Canadian Forces Aptitude Test (CFAT) Practice

What percentage does 45 represent of 135?

1. 25%

2. 33%

3. 40%

4. 50%

The correct answer is: 33%

To determine what percentage 45 represents of 135, you can use the formula for calculating a percentage. The formula is: \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \] In this case, the "Part" is 45 and the "Whole" is 135. Plugging these values into the formula gives: \[ \text{Percentage} = \left( \frac{45}{135} \right) \times 100 \] First, simplify the fraction \( \frac{45}{135} \). Both numbers can be divided by 45: \[ \frac{45}{135} = \frac{1}{3} \] Next, convert this fraction into a percentage: \[ \frac{1}{3} \approx 0.3333 \] Now, multiply by 100 to convert it into a percentage: \[ 0.3333 \times 100 = 33.33\% \] Rounding this to the nearest whole number gives approximately 33%, which corresponds with the answer option indicating 33%. Thus, the reasoning confirms that 45 is