What is 27.5 percent of 40.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 40.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 40.5 is 100%, so we can write it down as 40.5=100%.
4. We know, that x is 27.5% of the output value, so we can write it down as x=27.5%.
5. Now we have two simple equations:
1) 40.5=100%
2) x=27.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
40.5/x=100%/27.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 27.5% of 40.5

40.5/x=100/27.5
(40.5/x)*x=(100/27.5)*x       - we multiply both sides of the equation by x
40.5=3.6363636363636*x       - we divide both sides of the equation by (3.6363636363636) to get x
40.5/3.6363636363636=x
11.1375=x
x=11.1375

now we have:
27.5% of 40.5=11.1375