160.95 is what percent of 1137.57 - 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 1137.57 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 1137.57, so we can write it down as 100%=1137.57.
4. We know, that x% equals 160.95 of the output value, so we can write it down as x%=160.95.
5. Now we have two simple equations:
1) 100%=1137.57
2) x%=160.95
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%=1137.57/160.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.95 is what percent of 1137.57

100%/x%=1137.57/160.95
(100/x)*x=(1137.57/160.95)*x       - we multiply both sides of the equation by x
100=7.0678471575023*x       - we divide both sides of the equation by (7.0678471575023) to get x
100/7.0678471575023=x
14.148579867613=x
x=14.148579867613

now we have:
160.95 is 14.148579867613% of 1137.57