138.92 is what percent of 1337 - 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 1337 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 1337, so we can write it down as 100%=1337.
4. We know, that x% equals 138.92 of the output value, so we can write it down as x%=138.92.
5. Now we have two simple equations:
1) 100%=1337
2) x%=138.92
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%=1337/138.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.92 is what percent of 1337

100%/x%=1337/138.92
(100/x)*x=(1337/138.92)*x       - we multiply both sides of the equation by x
100=9.6242441693061*x       - we divide both sides of the equation by (9.6242441693061) to get x
100/9.6242441693061=x
10.390426327599=x
x=10.390426327599

now we have:
138.92 is 10.390426327599% of 1337