10.7 is what percent of 36 - 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 36 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 36, so we can write it down as 100%=36.
4. We know, that x% equals 10.7 of the output value, so we can write it down as x%=10.7.
5. Now we have two simple equations:
1) 100%=36
2) x%=10.7
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%=36/10.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.7 is what percent of 36

100%/x%=36/10.7
(100/x)*x=(36/10.7)*x       - we multiply both sides of the equation by x
100=3.3644859813084*x       - we divide both sides of the equation by (3.3644859813084) to get x
100/3.3644859813084=x
29.722222222222=x
x=29.722222222222

now we have:
10.7 is 29.722222222222% of 36