3.96 is what percent of 10.95 - 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 10.95 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 10.95, so we can write it down as 100%=10.95.
4. We know, that x% equals 3.96 of the output value, so we can write it down as x%=3.96.
5. Now we have two simple equations:
1) 100%=10.95
2) x%=3.96
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%=10.95/3.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.96 is what percent of 10.95

100%/x%=10.95/3.96
(100/x)*x=(10.95/3.96)*x       - we multiply both sides of the equation by x
100=2.7651515151515*x       - we divide both sides of the equation by (2.7651515151515) to get x
100/2.7651515151515=x
36.164383561644=x
x=36.164383561644

now we have:
3.96 is 36.164383561644% of 10.95