162.25 is what percent of 218.5 - 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 218.5 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 218.5, so we can write it down as 100%=218.5.
4. We know, that x% equals 162.25 of the output value, so we can write it down as x%=162.25.
5. Now we have two simple equations:
1) 100%=218.5
2) x%=162.25
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%=218.5/162.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.25 is what percent of 218.5

100%/x%=218.5/162.25
(100/x)*x=(218.5/162.25)*x       - we multiply both sides of the equation by x
100=1.346687211094*x       - we divide both sides of the equation by (1.346687211094) to get x
100/1.346687211094=x
74.256292906178=x
x=74.256292906178

now we have:
162.25 is 74.256292906178% of 218.5