If X is 80% more than Y, then Y is how much percentage less than X?

Options

A. `61.33%`
B. `80%`
C. `33.33%`
D. `44.44%`

Answer

To solve the problem, we need to determine how much percentage less Y is than X, given that X is 80% more than Y.

### Step-by-Step Solution:

1. **Define Y**: Let's assume Y = 100 (this is a convenient choice for calculation).

2. **Calculate X**: Since X is 80% more than Y, we can calculate X as follows:
\[ X = Y + 80\% \text{ of } Y = Y + 0.8Y = 1.8Y \]
Substituting Y = 100:
\[ X = 1.8 \times 100 = 180 \]

3. **Find the difference between X and Y**: Now we need to find how much less Y is than X:
\[ \text{Difference} = X - Y = 180 - 100 = 80 \]

4. **Calculate the percentage less**: To find the percentage by which Y is less than X, we use the formula:
\[ \text{Percentage less} = \left( \frac{\text{Difference}}{X} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage less} = \left( \frac{80}{180} \right) \times 100 \]

5. **Simplify the calculation**:
\[ \text{Percentage less} = \left( \frac{80}{180} \right) \times 100 = \left( \frac{8}{18} \right) \times 100 = \left( \frac{4}{9} \right) \times 100 \approx 44.44\% \]

### Final Answer:
Y is approximately **44.44% less than X**.