35.2 is what percent of 512 - 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 512 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 512, so we can write it down as 100%=512.
4. We know, that x% equals 35.2 of the output value, so we can write it down as x%=35.2.
5. Now we have two simple equations:
1) 100%=512
2) x%=35.2
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%=512/35.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.2 is what percent of 512

100%/x%=512/35.2
(100/x)*x=(512/35.2)*x       - we multiply both sides of the equation by x
100=14.545454545455*x       - we divide both sides of the equation by (14.545454545455) to get x
100/14.545454545455=x
6.875=x
x=6.875

now we have:
35.2 is 6.875% of 512