37.9 is what percent of 163.75 - 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 163.75 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 163.75, so we can write it down as 100%=163.75.
4. We know, that x% equals 37.9 of the output value, so we can write it down as x%=37.9.
5. Now we have two simple equations:
1) 100%=163.75
2) x%=37.9
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%=163.75/37.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.9 is what percent of 163.75

100%/x%=163.75/37.9
(100/x)*x=(163.75/37.9)*x       - we multiply both sides of the equation by x
100=4.320580474934*x       - we divide both sides of the equation by (4.320580474934) to get x
100/4.320580474934=x
23.145038167939=x
x=23.145038167939

now we have:
37.9 is 23.145038167939% of 163.75