163.12 is what percent of 435 - 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 435 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 435, so we can write it down as 100%=435.
4. We know, that x% equals 163.12 of the output value, so we can write it down as x%=163.12.
5. Now we have two simple equations:
1) 100%=435
2) x%=163.12
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%=435/163.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.12 is what percent of 435

100%/x%=435/163.12
(100/x)*x=(435/163.12)*x       - we multiply both sides of the equation by x
100=2.6667484060814*x       - we divide both sides of the equation by (2.6667484060814) to get x
100/2.6667484060814=x
37.498850574713=x
x=37.498850574713

now we have:
163.12 is 37.498850574713% of 435