114.89 is what percent of 160.85 - 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 160.85 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 160.85, so we can write it down as 100%=160.85.
4. We know, that x% equals 114.89 of the output value, so we can write it down as x%=114.89.
5. Now we have two simple equations:
1) 100%=160.85
2) x%=114.89
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%=160.85/114.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.89 is what percent of 160.85

100%/x%=160.85/114.89
(100/x)*x=(160.85/114.89)*x       - we multiply both sides of the equation by x
100=1.4000348159109*x       - we divide both sides of the equation by (1.4000348159109) to get x
100/1.4000348159109=x
71.426795150762=x
x=71.426795150762

now we have:
114.89 is 71.426795150762% of 160.85