Question

answer the following questions.
(a) what percent of 27.5 is 17.16?
(b) 419% of what number is 33.52?

Explanation:

Step1: Set up percentage formula (a)

Let $p$ = the unknown percent. The formula is $p = \frac{17.16}{27.5} \times 100\%$

Step2: Calculate value for (a)

$p = 0.624 \times 100\% = 62.4\%$

Step3: Set up unknown number formula (b)

Let $x$ = the unknown number. Convert 419% to decimal: $4.19$. Formula: $4.19x = 33.52$

Step4: Solve for $x$ (b)

$x = \frac{33.52}{4.19} = 8$

Answer:

(a) $62.4\%$
(b) $8$