A is `75%` of B than B is what percent of A?

Options

A. a)125%
B. b)133.3%
C. c)100%
D. d)150%

Answer

To solve the problem step by step, let's start with the information given:

1. **Understanding the relationship**: We know that A is 75% of B. This can be expressed mathematically as:
\[ A = 0.75 \times B \]

2. **Rearranging the equation**: We want to find out what percent B is of A. To do this, we can rearrange the equation to express B in terms of A:
\[ B = \frac{A}{0.75} \]

3. **Simplifying the fraction**: We can simplify \(\frac{A}{0.75}\):
\[ B = \frac{A}{\frac{75}{100}} = A \times \frac{100}{75} = A \times \frac{4}{3} \]

4. **Finding the percentage**: Now, we need to express B as a percentage of A. Since we have \(B = \frac{4}{3} A\), we can express this as:
\[ B = \frac{4}{3} \times A \]
To convert this into a percentage, we multiply by 100%:
\[ B = \frac{4}{3} \times 100\% = \frac{400}{3}\% \]

5. **Calculating the final value**: Now, we can calculate \(\frac{400}{3}\):
\[ \frac{400}{3} \approx 133.33\% \]

Thus, B is approximately 133.33% of A.

### Final Answer:
B is 133.33% of A.