What is 18.5 percent of 1166.5 - 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 1166.5 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 1166.5 is 100%, so we can write it down as 1166.5=100%.
4. We know, that x is 18.5% of the output value, so we can write it down as x=18.5%.
5. Now we have two simple equations:
1) 1166.5=100%
2) x=18.5%
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:
1166.5/x=100%/18.5%
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 18.5% of 1166.5

1166.5/x=100/18.5
(1166.5/x)*x=(100/18.5)*x       - we multiply both sides of the equation by x
1166.5=5.4054054054054*x       - we divide both sides of the equation by (5.4054054054054) to get x
1166.5/5.4054054054054=x
215.8025=x
x=215.8025

now we have:
18.5% of 1166.5=215.8025