Question

Hernando's salary was $45,500 last year. This year, his salary was cut to $36,855. Find the percent change.

Answer 1

Given

Last year salary = $45,500

this year = $36,855

Find

Percentage change

Explanation

We know

`\begin{gathered} Percentage\text{ }change=\frac{change\text{ }in\text{ }salary}{initial\text{ }salary}*100 \\ =(45500-36855)/(45500)*100 \\ =(8645)/(45500)*100 \\ =19\% \end{gathered}`

Final Answer

His salary is reduce by 19%

Answer 2

`-19\%`

Explanation:

Givens

We are given that Hernando's salary last year was $45,500.

This year, his salary is $36,855.

We are asked to find the percent change between the salaries.

Solve

First, divide the salaries to find out the percentage that $36,855 makes up of $45,500:

`\displaystyle (36855)/(45500) = 0.81`

Then, subtract this decimal from 1.00 to find the percent change in decimal form:

`1.00-0.81=0.19`

Finally, multiply the decimal by 100 to find the value in percentage form:

`0.19*100=19\%`

Finally, since this was a decrease in salary, negate the value:

`-19\%`

Therefore, the percent change was -19%.