Answer the following questions. $$ \begin{array}{l}\text { (a) } 186 \% \text { of what is } 56.73 \text { ? } \ \text { (b) What number is } 26.8 \% \text { of } 67.5 ?\end{array} $$

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To solve these problems, we will use the formula for finding a percentage of a number:

$$ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 $$

Let's solve each part separately:

### Part (a):
Given:
- Percentage: 186%
- Part: 56.73

We need to find the Whole.

Using the formula:
$$ \text{Whole} = \frac{\text{Part}}{\text{Percentage}} \times 100 $$

Substitute the given values:
$$ \text{Whole} = \frac{56.73}{186} \times 100 $$

Now, we can calculate the Whole.

### Part (b):
Given:
- Percentage: 26.8%
- Whole: 67.5

We need to find the Part.

Using the formula:
$$ \text{Part} = \frac{\text{Percentage}}{100} \times \text{Whole} $$

Substitute the given values:
$$ \text{Part} = \frac{26.8}{100} \times 67.5 $$

Now, we can calculate the Part.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{56.73}{186}\times 100$$
- step1: Divide the terms:
  $$\frac{61}{200}\times 100$$
- step2: Reduce the numbers:
  $$\frac{61}{2}$$
Calculate or simplify the expression $$ 26.8/100*67.5 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{26.8}{100}\times 67.5$$
- step1: Divide the terms:
  $$\frac{67}{250}\times 67.5$$
- step2: Convert the expressions:
  $$\frac{67}{250}\times \frac{135}{2}$$
- step3: Multiply the numbers:
  $$\frac{1809}{100}$$
### Answers:
(a) 186% of what is 56.73 is 30.5.
(b) 26.8% of 67.5 is 18.09.
(a) 186% of 30.5 is 56.73. (b) 26.8% of 67.5 is 18.09.

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