188.2 is what percent of 355.9 - 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 355.9 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 355.9, so we can write it down as 100%=355.9.
4. We know, that x% equals 188.2 of the output value, so we can write it down as x%=188.2.
5. Now we have two simple equations:
1) 100%=355.9
2) x%=188.2
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%=355.9/188.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.2 is what percent of 355.9

100%/x%=355.9/188.2
(100/x)*x=(355.9/188.2)*x       - we multiply both sides of the equation by x
100=1.8910733262487*x       - we divide both sides of the equation by (1.8910733262487) to get x
100/1.8910733262487=x
52.880022478224=x
x=52.880022478224

now we have:
188.2 is 52.880022478224% of 355.9