), the answer is \( 26 \).

For \( 55\% \) of \( \square = 11 \), the answer is \( 20 \).