108.26 is what percent of 162.38 - 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 162.38 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 162.38, so we can write it down as 100%=162.38.
4. We know, that x% equals 108.26 of the output value, so we can write it down as x%=108.26.
5. Now we have two simple equations:
1) 100%=162.38
2) x%=108.26
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%=162.38/108.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.26 is what percent of 162.38

100%/x%=162.38/108.26
(100/x)*x=(162.38/108.26)*x       - we multiply both sides of the equation by x
100=1.4999076297802*x       - we divide both sides of the equation by (1.4999076297802) to get x
100/1.4999076297802=x
66.670772262594=x
x=66.670772262594

now we have:
108.26 is 66.670772262594% of 162.38