One-third of 1206 is what percent of 134? A. 3     B. 30    C. 300     D. None of these

1. Break Down the Problem

We need to find one-third of 1206 and determine what percentage that is of 134.

2. Relevant Concepts

• To find one-third of a number, we divide the number by 3: $\text{One-third of } 1206 = \frac{1206}{3}$
• To find what percentage one number is of another, we use the formula: $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100$ where "Part" is one-third of 1206 and "Whole" is 134.

3. Analysis and Detail

1. Calculate one-third of 1206: $\frac{1206}{3} = 402$

2. Now, calculate what percentage 402 is of 134: $\text{Percentage} = \left(\frac{402}{134}\right) \times 100$

3. Perform the division: $\frac{402}{134} \approx 3$

4. Multiply by 100 to find the percentage: $3 \times 100 = 300$

4. Verify and Summarize

The calculations confirm that one-third of 1206 is indeed 402. When comparing this to 134, the percentage is correctly calculated as approximately 300%.

Final Answer

One-third of 1206 is 300% of 134, so the answer is C. 300.