3.1 is what percent of 106.4 - 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 106.4 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 106.4, so we can write it down as 100%=106.4.
4. We know, that x% equals 3.1 of the output value, so we can write it down as x%=3.1.
5. Now we have two simple equations:
1) 100%=106.4
2) x%=3.1
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%=106.4/3.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.1 is what percent of 106.4

100%/x%=106.4/3.1
(100/x)*x=(106.4/3.1)*x       - we multiply both sides of the equation by x
100=34.322580645161*x       - we divide both sides of the equation by (34.322580645161) to get x
100/34.322580645161=x
2.9135338345865=x
x=2.9135338345865

now we have:
3.1 is 2.9135338345865% of 106.4