106.28 is what percent of 155.35 - 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 155.35 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 155.35, so we can write it down as 100%=155.35.
4. We know, that x% equals 106.28 of the output value, so we can write it down as x%=106.28.
5. Now we have two simple equations:
1) 100%=155.35
2) x%=106.28
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%=155.35/106.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.28 is what percent of 155.35

100%/x%=155.35/106.28
(100/x)*x=(155.35/106.28)*x       - we multiply both sides of the equation by x
100=1.4617049303726*x       - we divide both sides of the equation by (1.4617049303726) to get x
100/1.4617049303726=x
68.413260379788=x
x=68.413260379788

now we have:
106.28 is 68.413260379788% of 155.35