139.12 is what percent of 339.12 - 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 339.12 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 339.12, so we can write it down as 100%=339.12.
4. We know, that x% equals 139.12 of the output value, so we can write it down as x%=139.12.
5. Now we have two simple equations:
1) 100%=339.12
2) x%=139.12
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%=339.12/139.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.12 is what percent of 339.12

100%/x%=339.12/139.12
(100/x)*x=(339.12/139.12)*x       - we multiply both sides of the equation by x
100=2.4376078205865*x       - we divide both sides of the equation by (2.4376078205865) to get x
100/2.4376078205865=x
41.023826374145=x
x=41.023826374145

now we have:
139.12 is 41.023826374145% of 339.12