137.9 is what percent of 190.9 - 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 190.9 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 190.9, so we can write it down as 100%=190.9.
4. We know, that x% equals 137.9 of the output value, so we can write it down as x%=137.9.
5. Now we have two simple equations:
1) 100%=190.9
2) x%=137.9
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%=190.9/137.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.9 is what percent of 190.9

100%/x%=190.9/137.9
(100/x)*x=(190.9/137.9)*x       - we multiply both sides of the equation by x
100=1.384336475707*x       - we divide both sides of the equation by (1.384336475707) to get x
100/1.384336475707=x
72.236773179675=x
x=72.236773179675

now we have:
137.9 is 72.236773179675% of 190.9