165.72 is what percent of 443.6 - 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 443.6 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 443.6, so we can write it down as 100%=443.6.
4. We know, that x% equals 165.72 of the output value, so we can write it down as x%=165.72.
5. Now we have two simple equations:
1) 100%=443.6
2) x%=165.72
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%=443.6/165.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.72 is what percent of 443.6

100%/x%=443.6/165.72
(100/x)*x=(443.6/165.72)*x       - we multiply both sides of the equation by x
100=2.6768042481294*x       - we divide both sides of the equation by (2.6768042481294) to get x
100/2.6768042481294=x
37.357980162308=x
x=37.357980162308

now we have:
165.72 is 37.357980162308% of 443.6