94.18 is what percent of 380.96 - 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 380.96 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 380.96, so we can write it down as 100%=380.96.
4. We know, that x% equals 94.18 of the output value, so we can write it down as x%=94.18.
5. Now we have two simple equations:
1) 100%=380.96
2) x%=94.18
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%=380.96/94.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.18 is what percent of 380.96

100%/x%=380.96/94.18
(100/x)*x=(380.96/94.18)*x       - we multiply both sides of the equation by x
100=4.0450201741346*x       - we divide both sides of the equation by (4.0450201741346) to get x
100/4.0450201741346=x
24.721755564889=x
x=24.721755564889

now we have:
94.18 is 24.721755564889% of 380.96