107.8 is what percent of 161.2 - 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 161.2 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 161.2, so we can write it down as 100%=161.2.
4. We know, that x% equals 107.8 of the output value, so we can write it down as x%=107.8.
5. Now we have two simple equations:
1) 100%=161.2
2) x%=107.8
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%=161.2/107.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.8 is what percent of 161.2

100%/x%=161.2/107.8
(100/x)*x=(161.2/107.8)*x       - we multiply both sides of the equation by x
100=1.4953617810761*x       - we divide both sides of the equation by (1.4953617810761) to get x
100/1.4953617810761=x
66.873449131514=x
x=66.873449131514

now we have:
107.8 is 66.873449131514% of 161.2