51.13 is what percent of 136.12 - 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 136.12 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 136.12, so we can write it down as 100%=136.12.
4. We know, that x% equals 51.13 of the output value, so we can write it down as x%=51.13.
5. Now we have two simple equations:
1) 100%=136.12
2) x%=51.13
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%=136.12/51.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.13 is what percent of 136.12

100%/x%=136.12/51.13
(100/x)*x=(136.12/51.13)*x       - we multiply both sides of the equation by x
100=2.6622335223939*x       - we divide both sides of the equation by (2.6622335223939) to get x
100/2.6622335223939=x
37.562444901557=x
x=37.562444901557

now we have:
51.13 is 37.562444901557% of 136.12