137.96 is what percent of 166 - 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 166 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 166, so we can write it down as 100%=166.
4. We know, that x% equals 137.96 of the output value, so we can write it down as x%=137.96.
5. Now we have two simple equations:
1) 100%=166
2) x%=137.96
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%=166/137.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.96 is what percent of 166

100%/x%=166/137.96
(100/x)*x=(166/137.96)*x       - we multiply both sides of the equation by x
100=1.2032473180632*x       - we divide both sides of the equation by (1.2032473180632) to get x
100/1.2032473180632=x
83.10843373494=x
x=83.10843373494

now we have:
137.96 is 83.10843373494% of 166