3.4 is what percent of 137.2 - 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 137.2 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 137.2, so we can write it down as 100%=137.2.
4. We know, that x% equals 3.4 of the output value, so we can write it down as x%=3.4.
5. Now we have two simple equations:
1) 100%=137.2
2) x%=3.4
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%=137.2/3.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 137.2

100%/x%=137.2/3.4
(100/x)*x=(137.2/3.4)*x       - we multiply both sides of the equation by x
100=40.352941176471*x       - we divide both sides of the equation by (40.352941176471) to get x
100/40.352941176471=x
2.4781341107872=x
x=2.4781341107872

now we have:
3.4 is 2.4781341107872% of 137.2