39.68 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 39.68 of the output value, so we can write it down as x%=39.68.
5. Now we have two simple equations:
1) 100%=350
2) x%=39.68
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%=350/39.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.68 is what percent of 350

100%/x%=350/39.68
(100/x)*x=(350/39.68)*x       - we multiply both sides of the equation by x
100=8.820564516129*x       - we divide both sides of the equation by (8.820564516129) to get x
100/8.820564516129=x
11.337142857143=x
x=11.337142857143

now we have:
39.68 is 11.337142857143% of 350