163.57 is what percent of 363 - 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 363 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 363, so we can write it down as 100%=363.
4. We know, that x% equals 163.57 of the output value, so we can write it down as x%=163.57.
5. Now we have two simple equations:
1) 100%=363
2) x%=163.57
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%=363/163.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.57 is what percent of 363

100%/x%=363/163.57
(100/x)*x=(363/163.57)*x       - we multiply both sides of the equation by x
100=2.2192333557498*x       - we divide both sides of the equation by (2.2192333557498) to get x
100/2.2192333557498=x
45.060606060606=x
x=45.060606060606

now we have:
163.57 is 45.060606060606% of 363