144.43 is what percent of 378.04 - 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 378.04 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 378.04, so we can write it down as 100%=378.04.
4. We know, that x% equals 144.43 of the output value, so we can write it down as x%=144.43.
5. Now we have two simple equations:
1) 100%=378.04
2) x%=144.43
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%=378.04/144.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.43 is what percent of 378.04

100%/x%=378.04/144.43
(100/x)*x=(378.04/144.43)*x       - we multiply both sides of the equation by x
100=2.6174617461746*x       - we divide both sides of the equation by (2.6174617461746) to get x
100/2.6174617461746=x
38.204951856946=x
x=38.204951856946

now we have:
144.43 is 38.204951856946% of 378.04