`88.25% "of" 450=? % "of" 530`

Options

A. 70
B. 68
C. 75
D. 80

Explanation

To solve the question `88.25% of 450 = x% of 530`, we will follow these steps:

### Step 1: Convert the percentage to a simpler form
First, we can round off 88.25% to 88% for easier calculations.

### Step 2: Set up the equation
We can express the equation as:
\[ 88\% \text{ of } 450 = x\% \text{ of } 530 \]
This can be written mathematically as:
\[ \frac{88}{100} \times 450 = \frac{x}{100} \times 530 \]

### Step 3: Simplify the equation
We can eliminate the percentage by multiplying both sides by 100:
\[ 88 \times 450 = x \times 530 \]

### Step 4: Calculate \(88 \times 450\)
Now, we calculate \(88 \times 450\):
\[ 88 \times 450 = 39600 \]

### Step 5: Rearrange to find \(x\)
Now we can rearrange the equation to solve for \(x\):
\[ x = \frac{39600}{530} \]

### Step 6: Perform the division
Now, we perform the division:
\[ x \approx 74.8 \]

### Step 7: Round off the result
Since we need a percentage, we can round \(74.8\) to \(75\).

### Final Answer
Thus, the final answer is:
\[ x \approx 75 \]

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