57.75 is what percent of 378.94 - 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 378.94 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 378.94, so we can write it down as 100%=378.94.
4. We know, that x% equals 57.75 of the output value, so we can write it down as x%=57.75.
5. Now we have two simple equations:
1) 100%=378.94
2) x%=57.75
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%=378.94/57.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.75 is what percent of 378.94

100%/x%=378.94/57.75
(100/x)*x=(378.94/57.75)*x       - we multiply both sides of the equation by x
100=6.5617316017316*x       - we divide both sides of the equation by (6.5617316017316) to get x
100/6.5617316017316=x
15.239879664327=x
x=15.239879664327

now we have:
57.75 is 15.239879664327% of 378.94