36707.4 is what percent of 155875.75 - 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 155875.75 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 155875.75, so we can write it down as 100%=155875.75.
4. We know, that x% equals 36707.4 of the output value, so we can write it down as x%=36707.4.
5. Now we have two simple equations:
1) 100%=155875.75
2) x%=36707.4
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%=155875.75/36707.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36707.4 is what percent of 155875.75

100%/x%=155875.75/36707.4
(100/x)*x=(155875.75/36707.4)*x       - we multiply both sides of the equation by x
100=4.2464394100372*x       - we divide both sides of the equation by (4.2464394100372) to get x
100/4.2464394100372=x
23.549140902289=x
x=23.549140902289

now we have:
36707.4 is 23.549140902289% of 155875.75