109.85 is what percent of 142.81 - 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 142.81 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 142.81, so we can write it down as 100%=142.81.
4. We know, that x% equals 109.85 of the output value, so we can write it down as x%=109.85.
5. Now we have two simple equations:
1) 100%=142.81
2) x%=109.85
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%=142.81/109.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.85 is what percent of 142.81

100%/x%=142.81/109.85
(100/x)*x=(142.81/109.85)*x       - we multiply both sides of the equation by x
100=1.3000455166136*x       - we divide both sides of the equation by (1.3000455166136) to get x
100/1.3000455166136=x
76.92038372663=x
x=76.92038372663

now we have:
109.85 is 76.92038372663% of 142.81