160.58 is what percent of 157.92 - 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 157.92 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 157.92, so we can write it down as 100%=157.92.
4. We know, that x% equals 160.58 of the output value, so we can write it down as x%=160.58.
5. Now we have two simple equations:
1) 100%=157.92
2) x%=160.58
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%=157.92/160.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.58 is what percent of 157.92

100%/x%=157.92/160.58
(100/x)*x=(157.92/160.58)*x       - we multiply both sides of the equation by x
100=0.98343504795118*x       - we divide both sides of the equation by (0.98343504795118) to get x
100/0.98343504795118=x
101.68439716312=x
x=101.68439716312

now we have:
160.58 is 101.68439716312% of 157.92