137.23 is what percent of 253.62 - 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 253.62 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 253.62, so we can write it down as 100%=253.62.
4. We know, that x% equals 137.23 of the output value, so we can write it down as x%=137.23.
5. Now we have two simple equations:
1) 100%=253.62
2) x%=137.23
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%=253.62/137.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.23 is what percent of 253.62

100%/x%=253.62/137.23
(100/x)*x=(253.62/137.23)*x       - we multiply both sides of the equation by x
100=1.8481381622094*x       - we divide both sides of the equation by (1.8481381622094) to get x
100/1.8481381622094=x
54.108508792682=x
x=54.108508792682

now we have:
137.23 is 54.108508792682% of 253.62