130.07 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 130.07 of the output value, so we can write it down as x%=130.07.
5. Now we have two simple equations:
1) 100%=350
2) x%=130.07
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%=350/130.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.07 is what percent of 350

100%/x%=350/130.07
(100/x)*x=(350/130.07)*x       - we multiply both sides of the equation by x
100=2.6908587683555*x       - we divide both sides of the equation by (2.6908587683555) to get x
100/2.6908587683555=x
37.162857142857=x
x=37.162857142857

now we have:
130.07 is 37.162857142857% of 350