139.2 is what percent of 162.4 - 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 162.4 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 162.4, so we can write it down as 100%=162.4.
4. We know, that x% equals 139.2 of the output value, so we can write it down as x%=139.2.
5. Now we have two simple equations:
1) 100%=162.4
2) x%=139.2
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%=162.4/139.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.2 is what percent of 162.4

100%/x%=162.4/139.2
(100/x)*x=(162.4/139.2)*x       - we multiply both sides of the equation by x
100=1.1666666666667*x       - we divide both sides of the equation by (1.1666666666667) to get x
100/1.1666666666667=x
85.714285714286=x
x=85.714285714286

now we have:
139.2 is 85.714285714286% of 162.4