30.38 is what percent of 86.8 - 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 86.8 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 86.8, so we can write it down as 100%=86.8.
4. We know, that x% equals 30.38 of the output value, so we can write it down as x%=30.38.
5. Now we have two simple equations:
1) 100%=86.8
2) x%=30.38
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%=86.8/30.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.38 is what percent of 86.8

100%/x%=86.8/30.38
(100/x)*x=(86.8/30.38)*x       - we multiply both sides of the equation by x
100=2.8571428571429*x       - we divide both sides of the equation by (2.8571428571429) to get x
100/2.8571428571429=x
35=x
x=35

now we have:
30.38 is 35% of 86.8