Question

The amount of $\$ 180.00$ is what percent greater than $\$ 135.00$ ?

Answer 1

Hint: In this question, we have to find the percent by which $\$ 180.00$ is greater than $\$ 135.00$ .
So, for that, we will first subtract $\$ 180.00$ and $\$ 135.00$ , then divide the difference by $\$ 135.00$ and then convert it into a percentage by multiplying it by $100$ .

Complete step by step solution:
Given amounts $\$ 180.00$ and $\$ 135.00$ .
To find the percent by which $\$ 180.00$ is greater than $\$ 135.00$ .
First, we will subtract the given amounts $\$ 180.00$ and $\$ 135.00$ , which gives $180 - 135$ , i.e., $45$ .
Now, divide this difference by $\$ 135.00$ , we get, $\dfrac{{45}}{{135}}$ , converting into decimal, we get, $0.3333...$ .
Since it is a non terminating decimal, so we will round- off this number, we get, $0.3334$ .
Now, to convert it into a percentage, multiply this number by $100$ , i.e., $0.3334 \times 100$ , which shifts the decimal towards the right side by two terms, $33.34\% $ .
Hence, the percent by which $\$ 180.00$ is greater than $\$ 135.00$ is $33.34\% $ .

Note: We have done subtraction in this question to find the number by which $\$ 180.00$ is greater than $\$ 135.00$ , and then to find the percentage we have multiplied it by $100$ .
One must know, to convert into percentage we multiply the number by $100$ , while, to remove the percentage sign or to convert the percent into a fraction or decimal, we divide the number by $100$ .
One needs to know the basics of algebra in fractions and decimals very well to solve equations that are formed in this question.