57.26 is what percent of 378 - 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 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, so we can write it down as 100%=378.
4. We know, that x% equals 57.26 of the output value, so we can write it down as x%=57.26.
5. Now we have two simple equations:
1) 100%=378
2) x%=57.26
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%=378/57.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.26 is what percent of 378

100%/x%=378/57.26
(100/x)*x=(378/57.26)*x       - we multiply both sides of the equation by x
100=6.601466992665*x       - we divide both sides of the equation by (6.601466992665) to get x
100/6.601466992665=x
15.148148148148=x
x=15.148148148148

now we have:
57.26 is 15.148148148148% of 378