39.4 is what percent of 182.94 - 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 182.94 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 182.94, so we can write it down as 100%=182.94.
4. We know, that x% equals 39.4 of the output value, so we can write it down as x%=39.4.
5. Now we have two simple equations:
1) 100%=182.94
2) x%=39.4
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%=182.94/39.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.4 is what percent of 182.94

100%/x%=182.94/39.4
(100/x)*x=(182.94/39.4)*x       - we multiply both sides of the equation by x
100=4.6431472081218*x       - we divide both sides of the equation by (4.6431472081218) to get x
100/4.6431472081218=x
21.537115994315=x
x=21.537115994315

now we have:
39.4 is 21.537115994315% of 182.94