94.88 is what percent of 160 - 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 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, so we can write it down as 100%=160.
4. We know, that x% equals 94.88 of the output value, so we can write it down as x%=94.88.
5. Now we have two simple equations:
1) 100%=160
2) x%=94.88
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%=160/94.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.88 is what percent of 160

100%/x%=160/94.88
(100/x)*x=(160/94.88)*x       - we multiply both sides of the equation by x
100=1.6863406408094*x       - we divide both sides of the equation by (1.6863406408094) to get x
100/1.6863406408094=x
59.3=x
x=59.3

now we have:
94.88 is 59.3% of 160