168.05 is what percent of 1126.29 - 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 1126.29 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 1126.29, so we can write it down as 100%=1126.29.
4. We know, that x% equals 168.05 of the output value, so we can write it down as x%=168.05.
5. Now we have two simple equations:
1) 100%=1126.29
2) x%=168.05
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%=1126.29/168.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.05 is what percent of 1126.29

100%/x%=1126.29/168.05
(100/x)*x=(1126.29/168.05)*x       - we multiply both sides of the equation by x
100=6.7021124665278*x       - we divide both sides of the equation by (6.7021124665278) to get x
100/6.7021124665278=x
14.920668744284=x
x=14.920668744284

now we have:
168.05 is 14.920668744284% of 1126.29