80 is what percent of 185.715 - 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 185.715 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 100% equals 185.715, so we can write it down as 100%=185.715.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=185.715
2) x%=80
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:
100%/x%=185.715/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 185.715

100%/x%=185.715/80
(100/x)*x=(185.715/80)*x       - we multiply both sides of the equation by x
100=2.3214375*x       - we divide both sides of the equation by (2.3214375) to get x
100/2.3214375=x
43.076757397087=x
x=43.076757397087

now we have:
80 is 43.076757397087% of 185.715