185.5 is what percent of 402.5 - 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 402.5 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 100% equals 402.5, so we can write it down as 100%=402.5.
4. We know, that x% equals 185.5 of the output value, so we can write it down as x%=185.5.
5. Now we have two simple equations:
1) 100%=402.5
2) x%=185.5
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:
100%/x%=402.5/185.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.5 is what percent of 402.5

100%/x%=402.5/185.5
(100/x)*x=(402.5/185.5)*x       - we multiply both sides of the equation by x
100=2.1698113207547*x       - we divide both sides of the equation by (2.1698113207547) to get x
100/2.1698113207547=x
46.086956521739=x
x=46.086956521739

now we have:
185.5 is 46.086956521739% of 402.5