10.35 is what percent of 12 - 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 12 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 12, so we can write it down as 100%=12.
4. We know, that x% equals 10.35 of the output value, so we can write it down as x%=10.35.
5. Now we have two simple equations:
1) 100%=12
2) x%=10.35
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%=12/10.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.35 is what percent of 12

100%/x%=12/10.35
(100/x)*x=(12/10.35)*x       - we multiply both sides of the equation by x
100=1.1594202898551*x       - we divide both sides of the equation by (1.1594202898551) to get x
100/1.1594202898551=x
86.25=x
x=86.25

now we have:
10.35 is 86.25% of 12