39.4 is what percent of 67.6 - 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 67.6 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 67.6, so we can write it down as 100%=67.6.
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%=67.6
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%=67.6/39.4
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 67.6

100%/x%=67.6/39.4
(100/x)*x=(67.6/39.4)*x       - we multiply both sides of the equation by x
100=1.7157360406091*x       - we divide both sides of the equation by (1.7157360406091) to get x
100/1.7157360406091=x
58.284023668639=x
x=58.284023668639

now we have:
39.4 is 58.284023668639% of 67.6