130.27 is what percent of 372.2 - 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 372.2 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 372.2, so we can write it down as 100%=372.2.
4. We know, that x% equals 130.27 of the output value, so we can write it down as x%=130.27.
5. Now we have two simple equations:
1) 100%=372.2
2) x%=130.27
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%=372.2/130.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.27 is what percent of 372.2

100%/x%=372.2/130.27
(100/x)*x=(372.2/130.27)*x       - we multiply both sides of the equation by x
100=2.8571428571429*x       - we divide both sides of the equation by (2.8571428571429) to get x
100/2.8571428571429=x
35=x
x=35

now we have:
130.27 is 35% of 372.2