137.8 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
4. We know, that x% equals 137.8 of the output value, so we can write it down as x%=137.8.
5. Now we have two simple equations:
1) 100%=160
2) x%=137.8
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%=160/137.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.8 is what percent of 160

100%/x%=160/137.8
(100/x)*x=(160/137.8)*x       - we multiply both sides of the equation by x
100=1.1611030478955*x       - we divide both sides of the equation by (1.1611030478955) to get x
100/1.1611030478955=x
86.125=x
x=86.125

now we have:
137.8 is 86.125% of 160