465.12 is what percent of 323 - 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 323 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 323, so we can write it down as 100%=323.
4. We know, that x% equals 465.12 of the output value, so we can write it down as x%=465.12.
5. Now we have two simple equations:
1) 100%=323
2) x%=465.12
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%=323/465.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.12 is what percent of 323

100%/x%=323/465.12
(100/x)*x=(323/465.12)*x       - we multiply both sides of the equation by x
100=0.69444444444444*x       - we divide both sides of the equation by (0.69444444444444) to get x
100/0.69444444444444=x
144=x
x=144

now we have:
465.12 is 144% of 323