515.5 is what percent of 371.16 - 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 371.16 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 371.16, so we can write it down as 100%=371.16.
4. We know, that x% equals 515.5 of the output value, so we can write it down as x%=515.5.
5. Now we have two simple equations:
1) 100%=371.16
2) x%=515.5
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%=371.16/515.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.5 is what percent of 371.16

100%/x%=371.16/515.5
(100/x)*x=(371.16/515.5)*x       - we multiply both sides of the equation by x
100=0.72*x       - we divide both sides of the equation by (0.72) to get x
100/0.72=x
138.88888888889=x
x=138.88888888889

now we have:
515.5 is 138.88888888889% of 371.16