11142.31 is what percent of 45855 - 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 45855 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 45855, so we can write it down as 100%=45855.
4. We know, that x% equals 11142.31 of the output value, so we can write it down as x%=11142.31.
5. Now we have two simple equations:
1) 100%=45855
2) x%=11142.31
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%=45855/11142.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11142.31 is what percent of 45855

100%/x%=45855/11142.31
(100/x)*x=(45855/11142.31)*x       - we multiply both sides of the equation by x
100=4.1153943841089*x       - we divide both sides of the equation by (4.1153943841089) to get x
100/4.1153943841089=x
24.299007741795=x
x=24.299007741795

now we have:
11142.31 is 24.299007741795% of 45855