To determine what percent [tex]$180.00 is greater than $[/tex]135.00, follow these steps:
1. Find the difference between the two amounts:
Calculate the difference between [tex]$180.00 and $[/tex]135.00.
[tex]\[
\text{Difference} = 180.00 - 135.00 = 45.00
\][/tex]
2. Calculate the percentage increase:
To find what percent [tex]$45.00 is of the initial amount of $[/tex]135.00, use the formula for percentage increase:
[tex]\[
\text{Percentage Increase} = \left( \frac{\text{Difference}}{\text{Initial Amount}} \right) \times 100
\][/tex]
Plugging in the values gives:
[tex]\[
\text{Percentage Increase} = \left( \frac{45.00}{135.00} \right) \times 100
\][/tex]
3. Compute the fraction:
Divide 45.00 by 135.00:
[tex]\[
\frac{45.00}{135.00} = \frac{1}{3} \approx 0.3333
\][/tex]
4. Convert the fraction to a percentage:
Multiply by 100 to convert the decimal into a percentage:
[tex]\[
0.3333 \times 100 = 33.33\%
\][/tex]
Thus, [tex]$180.00 is approximately 33.33% greater than $[/tex]135.00. The answer is:
C. 33.33%
