158.2 is what percent of 307.7 - 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 307.7 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 307.7, so we can write it down as 100%=307.7.
4. We know, that x% equals 158.2 of the output value, so we can write it down as x%=158.2.
5. Now we have two simple equations:
1) 100%=307.7
2) x%=158.2
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%=307.7/158.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.2 is what percent of 307.7

100%/x%=307.7/158.2
(100/x)*x=(307.7/158.2)*x       - we multiply both sides of the equation by x
100=1.9450063211125*x       - we divide both sides of the equation by (1.9450063211125) to get x
100/1.9450063211125=x
51.413714657134=x
x=51.413714657134

now we have:
158.2 is 51.413714657134% of 307.7