3.02 is what percent of 117.8 - 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 117.8 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 117.8, so we can write it down as 100%=117.8.
4. We know, that x% equals 3.02 of the output value, so we can write it down as x%=3.02.
5. Now we have two simple equations:
1) 100%=117.8
2) x%=3.02
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%=117.8/3.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.02 is what percent of 117.8

100%/x%=117.8/3.02
(100/x)*x=(117.8/3.02)*x       - we multiply both sides of the equation by x
100=39.006622516556*x       - we divide both sides of the equation by (39.006622516556) to get x
100/39.006622516556=x
2.5636672325976=x
x=2.5636672325976

now we have:
3.02 is 2.5636672325976% of 117.8