58.15 is what percent of 154.95 - 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 154.95 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 154.95, so we can write it down as 100%=154.95.
4. We know, that x% equals 58.15 of the output value, so we can write it down as x%=58.15.
5. Now we have two simple equations:
1) 100%=154.95
2) x%=58.15
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%=154.95/58.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.15 is what percent of 154.95

100%/x%=154.95/58.15
(100/x)*x=(154.95/58.15)*x       - we multiply both sides of the equation by x
100=2.664660361135*x       - we divide both sides of the equation by (2.664660361135) to get x
100/2.664660361135=x
37.528234914489=x
x=37.528234914489

now we have:
58.15 is 37.528234914489% of 154.95