137.76 is what percent of 291.6 - 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 291.6 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 291.6, so we can write it down as 100%=291.6.
4. We know, that x% equals 137.76 of the output value, so we can write it down as x%=137.76.
5. Now we have two simple equations:
1) 100%=291.6
2) x%=137.76
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%=291.6/137.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.76 is what percent of 291.6

100%/x%=291.6/137.76
(100/x)*x=(291.6/137.76)*x       - we multiply both sides of the equation by x
100=2.116724738676*x       - we divide both sides of the equation by (2.116724738676) to get x
100/2.116724738676=x
47.242798353909=x
x=47.242798353909

now we have:
137.76 is 47.242798353909% of 291.6