139.56 is what percent of 365.98 - 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 365.98 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 365.98, so we can write it down as 100%=365.98.
4. We know, that x% equals 139.56 of the output value, so we can write it down as x%=139.56.
5. Now we have two simple equations:
1) 100%=365.98
2) x%=139.56
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%=365.98/139.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.56 is what percent of 365.98

100%/x%=365.98/139.56
(100/x)*x=(365.98/139.56)*x       - we multiply both sides of the equation by x
100=2.6223846374319*x       - we divide both sides of the equation by (2.6223846374319) to get x
100/2.6223846374319=x
38.133231324116=x
x=38.133231324116

now we have:
139.56 is 38.133231324116% of 365.98