168.77 is what percent of 3130 - 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 3130 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 3130, so we can write it down as 100%=3130.
4. We know, that x% equals 168.77 of the output value, so we can write it down as x%=168.77.
5. Now we have two simple equations:
1) 100%=3130
2) x%=168.77
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%=3130/168.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.77 is what percent of 3130

100%/x%=3130/168.77
(100/x)*x=(3130/168.77)*x       - we multiply both sides of the equation by x
100=18.545950109617*x       - we divide both sides of the equation by (18.545950109617) to get x
100/18.545950109617=x
5.3920127795527=x
x=5.3920127795527

now we have:
168.77 is 5.3920127795527% of 3130