162.02 is what percent of 443.06 - 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 443.06 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 443.06, so we can write it down as 100%=443.06.
4. We know, that x% equals 162.02 of the output value, so we can write it down as x%=162.02.
5. Now we have two simple equations:
1) 100%=443.06
2) x%=162.02
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%=443.06/162.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.02 is what percent of 443.06

100%/x%=443.06/162.02
(100/x)*x=(443.06/162.02)*x       - we multiply both sides of the equation by x
100=2.7346006665844*x       - we divide both sides of the equation by (2.7346006665844) to get x
100/2.7346006665844=x
36.568410599016=x
x=36.568410599016

now we have:
162.02 is 36.568410599016% of 443.06