If A is 50% more than B, then B is what percent of A?

Options

A. `66.66`
B. `33.33`
C. 150
D. 75

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the relationship between A and B
The problem states that A is 50% more than B. This means that A can be expressed in terms of B.

### Step 2: Express A in terms of B
If we let B = 100 (this is a convenient choice to simplify calculations), then we can calculate A as follows:
- A = B + 50% of B
- A = B + (50/100) * B
- A = B + 0.5B
- A = 1.5B

### Step 3: Substitute the value of B
Now, substituting B = 100 into the equation for A:
- A = 1.5 * 100
- A = 150

### Step 4: Find what percent B is of A
Now we need to find out what percent B (which is 100) is of A (which is 150):
- We use the formula: (B/A) * 100
- Substitute the values: (100/150) * 100

### Step 5: Calculate the percentage
Now, we calculate:
- (100/150) * 100 = (100 * 100) / 150 = 10000 / 150 = 66.66%

### Conclusion
Thus, B is 66.66% of A.