53% of a number is 2067. What is 81% of that number?

Options

A. 2819
B. 3059
C. 3159
D. 2799

Answer

To solve the problem step-by-step, we need to find the number first and then calculate 81% of that number.

### Step 1: Set up the equation
Let the unknown number be \( x \). According to the problem, 53% of \( x \) is equal to 2067. We can express this mathematically as:
\[ 0.53x = 2067 \]

**Hint**: Remember that "percent" means "per hundred," so 53% can be converted to a decimal by dividing by 100.

### Step 2: Solve for \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 0.53:
\[ x = \frac{2067}{0.53} \]

**Hint**: When dividing, make sure to perform the calculation carefully to avoid errors.

### Step 3: Calculate \( x \)
Now we perform the division:
\[ x = \frac{2067}{0.53} \approx 3900 \]

**Hint**: You can use a calculator for this division to ensure accuracy.

### Step 4: Find 81% of \( x \)
Now that we have \( x \), we need to calculate 81% of this number:
\[ 81\% \text{ of } x = 0.81 \times 3900 \]

**Hint**: Again, convert the percentage to a decimal by dividing by 100.

### Step 5: Calculate 81% of \( x \)
Now we perform the multiplication:
\[ 0.81 \times 3900 = 3159 \]

**Hint**: Double-check your multiplication to ensure you have the correct final answer.

### Final Answer
Thus, 81% of the number is:
\[ \boxed{3159} \]