163.7 is what percent of 409.2 - 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 409.2 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 409.2, so we can write it down as 100%=409.2.
4. We know, that x% equals 163.7 of the output value, so we can write it down as x%=163.7.
5. Now we have two simple equations:
1) 100%=409.2
2) x%=163.7
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%=409.2/163.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.7 is what percent of 409.2

100%/x%=409.2/163.7
(100/x)*x=(409.2/163.7)*x       - we multiply both sides of the equation by x
100=2.4996945632254*x       - we divide both sides of the equation by (2.4996945632254) to get x
100/2.4996945632254=x
40.004887585533=x
x=40.004887585533

now we have:
163.7 is 40.004887585533% of 409.2