162.24 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 162.24 of the output value, so we can write it down as x%=162.24.
5. Now we have two simple equations:
1) 100%=165
2) x%=162.24
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%=165/162.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.24 is what percent of 165

100%/x%=165/162.24
(100/x)*x=(165/162.24)*x       - we multiply both sides of the equation by x
100=1.0170118343195*x       - we divide both sides of the equation by (1.0170118343195) to get x
100/1.0170118343195=x
98.327272727273=x
x=98.327272727273

now we have:
162.24 is 98.327272727273% of 165