169.58 is what percent of 315 - 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 315 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 315, so we can write it down as 100%=315.
4. We know, that x% equals 169.58 of the output value, so we can write it down as x%=169.58.
5. Now we have two simple equations:
1) 100%=315
2) x%=169.58
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%=315/169.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.58 is what percent of 315

100%/x%=315/169.58
(100/x)*x=(315/169.58)*x       - we multiply both sides of the equation by x
100=1.8575303691473*x       - we divide both sides of the equation by (1.8575303691473) to get x
100/1.8575303691473=x
53.834920634921=x
x=53.834920634921

now we have:
169.58 is 53.834920634921% of 315